id	sid	tid	token	lemma	pos
cana-396	1	1	communications	communication	NOUN
cana-396	1	2	on	on	ADP
cana-396	1	3	applied	apply	VERB
cana-396	1	4	nonlinear	nonlinear	ADJ
cana-396	1	5	analysis	analysis	NOUN
cana-396	1	6	issn	issn	NOUN
cana-396	1	7	:	:	PUNCT
cana-396	1	8	1074	1074	NUM
cana-396	1	9	-	-	PUNCT
cana-396	1	10	133x	133x	NUM
cana-396	1	11	vol	vol	NOUN
cana-396	1	12	31	31	NUM
cana-396	1	13	no	no	NOUN
cana-396	1	14	.	.	NOUN
cana-396	1	15	1	1	NUM
cana-396	1	16	(	(	PUNCT
cana-396	1	17	2024	2024	NUM
cana-396	1	18	)	)	PUNCT
cana-396	1	19	207	207	NUM
cana-396	1	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-396	1	21	applications	application	NOUN
cana-396	1	22	of	of	ADP
cana-396	1	23	partial	partial	ADJ
cana-396	1	24	differential	differential	ADJ
cana-396	1	25	equations	equation	NOUN
cana-396	1	26	in	in	ADP
cana-396	1	27	fluid	fluid	ADJ
cana-396	1	28	physics	physics	PROPN
cana-396	1	29	dr	dr	PROPN
cana-396	1	30	.	.	PROPN
cana-396	1	31	y.	y.	PROPN
cana-396	1	32	swapna1	swapna1	PROPN
cana-396	1	33	,	,	PUNCT
cana-396	1	34	mr	mr	PROPN
cana-396	1	35	.	.	PROPN
cana-396	1	36	vinayak	vinayak	PROPN
cana-396	1	37	kishan	kishan	PROPN
cana-396	1	38	nirmale2	nirmale2	PROPN
cana-396	1	39	,	,	PUNCT
cana-396	1	40	mrs	mrs	PROPN
cana-396	1	41	.	.	PROPN
cana-396	1	42	naga	naga	PROPN
cana-396	1	43	pavani3	pavani3	PROPN
cana-396	1	44	,	,	PUNCT
cana-396	1	45	mr	mr	PROPN
cana-396	1	46	.	.	PROPN
cana-396	1	47	charanjit	charanjit	PROPN
cana-396	1	48	singh4	singh4	PROPN
cana-396	1	49	,	,	PUNCT
cana-396	1	50	mr	mr	PROPN
cana-396	1	51	.	.	PROPN
cana-396	1	52	r	r	PROPN
cana-396	1	53	ranganathan5	ranganathan5	PROPN
cana-396	1	54	,	,	PUNCT
cana-396	1	55	dr	dr	PROPN
cana-396	1	56	.	.	PROPN
cana-396	1	57	ashok	ashok	PROPN
cana-396	1	58	reddy	reddy	PROPN
cana-396	1	59	thontla6	thontla6	PROPN
cana-396	1	60	,	,	PUNCT
cana-396	1	61	dr	dr	PROPN
cana-396	1	62	.	.	PROPN
cana-396	1	63	nellore	nellore	PROPN
cana-396	1	64	manoj	manoj	PROPN
cana-396	1	65	kumar7	kumar7	PROPN
cana-396	1	66	*	*	PROPN
cana-396	1	67	1academic	1academic	NUM
cana-396	1	68	consultant	consultant	NOUN
cana-396	1	69	,	,	PUNCT
cana-396	1	70	department	department	NOUN
cana-396	1	71	of	of	ADP
cana-396	1	72	mathematics	mathematic	NOUN
cana-396	1	73	,	,	PUNCT
cana-396	1	74	sri	sri	PROPN
cana-396	1	75	venkateswara	venkateswara	PROPN
cana-396	1	76	university	university	PROPN
cana-396	1	77	,	,	PUNCT
cana-396	1	78	tirupati	tirupati	PROPN
cana-396	1	79	,	,	PUNCT
cana-396	1	80	andhra	andhra	PROPN
cana-396	1	81	pradesh	pradesh	PROPN
cana-396	1	82	,	,	PUNCT
cana-396	1	83	india	india	PROPN
cana-396	1	84	,	,	PUNCT
cana-396	1	85	pincode	pincode	ADJ
cana-396	1	86	:	:	PUNCT
cana-396	1	87	517502	517502	NUM
cana-396	1	88	email	email	NOUN
cana-396	1	89	:	:	PUNCT
cana-396	1	90	swapnaanand33@gmail.com	swapnaanand33@gmail.com	X
cana-396	1	91	2lecturer	2lecturer	NUM
cana-396	1	92	in	in	ADP
cana-396	1	93	mathematics	mathematic	NOUN
cana-396	1	94	,	,	PUNCT
cana-396	1	95	department	department	NOUN
cana-396	1	96	of	of	ADP
cana-396	1	97	polytechnic	polytechnic	ADJ
cana-396	1	98	,	,	PUNCT
cana-396	1	99	mit	mit	NOUN
cana-396	1	100	world	world	NOUN
cana-396	1	101	peace	peace	NOUN
cana-396	1	102	university	university	PROPN
cana-396	1	103	,	,	PUNCT
cana-396	1	104	pune	pune	NOUN
cana-396	1	105	,	,	PUNCT
cana-396	1	106	maharashtra	maharashtra	PROPN
cana-396	1	107	,	,	PUNCT
cana-396	1	108	india	india	PROPN
cana-396	1	109	,	,	PUNCT
cana-396	1	110	pincode	pincode	PROPN
cana-396	1	111	:	:	PUNCT
cana-396	1	112	411038	411038	NUM
cana-396	1	113	email	email	NOUN
cana-396	1	114	:	:	PUNCT
cana-396	1	115	vinayak.nirmale@mitwpu.edu.in	vinayak.nirmale@mitwpu.edu.in	VERB
cana-396	1	116	3assistant	3assistant	NUM
cana-396	1	117	professor	professor	NOUN
cana-396	1	118	,	,	PUNCT
cana-396	1	119	department	department	NOUN
cana-396	1	120	of	of	ADP
cana-396	1	121	humanities	humanity	NOUN
cana-396	1	122	and	and	CCONJ
cana-396	1	123	sciences	sciences	PROPN
cana-396	1	124	,	,	PUNCT
cana-396	1	125	hyderabad	hyderabad	PROPN
cana-396	1	126	institute	institute	PROPN
cana-396	1	127	of	of	ADP
cana-396	1	128	technology	technology	NOUN
cana-396	1	129	and	and	CCONJ
cana-396	1	130	management	management	NOUN
cana-396	1	131	,	,	PUNCT
cana-396	1	132	hyderabad	hyderabad	PROPN
cana-396	1	133	,	,	PUNCT
cana-396	1	134	telangana	telangana	PROPN
cana-396	1	135	,	,	PUNCT
cana-396	1	136	india	india	PROPN
cana-396	1	137	,	,	PUNCT
cana-396	1	138	pincode	pincode	ADJ
cana-396	1	139	:	:	PUNCT
cana-396	1	140	501401	501401	NUM
cana-396	1	141	email	email	NOUN
cana-396	1	142	:	:	PUNCT
cana-396	1	143	naga.pavani84@gmail.com	naga.pavani84@gmail.com	X
cana-396	1	144	4associate	4associate	NUM
cana-396	1	145	professor	professor	NOUN
cana-396	1	146	,	,	PUNCT
cana-396	1	147	department	department	NOUN
cana-396	1	148	of	of	ADP
cana-396	1	149	applied	apply	VERB
cana-396	1	150	science	science	NOUN
cana-396	1	151	and	and	CCONJ
cana-396	1	152	humanities	humanity	NOUN
cana-396	1	153	,	,	PUNCT
cana-396	1	154	global	global	ADJ
cana-396	1	155	group	group	NOUN
cana-396	1	156	of	of	ADP
cana-396	1	157	institutes	institutes	PROPN
cana-396	1	158	,	,	PUNCT
cana-396	1	159	amritsar	amritsar	PROPN
cana-396	1	160	,	,	PUNCT
cana-396	1	161	punjab	punjab	PROPN
cana-396	1	162	,	,	PUNCT
cana-396	1	163	india	india	PROPN
cana-396	1	164	,	,	PUNCT
cana-396	1	165	pincode	pincode	PROPN
cana-396	1	166	:	:	PUNCT
cana-396	1	167	143501	143501	NUM
cana-396	1	168	email	email	NOUN
cana-396	1	169	:	:	PUNCT
cana-396	1	170	pmaths21@gmail.com	pmaths21@gmail.com	X
cana-396	1	171	5assistant	5assistant	NUM
cana-396	1	172	professor	professor	NOUN
cana-396	1	173	,	,	PUNCT
cana-396	1	174	department	department	NOUN
cana-396	1	175	of	of	ADP
cana-396	1	176	mathematics	mathematic	NOUN
cana-396	1	177	,	,	PUNCT
cana-396	1	178	m.	m.	NOUN
cana-396	1	179	kumarasamy	kumarasamy	PROPN
cana-396	1	180	college	college	PROPN
cana-396	1	181	of	of	ADP
cana-396	1	182	engineering	engineering	PROPN
cana-396	1	183	,	,	PUNCT
cana-396	1	184	karur	karur	PROPN
cana-396	1	185	,	,	PUNCT
cana-396	1	186	tamilnadu	tamilnadu	PROPN
cana-396	1	187	,	,	PUNCT
cana-396	1	188	india	india	PROPN
cana-396	1	189	,	,	PUNCT
cana-396	1	190	pincode	pincode	PROPN
cana-396	1	191	:	:	PUNCT
cana-396	1	192	639113	639113	NUM
cana-396	1	193	email	email	NOUN
cana-396	1	194	:	:	PUNCT
cana-396	1	195	jairangan1982@gmail.com	jairangan1982@gmail.com	PROPN
cana-396	2	1	6manager	6manager	NUM
cana-396	2	2	analytics	analytic	NOUN
cana-396	2	3	,	,	PUNCT
cana-396	2	4	department	department	NOUN
cana-396	2	5	of	of	ADP
cana-396	2	6	it	it	PRON
cana-396	2	7	,	,	PUNCT
cana-396	2	8	cognizant	cognizant	ADJ
cana-396	2	9	srihanuman	srihanuman	NOUN
cana-396	2	10	arcade	arcade	NOUN
cana-396	2	11	,	,	PUNCT
cana-396	2	12	kphb	kphb	NOUN
cana-396	2	13	9	9	NUM
cana-396	2	14	phase	phase	NOUN
cana-396	2	15	,	,	PUNCT
cana-396	2	16	hyderabad	hyderabad	PROPN
cana-396	2	17	,	,	PUNCT
cana-396	2	18	india	india	PROPN
cana-396	2	19	,	,	PUNCT
cana-396	2	20	pincode	pincode	ADJ
cana-396	2	21	:	:	PUNCT
cana-396	2	22	500085	500085	NUM
cana-396	2	23	email	email	NOUN
cana-396	2	24	i	i	PROPN
cana-396	2	25	d	d	PROPN
cana-396	2	26	:	:	PUNCT
cana-396	2	27	ashokthontla@gmail.com	ashokthontla@gmail.com	X
cana-396	3	1	7department	7department	NUM
cana-396	3	2	of	of	ADP
cana-396	3	3	mathematics	mathematic	NOUN
cana-396	3	4	,	,	PUNCT
cana-396	3	5	saveetha	saveetha	PROPN
cana-396	3	6	school	school	PROPN
cana-396	3	7	of	of	ADP
cana-396	3	8	engineering	engineering	PROPN
cana-396	3	9	,	,	PUNCT
cana-396	3	10	saveetha	saveetha	PROPN
cana-396	3	11	institute	institute	PROPN
cana-396	3	12	of	of	ADP
cana-396	3	13	medical	medical	ADJ
cana-396	3	14	and	and	CCONJ
cana-396	3	15	technical	technical	ADJ
cana-396	3	16	sciences	science	NOUN
cana-396	3	17	(	(	PUNCT
cana-396	3	18	simats	simat	NOUN
cana-396	3	19	)	)	PUNCT
cana-396	3	20	,	,	PUNCT
cana-396	3	21	thandalam	thandalam	PROPN
cana-396	3	22	,	,	PUNCT
cana-396	3	23	chennai	chennai	PROPN
cana-396	3	24	,	,	PUNCT
cana-396	3	25	tamilnadu	tamilnadu	NOUN
cana-396	3	26	,	,	PUNCT
cana-396	3	27	india	india	PROPN
cana-396	3	28	,	,	PUNCT
cana-396	3	29	pincode	pincode	PROPN
cana-396	3	30	:	:	PUNCT
cana-396	3	31	602	602	NUM
cana-396	3	32	105	105	NUM
cana-396	3	33	email	email	NOUN
cana-396	4	1	i	i	PROPN
cana-396	4	2	d	d	PROPN
cana-396	4	3	:	:	PUNCT
cana-396	4	4	nelloremk@gmail.com	nelloremk@gmail.com	X
cana-396	5	1	orcid	orcid	NOUN
cana-396	5	2	:	:	PUNCT
cana-396	5	3	0000	0000	NUM
cana-396	5	4	-	-	PUNCT
cana-396	5	5	0002	0002	NUM
cana-396	5	6	-	-	PUNCT
cana-396	5	7	1349	1349	NUM
cana-396	5	8	-	-	PUNCT
cana-396	5	9	800x	800x	NUM
cana-396	5	10	article	article	NOUN
cana-396	5	11	history	history	NOUN
cana-396	5	12	:	:	PUNCT
cana-396	5	13	received	receive	VERB
cana-396	5	14	:	:	PUNCT
cana-396	5	15	15	15	NUM
cana-396	5	16	-	-	SYM
cana-396	5	17	10	10	NUM
cana-396	5	18	-	-	PUNCT
cana-396	5	19	2023	2023	NUM
cana-396	5	20	revised	revise	VERB
cana-396	5	21	:	:	PUNCT
cana-396	5	22	30	30	NUM
cana-396	5	23	-	-	SYM
cana-396	5	24	11	11	NUM
cana-396	5	25	-	-	SYM
cana-396	5	26	2023	2023	NUM
cana-396	5	27	accepted	accept	VERB
cana-396	5	28	:	:	PUNCT
cana-396	5	29	16	16	NUM
cana-396	5	30	-	-	SYM
cana-396	5	31	12	12	NUM
cana-396	5	32	-	-	PUNCT
cana-396	5	33	2023	2023	NUM
cana-396	5	34	abstract	abstract	NOUN
cana-396	5	35	:	:	PUNCT
cana-396	5	36	partial	partial	ADJ
cana-396	5	37	differential	differential	NOUN
cana-396	5	38	equations	equation	NOUN
cana-396	5	39	,	,	PUNCT
cana-396	5	40	or	or	CCONJ
cana-396	5	41	pdes	pde	NOUN
cana-396	5	42	,	,	PUNCT
cana-396	5	43	assume	assume	VERB
cana-396	5	44	a	a	DET
cana-396	5	45	critical	critical	ADJ
cana-396	5	46	part	part	NOUN
cana-396	5	47	in	in	ADP
cana-396	5	48	grasping	grasp	VERB
cana-396	5	49	and	and	CCONJ
cana-396	5	50	outlining	outline	VERB
cana-396	5	51	different	different	ADJ
cana-396	5	52	fluid	fluid	ADJ
cana-396	5	53	physics	physics	NOUN
cana-396	5	54	peculiarities	peculiarity	NOUN
cana-396	5	55	.	.	PUNCT
cana-396	6	1	they	they	PRON
cana-396	6	2	have	have	VERB
cana-396	6	3	an	an	DET
cana-396	6	4	expansive	expansive	ADJ
cana-396	6	5	scope	scope	NOUN
cana-396	6	6	of	of	ADP
cana-396	6	7	utilizations	utilization	NOUN
cana-396	6	8	,	,	PUNCT
cana-396	6	9	from	from	ADP
cana-396	6	10	expecting	expect	VERB
cana-396	6	11	weather	weather	NOUN
cana-396	6	12	patterns	pattern	NOUN
cana-396	6	13	to	to	ADP
cana-396	6	14	consolidating	consolidate	VERB
cana-396	6	15	ocean	ocean	NOUN
cana-396	6	16	streams	stream	NOUN
cana-396	6	17	,	,	PUNCT
cana-396	6	18	fire	fire	NOUN
cana-396	6	19	cycles	cycle	NOUN
cana-396	6	20	,	,	PUNCT
cana-396	6	21	and	and	CCONJ
cana-396	6	22	fluid	fluid	ADJ
cana-396	6	23	streams	stream	NOUN
cana-396	6	24	into	into	ADP
cana-396	6	25	system	system	NOUN
cana-396	6	26	plan	plan	NOUN
cana-396	6	27	.	.	PUNCT
cana-396	7	1	these	these	DET
cana-396	7	2	equations	equation	NOUN
cana-396	7	3	oversee	oversee	VERB
cana-396	7	4	the	the	DET
cana-396	7	5	way	way	NOUN
cana-396	7	6	of	of	ADP
cana-396	7	7	behaving	behave	VERB
cana-396	7	8	of	of	ADP
cana-396	7	9	fluid	fluid	ADJ
cana-396	7	10	amounts	amount	NOUN
cana-396	7	11	like	like	ADP
cana-396	7	12	as	as	ADP
cana-396	7	13	speed	speed	NOUN
cana-396	7	14	,	,	PUNCT
cana-396	7	15	stress	stress	NOUN
cana-396	7	16	,	,	PUNCT
cana-396	7	17	temperature	temperature	NOUN
cana-396	7	18	,	,	PUNCT
cana-396	7	19	and	and	CCONJ
cana-396	7	20	consistency	consistency	NOUN
cana-396	7	21	.	.	PUNCT
cana-396	8	1	they	they	PRON
cana-396	8	2	portray	portray	VERB
cana-396	8	3	complex	complex	ADJ
cana-396	8	4	collaborations	collaboration	NOUN
cana-396	8	5	like	like	ADP
cana-396	8	6	changes	change	NOUN
cana-396	8	7	in	in	ADP
cana-396	8	8	precipitation	precipitation	NOUN
cana-396	8	9	,	,	PUNCT
cana-396	8	10	scattering	scattering	NOUN
cana-396	8	11	,	,	PUNCT
cana-396	8	12	and	and	CCONJ
cana-396	8	13	fluid	fluid	ADJ
cana-396	8	14	-	-	PUNCT
cana-396	8	15	solid	solid	ADJ
cana-396	8	16	associations	association	NOUN
cana-396	8	17	.	.	PUNCT
cana-396	9	1	partial	partial	ADJ
cana-396	9	2	differential	differential	ADJ
cana-396	9	3	equations	equation	NOUN
cana-396	9	4	are	be	AUX
cana-396	9	5	utilized	utilize	VERB
cana-396	9	6	to	to	PART
cana-396	9	7	apply	apply	VERB
cana-396	9	8	the	the	DET
cana-396	9	9	developing	develop	VERB
cana-396	9	10	methodology	methodology	NOUN
cana-396	9	11	.	.	PUNCT
cana-396	10	1	the	the	DET
cana-396	10	2	arrangement	arrangement	NOUN
cana-396	10	3	is	be	AUX
cana-396	10	4	equivalent	equivalent	ADJ
cana-396	10	5	to	to	ADP
cana-396	10	6	for	for	ADP
cana-396	10	7	the	the	DET
cana-396	10	8	recently	recently	ADV
cana-396	10	9	concentrated	concentrate	VERB
cana-396	10	10	on	on	ADP
cana-396	10	11	examples	example	NOUN
cana-396	10	12	of	of	ADP
cana-396	10	13	typical	typical	ADJ
cana-396	10	14	differential	differential	ADJ
cana-396	10	15	equations	equation	NOUN
cana-396	10	16	.	.	PUNCT
cana-396	11	1	there	there	PRON
cana-396	11	2	are	be	VERB
cana-396	11	3	two	two	NUM
cana-396	11	4	kinds	kind	NOUN
cana-396	11	5	of	of	ADP
cana-396	11	6	partial	partial	ADJ
cana-396	11	7	differential	differential	NOUN
cana-396	11	8	equations	equation	NOUN
cana-396	11	9	:	:	PUNCT
cana-396	11	10	nonlinear	nonlinear	ADJ
cana-396	11	11	and	and	CCONJ
cana-396	11	12	straight	straight	ADJ
cana-396	11	13	.	.	PUNCT
cana-396	12	1	some	some	DET
cana-396	12	2	certifiable	certifiable	ADJ
cana-396	12	3	equations	equation	NOUN
cana-396	12	4	,	,	PUNCT
cana-396	12	5	for	for	ADP
cana-396	12	6	example	example	NOUN
cana-396	12	7	,	,	PUNCT
cana-396	12	8	those	those	PRON
cana-396	12	9	in	in	ADP
cana-396	12	10	electrostatics	electrostatic	NOUN
cana-396	12	11	,	,	PUNCT
cana-396	12	12	heat	heat	NOUN
cana-396	12	13	conduction	conduction	NOUN
cana-396	12	14	,	,	PUNCT
cana-396	12	15	transmission	transmission	NOUN
cana-396	12	16	lines	line	NOUN
cana-396	12	17	,	,	PUNCT
cana-396	12	18	quantum	quantum	NOUN
cana-396	12	19	mechanics	mechanic	NOUN
cana-396	12	20	,	,	PUNCT
cana-396	12	21	and	and	CCONJ
cana-396	12	22	wave	wave	NOUN
cana-396	12	23	hypothesis	hypothesis	NOUN
cana-396	12	24	,	,	PUNCT
cana-396	12	25	feature	feature	VERB
cana-396	12	26	the	the	DET
cana-396	12	27	significance	significance	NOUN
cana-396	12	28	of	of	ADP
cana-396	12	29	partial	partial	ADJ
cana-396	12	30	differential	differential	ADJ
cana-396	12	31	equations	equation	NOUN
cana-396	12	32	(	(	PUNCT
cana-396	12	33	pdes	pde	NOUN
cana-396	12	34	)	)	PUNCT
cana-396	12	35	.	.	PUNCT
cana-396	13	1	to	to	PART
cana-396	13	2	make	make	VERB
cana-396	13	3	sense	sense	NOUN
cana-396	13	4	of	of	ADP
cana-396	13	5	something	something	PRON
cana-396	13	6	other	other	ADJ
cana-396	13	7	than	than	ADP
cana-396	13	8	one	one	NUM
cana-396	13	9	,	,	PUNCT
cana-396	13	10	two	two	NUM
cana-396	13	11	,	,	PUNCT
cana-396	13	12	or	or	CCONJ
cana-396	13	13	three	three	NUM
cana-396	13	14	pieces	piece	NOUN
cana-396	13	15	of	of	ADP
cana-396	13	16	the	the	DET
cana-396	13	17	partial	partial	ADJ
cana-396	13	18	differential	differential	NOUN
cana-396	13	19	equations	equation	NOUN
cana-396	13	20	,	,	PUNCT
cana-396	13	21	we	we	PRON
cana-396	13	22	will	will	AUX
cana-396	13	23	check	check	VERB
cana-396	13	24	out	out	ADP
cana-396	13	25	at	at	ADP
cana-396	13	26	the	the	DET
cana-396	13	27	speculative	speculative	ADJ
cana-396	13	28	piece	piece	NOUN
cana-396	13	29	of	of	ADP
cana-396	13	30	those	those	DET
cana-396	13	31	applications	application	NOUN
cana-396	13	32	that	that	PRON
cana-396	13	33	utilization	utilization	NOUN
cana-396	13	34	pdes	pde	VERB
cana-396	13	35	in	in	ADP
cana-396	13	36	this	this	DET
cana-396	13	37	examination	examination	NOUN
cana-396	13	38	.	.	PUNCT
cana-396	14	1	in	in	ADP
cana-396	14	2	all	all	DET
cana-396	14	3	parts	part	NOUN
cana-396	14	4	of	of	ADP
cana-396	14	5	science	science	NOUN
cana-396	14	6	and	and	CCONJ
cana-396	14	7	development	development	NOUN
cana-396	14	8	,	,	PUNCT
cana-396	14	9	partial	partial	ADJ
cana-396	14	10	differential	differential	NOUN
cana-396	14	11	equations	equation	NOUN
cana-396	14	12	,	,	PUNCT
cana-396	14	13	or	or	CCONJ
cana-396	14	14	pdes	pde	NOUN
cana-396	14	15	,	,	PUNCT
cana-396	14	16	are	be	AUX
cana-396	14	17	generally	generally	ADV
cana-396	14	18	utilized	utilize	VERB
cana-396	14	19	.	.	PUNCT
cana-396	15	1	partial	partial	ADJ
cana-396	15	2	differential	differential	ADJ
cana-396	15	3	equations	equation	NOUN
cana-396	15	4	handle	handle	VERB
cana-396	15	5	most	most	ADJ
cana-396	15	6	of	of	ADP
cana-396	15	7	genuine	genuine	ADJ
cana-396	15	8	frameworks	framework	NOUN
cana-396	15	9	.	.	PUNCT
cana-396	16	1	a	a	DET
cana-396	16	2	condition	condition	NOUN
cana-396	16	3	communicating	communicate	VERB
cana-396	16	4	a	a	DET
cana-396	16	5	connection	connection	NOUN
cana-396	16	6	between	between	ADP
cana-396	16	7	a	a	DET
cana-396	16	8	piece	piece	NOUN
cana-396	16	9	of	of	ADP
cana-396	16	10	no	no	DET
cana-396	16	11	less	less	ADJ
cana-396	16	12	than	than	ADP
cana-396	16	13	two	two	NUM
cana-396	16	14	free	free	ADJ
cana-396	16	15	factors	factor	NOUN
cana-396	16	16	and	and	CCONJ
cana-396	16	17	the	the	DET
cana-396	16	18	partial	partial	ADJ
cana-396	16	19	helpers	helper	NOUN
cana-396	16	20	of	of	ADP
cana-396	16	21	this	this	DET
cana-396	16	22	cutoff	cutoff	NOUN
cana-396	16	23	concerning	concern	VERB
cana-396	16	24	these	these	DET
cana-396	16	25	free	free	ADJ
cana-396	16	26	factors	factor	NOUN
cana-396	16	27	is	be	AUX
cana-396	16	28	known	know	VERB
cana-396	16	29	as	as	ADP
cana-396	16	30	a	a	DET
cana-396	16	31	partial	partial	ADJ
cana-396	16	32	differential	differential	NOUN
cana-396	16	33	condition	condition	NOUN
cana-396	16	34	,	,	PUNCT
cana-396	16	35	or	or	CCONJ
cana-396	16	36	pde	pde	NOUN
cana-396	16	37	.	.	PUNCT
cana-396	17	1	keywords	keyword	NOUN
cana-396	17	2	:	:	PUNCT
cana-396	17	3	partial	partial	ADJ
cana-396	17	4	differential	differential	NOUN
cana-396	17	5	equations	equation	NOUN
cana-396	17	6	,	,	PUNCT
cana-396	17	7	fluid	fluid	ADJ
cana-396	17	8	physics	physic	NOUN
cana-396	17	9	,	,	PUNCT
cana-396	17	10	stochastic	stochastic	ADJ
cana-396	17	11	partial	partial	ADJ
cana-396	17	12	differential	differential	NOUN
cana-396	17	13	equations	equation	NOUN
cana-396	17	14	.	.	PUNCT
cana-396	18	1	communications	communication	NOUN
cana-396	18	2	on	on	ADP
cana-396	18	3	applied	apply	VERB
cana-396	18	4	nonlinear	nonlinear	ADJ
cana-396	18	5	analysis	analysis	NOUN
cana-396	18	6	issn	issn	NOUN
cana-396	18	7	:	:	PUNCT
cana-396	18	8	1074	1074	NUM
cana-396	18	9	-	-	PUNCT
cana-396	18	10	133x	133x	NUM
cana-396	18	11	vol	vol	NOUN
cana-396	18	12	31	31	NUM
cana-396	18	13	no	no	NOUN
cana-396	18	14	.	.	NOUN
cana-396	18	15	1	1	NUM
cana-396	18	16	(	(	PUNCT
cana-396	18	17	2024	2024	NUM
cana-396	18	18	)	)	PUNCT
cana-396	19	1	208	208	NUM
cana-396	19	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-396	19	3	1	1	NUM
cana-396	19	4	.	.	PUNCT
cana-396	19	5	introduction	introduction	NOUN
cana-396	19	6	partial	partial	ADJ
cana-396	19	7	differential	differential	NOUN
cana-396	19	8	equations	equation	NOUN
cana-396	19	9	,	,	PUNCT
cana-396	19	10	or	or	CCONJ
cana-396	19	11	pdes	pde	NOUN
cana-396	19	12	,	,	PUNCT
cana-396	19	13	assume	assume	VERB
cana-396	19	14	a	a	DET
cana-396	19	15	critical	critical	ADJ
cana-396	19	16	part	part	NOUN
cana-396	19	17	in	in	ADP
cana-396	19	18	the	the	DET
cana-396	19	19	investigation	investigation	NOUN
cana-396	19	20	of	of	ADP
cana-396	19	21	fluid	fluid	ADJ
cana-396	19	22	physics	physics	NOUN
cana-396	19	23	since	since	SCONJ
cana-396	19	24	they	they	PRON
cana-396	19	25	give	give	VERB
cana-396	19	26	strong	strong	ADJ
cana-396	19	27	mathematical	mathematical	ADJ
cana-396	19	28	devices	device	NOUN
cana-396	19	29	to	to	ADP
cana-396	19	30	understanding	understand	VERB
cana-396	19	31	how	how	SCONJ
cana-396	19	32	fluids	fluid	NOUN
cana-396	19	33	act	act	VERB
cana-396	19	34	in	in	ADP
cana-396	19	35	some	some	DET
cana-396	19	36	genuine	genuine	ADJ
cana-396	19	37	situations	situation	NOUN
cana-396	19	38	.	.	PUNCT
cana-396	20	1	the	the	DET
cana-396	20	2	part	part	NOUN
cana-396	20	3	of	of	ADP
cana-396	20	4	physics	physic	NOUN
cana-396	20	5	known	know	VERB
cana-396	20	6	as	as	ADP
cana-396	20	7	fluid	fluid	ADJ
cana-396	20	8	components	component	NOUN
cana-396	20	9	,	,	PUNCT
cana-396	20	10	which	which	PRON
cana-396	20	11	manages	manage	VERB
cana-396	20	12	the	the	DET
cana-396	20	13	movement	movement	NOUN
cana-396	20	14	of	of	ADP
cana-396	20	15	fluids	fluid	NOUN
cana-396	20	16	and	and	CCONJ
cana-396	20	17	the	the	DET
cana-396	20	18	powers	power	NOUN
cana-396	20	19	following	follow	VERB
cana-396	20	20	up	up	ADP
cana-396	20	21	on	on	ADP
cana-396	20	22	them	they	PRON
cana-396	20	23	,	,	PUNCT
cana-396	20	24	vigorously	vigorously	ADV
cana-396	20	25	depends	depend	VERB
cana-396	20	26	on	on	ADP
cana-396	20	27	the	the	DET
cana-396	20	28	utilization	utilization	NOUN
cana-396	20	29	of	of	ADP
cana-396	20	30	pdes	pde	NOUN
cana-396	20	31	to	to	PART
cana-396	20	32	delineate	delineate	VERB
cana-396	20	33	complex	complex	ADJ
cana-396	20	34	subtleties	subtlety	NOUN
cana-396	20	35	like	like	ADP
cana-396	20	36	fluid	fluid	ADJ
cana-396	20	37	stream	stream	NOUN
cana-396	20	38	,	,	PUNCT
cana-396	20	39	roughness	roughness	NOUN
cana-396	20	40	,	,	PUNCT
cana-396	20	41	heat	heat	NOUN
cana-396	20	42	move	move	NOUN
cana-396	20	43	,	,	PUNCT
cana-396	20	44	and	and	CCONJ
cana-396	20	45	wave	wave	NOUN
cana-396	20	46	age	age	NOUN
cana-396	20	47	.	.	PUNCT
cana-396	21	1	the	the	DET
cana-396	21	2	navier	navier	NOUN
cana-396	21	3	-	-	PUNCT
cana-396	21	4	stirsup	stirsup	ADJ
cana-396	21	5	equations	equation	NOUN
cana-396	21	6	,	,	PUNCT
cana-396	21	7	which	which	PRON
cana-396	21	8	control	control	VERB
cana-396	21	9	the	the	DET
cana-396	21	10	progression	progression	NOUN
cana-396	21	11	of	of	ADP
cana-396	21	12	thick	thick	ADJ
cana-396	21	13	fluids	fluid	NOUN
cana-396	21	14	,	,	PUNCT
cana-396	21	15	are	be	AUX
cana-396	21	16	an	an	DET
cana-396	21	17	essential	essential	ADJ
cana-396	21	18	use	use	NOUN
cana-396	21	19	of	of	ADP
cana-396	21	20	pdes	pde	NOUN
cana-396	21	21	in	in	ADP
cana-396	21	22	fluid	fluid	ADJ
cana-396	21	23	physics	physic	NOUN
cana-396	21	24	.	.	PUNCT
cana-396	22	1	these	these	DET
cana-396	22	2	equations	equation	NOUN
cana-396	22	3	show	show	VERB
cana-396	22	4	how	how	SCONJ
cana-396	22	5	a	a	DET
cana-396	22	6	fluid	fluid	NOUN
cana-396	22	7	's	's	PART
cana-396	22	8	pressure	pressure	NOUN
cana-396	22	9	,	,	PUNCT
cana-396	22	10	thickness	thickness	NOUN
cana-396	22	11	,	,	PUNCT
cana-396	22	12	and	and	CCONJ
cana-396	22	13	speed	speed	NOUN
cana-396	22	14	change	change	NOUN
cana-396	22	15	after	after	ADP
cana-396	22	16	some	some	DET
cana-396	22	17	time	time	NOUN
cana-396	22	18	while	while	SCONJ
cana-396	22	19	representing	represent	VERB
cana-396	22	20	outside	outside	ADJ
cana-396	22	21	powers	power	NOUN
cana-396	22	22	and	and	CCONJ
cana-396	22	23	consistency	consistency	NOUN
cana-396	22	24	.	.	PUNCT
cana-396	23	1	specialists	specialist	NOUN
cana-396	23	2	and	and	CCONJ
cana-396	23	3	specialists	specialist	NOUN
cana-396	23	4	can	can	AUX
cana-396	23	5	foresee	foresee	VERB
cana-396	23	6	the	the	DET
cana-396	23	7	way	way	NOUN
cana-396	23	8	of	of	ADP
cana-396	23	9	behaving	behave	VERB
cana-396	23	10	of	of	ADP
cana-396	23	11	fluids	fluid	NOUN
cana-396	23	12	in	in	ADP
cana-396	23	13	different	different	ADJ
cana-396	23	14	circumstances	circumstance	NOUN
cana-396	23	15	,	,	PUNCT
cana-396	23	16	for	for	ADP
cana-396	23	17	example	example	NOUN
cana-396	23	18	,	,	PUNCT
cana-396	23	19	the	the	DET
cana-396	23	20	advancement	advancement	NOUN
cana-396	23	21	of	of	ADP
cana-396	23	22	marine	marine	ADJ
cana-396	23	23	streams	stream	NOUN
cana-396	23	24	or	or	CCONJ
cana-396	23	25	the	the	DET
cana-396	23	26	development	development	NOUN
cana-396	23	27	of	of	ADP
cana-396	23	28	air	air	NOUN
cana-396	23	29	around	around	ADP
cana-396	23	30	a	a	DET
cana-396	23	31	plane	plane	NOUN
cana-396	23	32	wing	wing	NOUN
cana-396	23	33	,	,	PUNCT
cana-396	23	34	by	by	ADP
cana-396	23	35	addressing	address	VERB
cana-396	23	36	the	the	DET
cana-396	23	37	navier	navier	NOUN
cana-396	23	38	-	-	PUNCT
cana-396	23	39	blends	blend	NOUN
cana-396	23	40	equations	equation	NOUN
cana-396	23	41	.	.	PUNCT
cana-396	24	1	pdes	pde	NOUN
cana-396	24	2	are	be	AUX
cana-396	24	3	likewise	likewise	ADV
cana-396	24	4	used	use	VERB
cana-396	24	5	to	to	PART
cana-396	24	6	delineate	delineate	VERB
cana-396	24	7	other	other	ADJ
cana-396	24	8	significant	significant	ADJ
cana-396	24	9	parts	part	NOUN
cana-396	24	10	of	of	ADP
cana-396	24	11	fluid	fluid	ADJ
cana-396	24	12	components	component	NOUN
cana-396	24	13	,	,	PUNCT
cana-396	24	14	like	like	ADP
cana-396	24	15	force	force	NOUN
cana-396	24	16	conduction	conduction	NOUN
cana-396	24	17	and	and	CCONJ
cana-396	24	18	dispersal	dispersal	NOUN
cana-396	24	19	,	,	PUNCT
cana-396	24	20	notwithstanding	notwithstanding	ADP
cana-396	24	21	the	the	DET
cana-396	24	22	navier	navier	NOUN
cana-396	24	23	-	-	PUNCT
cana-396	24	24	stirsup	stirsup	ADJ
cana-396	24	25	equations	equation	NOUN
cana-396	24	26	.	.	PUNCT
cana-396	25	1	one	one	NUM
cana-396	25	2	sort	sort	NOUN
cana-396	25	3	of	of	ADP
cana-396	25	4	pde	pde	NOUN
cana-396	25	5	that	that	PRON
cana-396	25	6	represents	represent	VERB
cana-396	25	7	how	how	SCONJ
cana-396	25	8	temperature	temperature	NOUN
cana-396	25	9	moves	move	NOUN
cana-396	25	10	inside	inside	ADP
cana-396	25	11	a	a	DET
cana-396	25	12	fluid	fluid	NOUN
cana-396	25	13	over	over	ADP
cana-396	25	14	the	the	DET
cana-396	25	15	long	long	ADJ
cana-396	25	16	haul	haul	NOUN
cana-396	25	17	because	because	SCONJ
cana-396	25	18	of	of	ADP
cana-396	25	19	warmed	warm	VERB
cana-396	25	20	conduction	conduction	NOUN
cana-396	25	21	is	be	AUX
cana-396	25	22	the	the	DET
cana-396	25	23	power	power	NOUN
cana-396	25	24	condition	condition	NOUN
cana-396	25	25	.	.	PUNCT
cana-396	26	1	researchers	researcher	NOUN
cana-396	26	2	can	can	AUX
cana-396	26	3	explore	explore	VERB
cana-396	26	4	peculiarities	peculiarity	NOUN
cana-396	26	5	,	,	PUNCT
cana-396	26	6	for	for	ADP
cana-396	26	7	example	example	NOUN
cana-396	26	8	,	,	PUNCT
cana-396	26	9	the	the	DET
cana-396	26	10	dispersal	dispersal	NOUN
cana-396	26	11	of	of	ADP
cana-396	26	12	toxic	toxic	ADJ
cana-396	26	13	substances	substance	NOUN
cana-396	26	14	in	in	ADP
cana-396	26	15	a	a	DET
cana-396	26	16	stream	stream	NOUN
cana-396	26	17	or	or	CCONJ
cana-396	26	18	the	the	DET
cana-396	26	19	cooling	cooling	NOUN
cana-396	26	20	of	of	ADP
cana-396	26	21	a	a	DET
cana-396	26	22	hot	hot	ADJ
cana-396	26	23	item	item	NOUN
cana-396	26	24	in	in	ADP
cana-396	26	25	a	a	DET
cana-396	26	26	fluid	fluid	NOUN
cana-396	26	27	by	by	ADP
cana-396	26	28	changing	change	VERB
cana-396	26	29	the	the	DET
cana-396	26	30	power	power	NOUN
cana-396	26	31	condition	condition	NOUN
cana-396	26	32	.	.	PUNCT
cana-396	27	1	besides	besides	SCONJ
cana-396	27	2	,	,	PUNCT
cana-396	27	3	pdes	pde	NOUN
cana-396	27	4	are	be	AUX
cana-396	27	5	fundamental	fundamental	ADJ
cana-396	27	6	for	for	ADP
cana-396	27	7	understanding	understanding	NOUN
cana-396	27	8	and	and	CCONJ
cana-396	27	9	anticipating	anticipate	VERB
cana-396	27	10	the	the	DET
cana-396	27	11	way	way	NOUN
cana-396	27	12	of	of	ADP
cana-396	27	13	behaving	behave	VERB
cana-396	27	14	of	of	ADP
cana-396	27	15	waves	wave	NOUN
cana-396	27	16	in	in	ADP
cana-396	27	17	fluids	fluid	NOUN
cana-396	27	18	,	,	PUNCT
cana-396	27	19	like	like	ADP
cana-396	27	20	electromagnetic	electromagnetic	NOUN
cana-396	27	21	,	,	PUNCT
cana-396	27	22	sound	sound	NOUN
cana-396	27	23	,	,	PUNCT
cana-396	27	24	and	and	CCONJ
cana-396	27	25	water	water	NOUN
cana-396	27	26	waves	wave	NOUN
cana-396	27	27	.	.	PUNCT
cana-396	28	1	one	one	NUM
cana-396	28	2	more	more	ADJ
cana-396	28	3	kind	kind	NOUN
cana-396	28	4	of	of	ADP
cana-396	28	5	pde	pde	NOUN
cana-396	28	6	is	be	AUX
cana-396	28	7	a	a	DET
cana-396	28	8	wave	wave	NOUN
cana-396	28	9	equation	equation	NOUN
cana-396	28	10	,	,	PUNCT
cana-396	28	11	which	which	PRON
cana-396	28	12	controls	control	VERB
cana-396	28	13	the	the	DET
cana-396	28	14	production	production	NOUN
cana-396	28	15	of	of	ADP
cana-396	28	16	waves	wave	NOUN
cana-396	28	17	through	through	ADP
cana-396	28	18	a	a	DET
cana-396	28	19	medium	medium	NOUN
cana-396	28	20	and	and	CCONJ
cana-396	28	21	records	record	NOUN
cana-396	28	22	for	for	ADP
cana-396	28	23	peculiarities	peculiarity	NOUN
cana-396	28	24	like	like	ADP
cana-396	28	25	diffraction	diffraction	NOUN
cana-396	28	26	,	,	PUNCT
cana-396	28	27	blockage	blockage	NOUN
cana-396	28	28	,	,	PUNCT
cana-396	28	29	and	and	CCONJ
cana-396	28	30	refraction	refraction	NOUN
cana-396	28	31	.	.	PUNCT
cana-396	29	1	by	by	ADP
cana-396	29	2	concentrating	concentrate	VERB
cana-396	29	3	on	on	ADP
cana-396	29	4	wave	wave	NOUN
cana-396	29	5	equations	equation	NOUN
cana-396	29	6	,	,	PUNCT
cana-396	29	7	researchers	researcher	NOUN
cana-396	29	8	can	can	AUX
cana-396	29	9	zero	zero	VERB
cana-396	29	10	in	in	ADP
cana-396	29	11	on	on	ADP
cana-396	29	12	how	how	SCONJ
cana-396	29	13	waves	wave	NOUN
cana-396	29	14	connect	connect	VERB
cana-396	29	15	with	with	ADP
cana-396	29	16	obstructions	obstruction	NOUN
cana-396	29	17	,	,	PUNCT
cana-396	29	18	what	what	DET
cana-396	29	19	fluid	fluid	ADJ
cana-396	29	20	characteristics	characteristic	NOUN
cana-396	29	21	mean	mean	VERB
cana-396	29	22	for	for	ADP
cana-396	29	23	them	they	PRON
cana-396	29	24	,	,	PUNCT
cana-396	29	25	and	and	CCONJ
cana-396	29	26	how	how	SCONJ
cana-396	29	27	they	they	PRON
cana-396	29	28	can	can	AUX
cana-396	29	29	be	be	AUX
cana-396	29	30	controlled	control	VERB
cana-396	29	31	for	for	ADP
cana-396	29	32	various	various	ADJ
cana-396	29	33	purposes	purpose	NOUN
cana-396	29	34	,	,	PUNCT
cana-396	29	35	from	from	ADP
cana-396	29	36	oceanography	oceanography	NOUN
cana-396	29	37	to	to	ADP
cana-396	29	38	clinical	clinical	ADJ
cana-396	29	39	imaging	imaging	NOUN
cana-396	29	40	.	.	PUNCT
cana-396	30	1	in	in	ADP
cana-396	30	2	the	the	DET
cana-396	30	3	investigation	investigation	NOUN
cana-396	30	4	of	of	ADP
cana-396	30	5	fluid	fluid	ADJ
cana-396	30	6	physics	physic	NOUN
cana-396	30	7	,	,	PUNCT
cana-396	30	8	partial	partial	ADJ
cana-396	30	9	differential	differential	ADJ
cana-396	30	10	equations	equation	NOUN
cana-396	30	11	assume	assume	VERB
cana-396	30	12	a	a	DET
cana-396	30	13	focal	focal	ADJ
cana-396	30	14	part	part	NOUN
cana-396	30	15	by	by	ADP
cana-396	30	16	giving	give	VERB
cana-396	30	17	a	a	DET
cana-396	30	18	powerful	powerful	ADJ
cana-396	30	19	mathematical	mathematical	ADJ
cana-396	30	20	structure	structure	NOUN
cana-396	30	21	to	to	ADP
cana-396	30	22	representing	represent	VERB
cana-396	30	23	and	and	CCONJ
cana-396	30	24	dissecting	dissect	VERB
cana-396	30	25	the	the	DET
cana-396	30	26	way	way	NOUN
cana-396	30	27	of	of	ADP
cana-396	30	28	behaving	behave	VERB
cana-396	30	29	of	of	ADP
cana-396	30	30	fluids	fluid	NOUN
cana-396	30	31	in	in	ADP
cana-396	30	32	some	some	DET
cana-396	30	33	genuine	genuine	ADJ
cana-396	30	34	situations	situation	NOUN
cana-396	30	35	.	.	PUNCT
cana-396	31	1	pdes	pde	NOUN
cana-396	31	2	give	give	VERB
cana-396	31	3	significant	significant	ADJ
cana-396	31	4	bits	bit	NOUN
cana-396	31	5	of	of	ADP
cana-396	31	6	knowledge	knowledge	NOUN
cana-396	31	7	into	into	ADP
cana-396	31	8	the	the	DET
cana-396	31	9	complicated	complicated	ADJ
cana-396	31	10	parts	part	NOUN
cana-396	31	11	of	of	ADP
cana-396	31	12	fluid	fluid	ADJ
cana-396	31	13	structures	structure	NOUN
cana-396	31	14	,	,	PUNCT
cana-396	31	15	going	go	VERB
cana-396	31	16	from	from	ADP
cana-396	31	17	fluid	fluid	ADJ
cana-396	31	18	development	development	NOUN
cana-396	31	19	to	to	ADP
cana-396	31	20	warm	warm	ADJ
cana-396	31	21	trade	trade	NOUN
cana-396	31	22	and	and	CCONJ
cana-396	31	23	wave	wave	NOUN
cana-396	31	24	engendering	engendering	NOUN
cana-396	31	25	.	.	PUNCT
cana-396	32	1	this	this	PRON
cana-396	32	2	permits	permit	VERB
cana-396	32	3	experts	expert	NOUN
cana-396	32	4	and	and	CCONJ
cana-396	32	5	experts	expert	NOUN
cana-396	32	6	to	to	PART
cana-396	32	7	foster	foster	VERB
cana-396	32	8	more	more	ADV
cana-396	32	9	exact	exact	ADJ
cana-396	32	10	assumptions	assumption	NOUN
cana-396	32	11	and	and	CCONJ
cana-396	32	12	creative	creative	ADJ
cana-396	32	13	arrangements	arrangement	NOUN
cana-396	32	14	in	in	ADP
cana-396	32	15	various	various	ADJ
cana-396	32	16	fields	field	NOUN
cana-396	32	17	,	,	PUNCT
cana-396	32	18	including	include	VERB
cana-396	32	19	climate	climate	NOUN
cana-396	32	20	science	science	NOUN
cana-396	32	21	and	and	CCONJ
cana-396	32	22	flying	flying	NOUN
cana-396	32	23	plan	plan	NOUN
cana-396	32	24	.	.	PUNCT
cana-396	33	1	2	2	X
cana-396	33	2	.	.	X
cana-396	33	3	literature	literature	NOUN
cana-396	33	4	review	review	NOUN
cana-396	33	5	crafted	craft	VERB
cana-396	33	6	by	by	ADP
cana-396	33	7	chorin	chorin	NOUN
cana-396	33	8	and	and	CCONJ
cana-396	33	9	marsden	marsden	PROPN
cana-396	33	10	(	(	PUNCT
cana-396	33	11	2014	2014	NUM
cana-396	33	12	)	)	PUNCT
cana-396	33	13	gives	give	VERB
cana-396	33	14	a	a	DET
cana-396	33	15	complete	complete	ADJ
cana-396	33	16	prologue	prologue	NOUN
cana-396	33	17	to	to	ADP
cana-396	33	18	fluid	fluid	ADJ
cana-396	33	19	mechanics	mechanic	NOUN
cana-396	33	20	according	accord	VERB
cana-396	33	21	to	to	ADP
cana-396	33	22	a	a	DET
cana-396	33	23	mathematical	mathematical	ADJ
cana-396	33	24	perspective	perspective	NOUN
cana-396	33	25	.	.	PUNCT
cana-396	34	1	this	this	DET
cana-396	34	2	fundamental	fundamental	ADJ
cana-396	34	3	text	text	NOUN
cana-396	34	4	's	's	PART
cana-396	34	5	third	third	ADJ
cana-396	34	6	release	release	NOUN
cana-396	34	7	keeps	keep	VERB
cana-396	34	8	on	on	ADP
cana-396	34	9	being	be	AUX
cana-396	34	10	an	an	DET
cana-396	34	11	important	important	ADJ
cana-396	34	12	asset	asset	NOUN
cana-396	34	13	for	for	ADP
cana-396	34	14	the	the	DET
cana-396	34	15	two	two	NUM
cana-396	34	16	specialists	specialist	NOUN
cana-396	34	17	and	and	CCONJ
cana-396	34	18	understudies	understudy	VERB
cana-396	34	19	the	the	DET
cana-396	34	20	same	same	ADJ
cana-396	34	21	.	.	PUNCT
cana-396	35	1	the	the	DET
cana-396	35	2	creators	creator	NOUN
cana-396	35	3	give	give	VERB
cana-396	35	4	a	a	DET
cana-396	35	5	top	top	NOUN
cana-396	35	6	to	to	ADP
cana-396	35	7	bottom	bottom	ADJ
cana-396	35	8	investigation	investigation	NOUN
cana-396	35	9	of	of	ADP
cana-396	35	10	the	the	DET
cana-396	35	11	mathematical	mathematical	ADJ
cana-396	35	12	guideline	guideline	NOUN
cana-396	35	13	’s	’s	PART
cana-396	35	14	essential	essential	ADJ
cana-396	35	15	fluid	fluid	ADJ
cana-396	35	16	components	component	NOUN
cana-396	35	17	,	,	PUNCT
cana-396	35	18	including	include	VERB
cana-396	35	19	points	point	NOUN
cana-396	35	20	,	,	PUNCT
cana-396	35	21	for	for	ADP
cana-396	35	22	example	example	NOUN
cana-396	35	23	,	,	PUNCT
cana-396	35	24	security	security	NOUN
cana-396	35	25	rules	rule	NOUN
cana-396	35	26	,	,	PUNCT
cana-396	35	27	eulerian	eulerian	ADJ
cana-396	35	28	and	and	CCONJ
cana-396	35	29	lagrangian	lagrangian	ADJ
cana-396	35	30	portrayals	portrayal	NOUN
cana-396	35	31	of	of	ADP
cana-396	35	32	fluid	fluid	ADJ
cana-396	35	33	stream	stream	NOUN
cana-396	35	34	,	,	PUNCT
cana-396	35	35	and	and	CCONJ
cana-396	35	36	the	the	DET
cana-396	35	37	navier	navier	NOUN
cana-396	35	38	-	-	PUNCT
cana-396	35	39	works	work	VERB
cana-396	35	40	up	up	ADP
cana-396	35	41	equations	equation	NOUN
cana-396	35	42	.	.	PUNCT
cana-396	36	1	their	their	PRON
cana-396	36	2	methodology	methodology	NOUN
cana-396	36	3	eliminates	eliminate	VERB
cana-396	36	4	any	any	DET
cana-396	36	5	hindrances	hindrance	NOUN
cana-396	36	6	that	that	PRON
cana-396	36	7	substitute	substitute	VERB
cana-396	36	8	the	the	PRON
cana-396	36	9	between	between	ADP
cana-396	36	10	of	of	ADP
cana-396	36	11	speculative	speculative	ADJ
cana-396	36	12	exploration	exploration	NOUN
cana-396	36	13	and	and	CCONJ
cana-396	36	14	functional	functional	ADJ
cana-396	36	15	applications	application	NOUN
cana-396	36	16	,	,	PUNCT
cana-396	36	17	making	make	VERB
cana-396	36	18	it	it	PRON
cana-396	36	19	open	open	ADJ
cana-396	36	20	to	to	ADP
cana-396	36	21	a	a	DET
cana-396	36	22	huge	huge	ADJ
cana-396	36	23	crowd	crowd	NOUN
cana-396	36	24	.	.	PUNCT
cana-396	37	1	underlining	underline	VERB
cana-396	37	2	mathematical	mathematical	ADJ
cana-396	37	3	meticulousness	meticulousness	NOUN
cana-396	37	4	,	,	PUNCT
cana-396	37	5	chorin	chorin	NOUN
cana-396	37	6	and	and	CCONJ
cana-396	37	7	marsden	marsden	PROPN
cana-396	37	8	furnish	furnish	VERB
cana-396	37	9	perusers	peruser	NOUN
cana-396	37	10	with	with	ADP
cana-396	37	11	the	the	DET
cana-396	37	12	devices	device	NOUN
cana-396	37	13	important	important	ADJ
cana-396	37	14	to	to	PART
cana-396	37	15	handle	handle	VERB
cana-396	37	16	testing	testing	NOUN
cana-396	37	17	issues	issue	NOUN
cana-396	37	18	in	in	ADP
cana-396	37	19	fluid	fluid	ADJ
cana-396	37	20	mechanics	mechanic	NOUN
cana-396	37	21	.	.	PUNCT
cana-396	38	1	as	as	SCONJ
cana-396	38	2	indicated	indicate	VERB
cana-396	38	3	by	by	ADP
cana-396	38	4	chow	chow	PROPN
cana-396	38	5	(	(	PUNCT
cana-396	38	6	2014	2014	NUM
cana-396	38	7	)	)	PUNCT
cana-396	38	8	,	,	PUNCT
cana-396	38	9	stochastic	stochastic	ADJ
cana-396	38	10	partial	partial	ADJ
cana-396	38	11	differential	differential	NOUN
cana-396	38	12	equations	equation	NOUN
cana-396	38	13	(	(	PUNCT
cana-396	38	14	spdes	spde	NOUN
cana-396	38	15	)	)	PUNCT
cana-396	38	16	expand	expand	VERB
cana-396	38	17	the	the	DET
cana-396	38	18	structure	structure	NOUN
cana-396	38	19	of	of	ADP
cana-396	38	20	partial	partial	ADJ
cana-396	38	21	differential	differential	ADJ
cana-396	38	22	equations	equation	NOUN
cana-396	38	23	to	to	PART
cana-396	38	24	consolidate	consolidate	VERB
cana-396	38	25	inconsistent	inconsistent	ADJ
cana-396	38	26	changes	change	NOUN
cana-396	38	27	,	,	PUNCT
cana-396	38	28	which	which	PRON
cana-396	38	29	makes	make	VERB
cana-396	38	30	them	they	PRON
cana-396	38	31	especially	especially	ADV
cana-396	38	32	communications	communication	NOUN
cana-396	38	33	on	on	ADP
cana-396	38	34	applied	apply	VERB
cana-396	38	35	nonlinear	nonlinear	ADJ
cana-396	38	36	analysis	analysis	NOUN
cana-396	38	37	issn	issn	NOUN
cana-396	38	38	:	:	PUNCT
cana-396	38	39	1074	1074	NUM
cana-396	38	40	-	-	PUNCT
cana-396	38	41	133x	133x	NUM
cana-396	38	42	vol	vol	NOUN
cana-396	38	43	31	31	NUM
cana-396	38	44	no	no	NOUN
cana-396	38	45	.	.	NOUN
cana-396	38	46	1	1	NUM
cana-396	38	47	(	(	PUNCT
cana-396	38	48	2024	2024	NUM
cana-396	38	49	)	)	PUNCT
cana-396	38	50	209	209	NUM
cana-396	38	51	https://internationalpubls.com	https://internationalpubls.com	X
cana-396	38	52	valuable	valuable	ADJ
cana-396	38	53	for	for	ADP
cana-396	38	54	representing	represent	VERB
cana-396	38	55	inconsistencies	inconsistency	NOUN
cana-396	38	56	impacted	impact	VERB
cana-396	38	57	by	by	ADP
cana-396	38	58	unsettling	unsettling	ADJ
cana-396	38	59	influences	influence	NOUN
cana-396	38	60	or	or	CCONJ
cana-396	38	61	unpredictable	unpredictable	ADJ
cana-396	38	62	powers	power	NOUN
cana-396	38	63	.	.	PUNCT
cana-396	39	1	with	with	ADP
cana-396	39	2	specific	specific	ADJ
cana-396	39	3	consideration	consideration	NOUN
cana-396	39	4	regarding	regard	VERB
cana-396	39	5	the	the	DET
cana-396	39	6	two	two	NUM
cana-396	39	7	mathematicians	mathematician	NOUN
cana-396	39	8	and	and	CCONJ
cana-396	39	9	applied	applied	ADJ
cana-396	39	10	specialists	specialist	NOUN
cana-396	39	11	,	,	PUNCT
cana-396	39	12	chow	chow	PROPN
cana-396	39	13	's	's	PART
cana-396	39	14	book	book	NOUN
cana-396	39	15	gives	give	VERB
cana-396	39	16	a	a	DET
cana-396	39	17	smart	smart	ADJ
cana-396	39	18	prologue	prologue	NOUN
cana-396	39	19	to	to	ADP
cana-396	39	20	the	the	DET
cana-396	39	21	hypothesis	hypothesis	NOUN
cana-396	39	22	and	and	CCONJ
cana-396	39	23	utilizations	utilization	NOUN
cana-396	39	24	of	of	ADP
cana-396	39	25	spdes	spde	NOUN
cana-396	39	26	.	.	PUNCT
cana-396	40	1	he	he	PRON
cana-396	40	2	talks	talk	VERB
cana-396	40	3	about	about	ADP
cana-396	40	4	fundamental	fundamental	ADJ
cana-396	40	5	themes	theme	NOUN
cana-396	40	6	like	like	ADP
cana-396	40	7	presence	presence	NOUN
cana-396	40	8	and	and	CCONJ
cana-396	40	9	uniqueness	uniqueness	NOUN
cana-396	40	10	of	of	ADP
cana-396	40	11	game	game	NOUN
cana-396	40	12	plans	plan	NOUN
cana-396	40	13	,	,	PUNCT
cana-396	40	14	stochastic	stochastic	ADJ
cana-396	40	15	examination	examination	NOUN
cana-396	40	16	,	,	PUNCT
cana-396	40	17	and	and	CCONJ
cana-396	40	18	numerical	numerical	ADJ
cana-396	40	19	techniques	technique	NOUN
cana-396	40	20	for	for	ADP
cana-396	40	21	managing	manage	VERB
cana-396	40	22	spdes	spde	NOUN
cana-396	40	23	.	.	PUNCT
cana-396	41	1	chow	chow	PROPN
cana-396	41	2	gives	give	VERB
cana-396	41	3	experiences	experience	NOUN
cana-396	41	4	into	into	ADP
cana-396	41	5	the	the	DET
cana-396	41	6	way	way	NOUN
cana-396	41	7	of	of	ADP
cana-396	41	8	behaving	behave	VERB
cana-396	41	9	of	of	ADP
cana-396	41	10	mind	mind	NOUN
cana-396	41	11	-	-	PUNCT
cana-396	41	12	boggling	boggle	VERB
cana-396	41	13	systems	system	NOUN
cana-396	41	14	in	in	ADP
cana-396	41	15	fluid	fluid	ADJ
cana-396	41	16	mechanics	mechanic	NOUN
cana-396	41	17	and	and	CCONJ
cana-396	41	18	related	relate	VERB
cana-396	41	19	spaces	space	NOUN
cana-396	41	20	by	by	ADP
cana-396	41	21	analyzing	analyze	VERB
cana-396	41	22	the	the	DET
cana-396	41	23	cooperation	cooperation	NOUN
cana-396	41	24	among	among	ADP
cana-396	41	25	deterministic	deterministic	ADJ
cana-396	41	26	and	and	CCONJ
cana-396	41	27	arbitrary	arbitrary	ADJ
cana-396	41	28	perspectives	perspective	NOUN
cana-396	41	29	.	.	PUNCT
cana-396	42	1	the	the	DET
cana-396	42	2	navier	navier	NOUN
cana-396	42	3	-	-	PUNCT
cana-396	42	4	works	work	VERB
cana-396	42	5	up	up	ADP
cana-396	42	6	condition	condition	NOUN
cana-396	42	7	,	,	PUNCT
cana-396	42	8	which	which	PRON
cana-396	42	9	directs	direct	VERB
cana-396	42	10	the	the	DET
cana-396	42	11	progression	progression	NOUN
cana-396	42	12	of	of	ADP
cana-396	42	13	thick	thick	ADJ
cana-396	42	14	fluids	fluid	NOUN
cana-396	42	15	and	and	CCONJ
cana-396	42	16	becomes	become	VERB
cana-396	42	17	the	the	DET
cana-396	42	18	dominant	dominant	ADJ
cana-396	42	19	focal	focal	ADJ
cana-396	42	20	point	point	NOUN
cana-396	42	21	in	in	ADP
cana-396	42	22	fluid	fluid	ADJ
cana-396	42	23	components	component	NOUN
cana-396	42	24	,	,	PUNCT
cana-396	42	25	is	be	AUX
cana-396	42	26	the	the	DET
cana-396	42	27	express	express	ADJ
cana-396	42	28	focal	focal	ADJ
cana-396	42	29	point	point	NOUN
cana-396	42	30	of	of	ADP
cana-396	42	31	dobek	dobek	NOUN
cana-396	42	32	's	's	PART
cana-396	42	33	(	(	PUNCT
cana-396	42	34	2012	2012	NUM
cana-396	42	35	)	)	PUNCT
cana-396	42	36	text	text	NOUN
cana-396	42	37	.	.	PUNCT
cana-396	43	1	dobek	dobek	PROPN
cana-396	43	2	leads	lead	VERB
cana-396	43	3	perusers	peruser	NOUN
cana-396	43	4	through	through	ADP
cana-396	43	5	the	the	DET
cana-396	43	6	acceptance	acceptance	NOUN
cana-396	43	7	and	and	CCONJ
cana-396	43	8	examination	examination	NOUN
cana-396	43	9	of	of	ADP
cana-396	43	10	the	the	DET
cana-396	43	11	navier	navier	NOUN
cana-396	43	12	-	-	PUNCT
cana-396	43	13	works	work	VERB
cana-396	43	14	up	up	ADP
cana-396	43	15	condition	condition	NOUN
cana-396	43	16	,	,	PUNCT
cana-396	43	17	tending	tend	VERB
cana-396	43	18	to	to	ADP
cana-396	43	19	both	both	CCONJ
cana-396	43	20	hypothetical	hypothetical	ADJ
cana-396	43	21	perspectives	perspective	NOUN
cana-396	43	22	and	and	CCONJ
cana-396	43	23	certifiable	certifiable	ADJ
cana-396	43	24	applications	application	NOUN
cana-396	43	25	,	,	PUNCT
cana-396	43	26	with	with	ADP
cana-396	43	27	compact	compact	ADJ
cana-396	43	28	clarifications	clarification	NOUN
cana-396	43	29	and	and	CCONJ
cana-396	43	30	illustrative	illustrative	ADJ
cana-396	43	31	examples	example	NOUN
cana-396	43	32	.	.	PUNCT
cana-396	44	1	he	he	PRON
cana-396	44	2	takes	take	VERB
cana-396	44	3	a	a	DET
cana-396	44	4	gander	gander	NOUN
cana-396	44	5	at	at	ADP
cana-396	44	6	basic	basic	ADJ
cana-396	44	7	ideas	idea	NOUN
cana-396	44	8	like	like	ADP
cana-396	44	9	aggravation	aggravation	NOUN
cana-396	44	10	,	,	PUNCT
cana-396	44	11	reynolds	reynolds	PROPN
cana-396	44	12	number	number	PROPN
cana-396	44	13	,	,	PUNCT
cana-396	44	14	and	and	CCONJ
cana-396	44	15	the	the	DET
cana-396	44	16	cutoff	cutoff	NOUN
cana-396	44	17	layer	layer	NOUN
cana-396	44	18	hypothesis	hypothesis	NOUN
cana-396	44	19	,	,	PUNCT
cana-396	44	20	giving	give	VERB
cana-396	44	21	light	light	NOUN
cana-396	44	22	on	on	ADP
cana-396	44	23	the	the	DET
cana-396	44	24	characteristics	characteristic	NOUN
cana-396	44	25	that	that	PRON
cana-396	44	26	progress	progress	VERB
cana-396	44	27	from	from	ADP
cana-396	44	28	laminar	laminar	ADJ
cana-396	44	29	stream	stream	NOUN
cana-396	44	30	movement	movement	NOUN
cana-396	44	31	in	in	ADP
cana-396	44	32	lines	line	NOUN
cana-396	44	33	to	to	ADP
cana-396	44	34	violent	violent	ADJ
cana-396	44	35	fluid	fluid	ADJ
cana-396	44	36	development	development	NOUN
cana-396	44	37	.	.	PUNCT
cana-396	45	1	for	for	ADP
cana-396	45	2	experts	expert	NOUN
cana-396	45	3	and	and	CCONJ
cana-396	45	4	understudies	understudy	NOUN
cana-396	45	5	looking	look	VERB
cana-396	45	6	for	for	ADP
cana-396	45	7	a	a	DET
cana-396	45	8	more	more	ADV
cana-396	45	9	profound	profound	ADJ
cana-396	45	10	comprehension	comprehension	NOUN
cana-396	45	11	of	of	ADP
cana-396	45	12	the	the	DET
cana-396	45	13	navier	navier	NOUN
cana-396	45	14	-	-	PUNCT
cana-396	45	15	works	work	VERB
cana-396	45	16	up	up	ADP
cana-396	45	17	condition	condition	NOUN
cana-396	45	18	and	and	CCONJ
cana-396	45	19	its	its	PRON
cana-396	45	20	suggestions	suggestion	NOUN
cana-396	45	21	for	for	ADP
cana-396	45	22	fluid	fluid	ADJ
cana-396	45	23	mechanics	mechanic	NOUN
cana-396	45	24	,	,	PUNCT
cana-396	45	25	dobek	dobek	NOUN
cana-396	45	26	's	's	PART
cana-396	45	27	book	book	NOUN
cana-396	45	28	is	be	AUX
cana-396	45	29	an	an	DET
cana-396	45	30	important	important	ADJ
cana-396	45	31	asset	asset	NOUN
cana-396	45	32	.	.	PUNCT
cana-396	46	1	fefferman	fefferman	NOUN
cana-396	46	2	and	and	CCONJ
cana-396	46	3	partners	partner	NOUN
cana-396	46	4	,	,	PUNCT
cana-396	46	5	2018	2018	NUM
cana-396	46	6	this	this	DET
cana-396	46	7	volume	volume	NOUN
cana-396	46	8	,	,	PUNCT
cana-396	46	9	distributed	distribute	VERB
cana-396	46	10	by	by	ADP
cana-396	46	11	cambridge	cambridge	PROPN
cana-396	46	12	school	school	PROPN
cana-396	46	13	press	press	NOUN
cana-396	46	14	,	,	PUNCT
cana-396	46	15	fills	fill	VERB
cana-396	46	16	in	in	ADP
cana-396	46	17	as	as	ADP
cana-396	46	18	a	a	DET
cana-396	46	19	farreaching	farreache	VERB
cana-396	46	20	assortment	assortment	NOUN
cana-396	46	21	of	of	ADP
cana-396	46	22	logical	logical	ADJ
cana-396	46	23	and	and	CCONJ
cana-396	46	24	illustrative	illustrative	ADJ
cana-396	46	25	papers	paper	NOUN
cana-396	46	26	on	on	ADP
cana-396	46	27	the	the	DET
cana-396	46	28	capability	capability	NOUN
cana-396	46	29	of	of	ADP
cana-396	46	30	partial	partial	ADJ
cana-396	46	31	differential	differential	ADJ
cana-396	46	32	equations	equation	NOUN
cana-396	46	33	(	(	PUNCT
cana-396	46	34	pdes	pde	NOUN
cana-396	46	35	)	)	PUNCT
cana-396	46	36	in	in	ADP
cana-396	46	37	fluid	fluid	ADJ
cana-396	46	38	mechanics	mechanic	NOUN
cana-396	46	39	.	.	PUNCT
cana-396	47	1	this	this	DET
cana-396	47	2	book	book	NOUN
cana-396	47	3	,	,	PUNCT
cana-396	47	4	changed	change	VERB
cana-396	47	5	by	by	ADP
cana-396	47	6	fefferman	fefferman	PROPN
cana-396	47	7	,	,	PUNCT
cana-396	47	8	robinson	robinson	PROPN
cana-396	47	9	,	,	PUNCT
cana-396	47	10	diez	diez	PROPN
cana-396	47	11	,	,	PUNCT
cana-396	47	12	and	and	CCONJ
cana-396	47	13	rodrigo	rodrigo	PROPN
cana-396	47	14	,	,	PUNCT
cana-396	47	15	unites	unite	VERB
cana-396	47	16	vows	vow	NOUN
cana-396	47	17	from	from	ADP
cana-396	47	18	driving	drive	VERB
cana-396	47	19	specialists	specialist	NOUN
cana-396	47	20	in	in	ADP
cana-396	47	21	the	the	DET
cana-396	47	22	subject	subject	NOUN
cana-396	47	23	of	of	ADP
cana-396	47	24	driving	drive	VERB
cana-396	47	25	.	.	PUNCT
cana-396	48	1	various	various	ADJ
cana-396	48	2	themes	theme	NOUN
cana-396	48	3	are	be	AUX
cana-396	48	4	covered	cover	VERB
cana-396	48	5	,	,	PUNCT
cana-396	48	6	like	like	ADP
cana-396	48	7	applications	application	NOUN
cana-396	48	8	to	to	ADP
cana-396	48	9	geophysical	geophysical	ADJ
cana-396	48	10	fluid	fluid	ADJ
cana-396	48	11	components	component	NOUN
cana-396	48	12	,	,	PUNCT
cana-396	48	13	presence	presence	NOUN
cana-396	48	14	and	and	CCONJ
cana-396	48	15	consistency	consistency	NOUN
cana-396	48	16	of	of	ADP
cana-396	48	17	courses	course	NOUN
cana-396	48	18	of	of	ADP
cana-396	48	19	action	action	NOUN
cana-396	48	20	,	,	PUNCT
cana-396	48	21	unevenness	unevenness	NOUN
cana-396	48	22	show	show	NOUN
cana-396	48	23	,	,	PUNCT
cana-396	48	24	and	and	CCONJ
cana-396	48	25	mathematical	mathematical	ADJ
cana-396	48	26	investigation	investigation	NOUN
cana-396	48	27	of	of	ADP
cana-396	48	28	navier	navier	NOUN
cana-396	48	29	-	-	PUNCT
cana-396	48	30	works	work	VERB
cana-396	48	31	up	up	ADP
cana-396	48	32	equations	equation	NOUN
cana-396	48	33	.	.	PUNCT
cana-396	49	1	for	for	ADP
cana-396	49	2	researchers	researcher	NOUN
cana-396	49	3	and	and	CCONJ
cana-396	49	4	graduate	graduate	ADJ
cana-396	49	5	understudies	understudy	NOUN
cana-396	49	6	keen	keen	ADJ
cana-396	49	7	on	on	ADP
cana-396	49	8	flow	flow	NOUN
cana-396	49	9	issues	issue	NOUN
cana-396	49	10	in	in	ADP
cana-396	49	11	fluid	fluid	ADJ
cana-396	49	12	mechanics	mechanic	NOUN
cana-396	49	13	,	,	PUNCT
cana-396	49	14	this	this	DET
cana-396	49	15	volume	volume	NOUN
cana-396	49	16	gives	give	VERB
cana-396	49	17	significant	significant	ADJ
cana-396	49	18	encounters	encounter	NOUN
cana-396	49	19	through	through	ADP
cana-396	49	20	the	the	DET
cana-396	49	21	presentation	presentation	NOUN
cana-396	49	22	of	of	ADP
cana-396	49	23	a	a	DET
cana-396	49	24	mix	mix	NOUN
cana-396	49	25	of	of	ADP
cana-396	49	26	hypothetical	hypothetical	ADJ
cana-396	49	27	information	information	NOUN
cana-396	49	28	and	and	CCONJ
cana-396	49	29	conceivable	conceivable	ADJ
cana-396	49	30	applications	application	NOUN
cana-396	49	31	.	.	PUNCT
cana-396	50	1	fritz	fritz	PROPN
cana-396	50	2	john	john	PROPN
cana-396	50	3	's	's	PART
cana-396	50	4	(	(	PUNCT
cana-396	50	5	2011	2011	NUM
cana-396	50	6	)	)	PUNCT
cana-396	50	7	basic	basic	ADJ
cana-396	50	8	work	work	NOUN
cana-396	50	9	on	on	ADP
cana-396	50	10	partial	partial	ADJ
cana-396	50	11	differential	differential	ADJ
cana-396	50	12	equations	equation	NOUN
cana-396	50	13	gives	give	VERB
cana-396	50	14	a	a	DET
cana-396	50	15	thorough	thorough	ADJ
cana-396	50	16	investigation	investigation	NOUN
cana-396	50	17	of	of	ADP
cana-396	50	18	the	the	DET
cana-396	50	19	subject	subject	NOUN
cana-396	50	20	,	,	PUNCT
cana-396	50	21	underscoring	underscore	VERB
cana-396	50	22	both	both	CCONJ
cana-396	50	23	hypothetical	hypothetical	ADJ
cana-396	50	24	developments	development	NOUN
cana-396	50	25	and	and	CCONJ
cana-396	50	26	viable	viable	ADJ
cana-396	50	27	applications	application	NOUN
cana-396	50	28	.	.	PUNCT
cana-396	51	1	the	the	DET
cana-396	51	2	third	third	ADJ
cana-396	51	3	version	version	NOUN
cana-396	51	4	,	,	PUNCT
cana-396	51	5	distributed	distribute	VERB
cana-396	51	6	by	by	ADP
cana-396	51	7	springer	springer	NOUN
cana-396	51	8	-	-	PUNCT
cana-396	51	9	verlag	verlag	PROPN
cana-396	51	10	,	,	PUNCT
cana-396	51	11	mirrors	mirror	VERB
cana-396	51	12	the	the	DET
cana-396	51	13	creator	creator	NOUN
cana-396	51	14	's	's	PART
cana-396	51	15	broad	broad	ADJ
cana-396	51	16	exploration	exploration	NOUN
cana-396	51	17	and	and	CCONJ
cana-396	51	18	profound	profound	ADJ
cana-396	51	19	comprehension	comprehension	NOUN
cana-396	51	20	of	of	ADP
cana-396	51	21	the	the	DET
cana-396	51	22	subject	subject	NOUN
cana-396	51	23	.	.	PUNCT
cana-396	52	1	john	john	PROPN
cana-396	52	2	examines	examine	VERB
cana-396	52	3	fundamental	fundamental	ADJ
cana-396	52	4	ideas	idea	NOUN
cana-396	52	5	like	like	ADP
cana-396	52	6	as	as	ADP
cana-396	52	7	presence	presence	NOUN
cana-396	52	8	and	and	CCONJ
cana-396	52	9	uniqueness	uniqueness	NOUN
cana-396	52	10	theories	theory	NOUN
cana-396	52	11	,	,	PUNCT
cana-396	52	12	plan	plan	NOUN
cana-396	52	13	procedures	procedure	NOUN
cana-396	52	14	,	,	PUNCT
cana-396	52	15	and	and	CCONJ
cana-396	52	16	pde	pde	NOUN
cana-396	52	17	request	request	NOUN
cana-396	52	18	.	.	PUNCT
cana-396	53	1	albeit	albeit	SCONJ
cana-396	53	2	the	the	DET
cana-396	53	3	book	book	NOUN
cana-396	53	4	is	be	AUX
cana-396	53	5	n't	not	PART
cana-396	53	6	explicitly	explicitly	ADV
cana-396	53	7	customized	customize	VERB
cana-396	53	8	to	to	ADP
cana-396	53	9	fluid	fluid	ADJ
cana-396	53	10	mechanics	mechanic	NOUN
cana-396	53	11	,	,	PUNCT
cana-396	53	12	its	its	PRON
cana-396	53	13	broad	broad	ADJ
cana-396	53	14	investigation	investigation	NOUN
cana-396	53	15	of	of	ADP
cana-396	53	16	pde	pde	PROPN
cana-396	53	17	speculations	speculation	NOUN
cana-396	53	18	gives	give	VERB
cana-396	53	19	a	a	DET
cana-396	53	20	strong	strong	ADJ
cana-396	53	21	structure	structure	NOUN
cana-396	53	22	to	to	ADP
cana-396	53	23	interpreting	interpret	VERB
cana-396	53	24	the	the	DET
cana-396	53	25	mathematical	mathematical	ADJ
cana-396	53	26	principles	principle	NOUN
cana-396	53	27	covered	cover	VERB
cana-396	53	28	inside	inside	ADP
cana-396	53	29	fluid	fluid	ADJ
cana-396	53	30	components	component	NOUN
cana-396	53	31	.	.	PUNCT
cana-396	54	1	with	with	ADP
cana-396	54	2	its	its	PRON
cana-396	54	3	number	number	NOUN
cana-396	54	4	of	of	ADP
cana-396	54	5	models	model	NOUN
cana-396	54	6	and	and	CCONJ
cana-396	54	7	clearness	clearness	NOUN
cana-396	54	8	of	of	ADP
cana-396	54	9	show	show	NOUN
cana-396	54	10	,	,	PUNCT
cana-396	54	11	john	john	PROPN
cana-396	54	12	's	's	PART
cana-396	54	13	book	book	NOUN
cana-396	54	14	keeps	keep	VERB
cana-396	54	15	on	on	ADP
cana-396	54	16	being	be	AUX
cana-396	54	17	an	an	DET
cana-396	54	18	important	important	ADJ
cana-396	54	19	asset	asset	NOUN
cana-396	54	20	for	for	ADP
cana-396	54	21	experts	expert	NOUN
cana-396	54	22	and	and	CCONJ
cana-396	54	23	high	high	ADJ
cana-396	54	24	-	-	PUNCT
cana-396	54	25	level	level	NOUN
cana-396	54	26	understudies	understudy	NOUN
cana-396	54	27	concentrating	concentrate	VERB
cana-396	54	28	on	on	ADP
cana-396	54	29	applied	apply	VERB
cana-396	54	30	math	math	NOUN
cana-396	54	31	and	and	CCONJ
cana-396	54	32	plan	plan	NOUN
cana-396	54	33	.	.	PUNCT
cana-396	55	1	a	a	DET
cana-396	55	2	momentous	momentous	ADJ
cana-396	55	3	viewpoint	viewpoint	NOUN
cana-396	55	4	on	on	ADP
cana-396	55	5	the	the	DET
cana-396	55	6	job	job	NOUN
cana-396	55	7	of	of	ADP
cana-396	55	8	pdes	pde	NOUN
cana-396	55	9	in	in	ADP
cana-396	55	10	physics	physics	NOUN
cana-396	55	11	,	,	PUNCT
cana-396	55	12	with	with	ADP
cana-396	55	13	specific	specific	ADJ
cana-396	55	14	materialness	materialness	NOUN
cana-396	55	15	to	to	ADP
cana-396	55	16	fluid	fluid	ADJ
cana-396	55	17	components	component	NOUN
cana-396	55	18	,	,	PUNCT
cana-396	55	19	is	be	AUX
cana-396	55	20	given	give	VERB
cana-396	55	21	by	by	ADP
cana-396	55	22	robert	robert	PROPN
cana-396	55	23	geroch	geroch	PROPN
cana-396	55	24	(	(	PUNCT
cana-396	55	25	2017	2017	NUM
cana-396	55	26	)	)	PUNCT
cana-396	55	27	.	.	PUNCT
cana-396	56	1	this	this	DET
cana-396	56	2	segment	segment	NOUN
cana-396	56	3	gives	give	VERB
cana-396	56	4	a	a	DET
cana-396	56	5	succinct	succinct	ADJ
cana-396	56	6	outline	outline	NOUN
cana-396	56	7	of	of	ADP
cana-396	56	8	the	the	DET
cana-396	56	9	mathematical	mathematical	ADJ
cana-396	56	10	procedures	procedure	NOUN
cana-396	56	11	used	use	VERB
cana-396	56	12	to	to	PART
cana-396	56	13	show	show	VERB
cana-396	56	14	the	the	DET
cana-396	56	15	genuine	genuine	ADJ
cana-396	56	16	peculiarities	peculiarity	NOUN
cana-396	56	17	addressed	address	VERB
cana-396	56	18	by	by	ADP
cana-396	56	19	pdes	pde	NOUN
cana-396	56	20	,	,	PUNCT
cana-396	56	21	drawing	draw	VERB
cana-396	56	22	from	from	ADP
cana-396	56	23	a	a	DET
cana-396	56	24	portion	portion	NOUN
cana-396	56	25	of	of	ADP
cana-396	56	26	his	his	PRON
cana-396	56	27	more	more	ADV
cana-396	56	28	careful	careful	ADJ
cana-396	56	29	work	work	NOUN
cana-396	56	30	on	on	ADP
cana-396	56	31	wide	wide	ADJ
cana-396	56	32	relativity	relativity	NOUN
cana-396	56	33	.	.	PUNCT
cana-396	57	1	geroch	geroch	PROPN
cana-396	57	2	investigates	investigate	VERB
cana-396	57	3	basic	basic	ADJ
cana-396	57	4	ideas	idea	NOUN
cana-396	57	5	like	like	ADP
cana-396	57	6	as	as	ADP
cana-396	57	7	wave	wave	NOUN
cana-396	57	8	equations	equation	NOUN
cana-396	57	9	,	,	PUNCT
cana-396	57	10	dissemination	dissemination	NOUN
cana-396	57	11	equations	equation	NOUN
cana-396	57	12	,	,	PUNCT
cana-396	57	13	and	and	CCONJ
cana-396	57	14	the	the	DET
cana-396	57	15	laplace	laplace	NOUN
cana-396	57	16	condition	condition	NOUN
cana-396	57	17	,	,	PUNCT
cana-396	57	18	accentuating	accentuate	VERB
cana-396	57	19	their	their	PRON
cana-396	57	20	importance	importance	NOUN
cana-396	57	21	to	to	ADP
cana-396	57	22	fluid	fluid	ADJ
cana-396	57	23	mechanics	mechanic	NOUN
cana-396	57	24	comparable	comparable	ADJ
cana-396	57	25	to	to	ADP
cana-396	57	26	different	different	ADJ
cana-396	57	27	parts	part	NOUN
cana-396	57	28	of	of	ADP
cana-396	57	29	physics	physics	PROPN
cana-396	57	30	.	.	PUNCT
cana-396	58	1	geroch	geroch	PROPN
cana-396	58	2	's	's	PART
cana-396	58	3	work	work	NOUN
cana-396	58	4	gives	give	VERB
cana-396	58	5	a	a	DET
cana-396	58	6	more	more	ADV
cana-396	58	7	profound	profound	ADJ
cana-396	58	8	comprehension	comprehension	NOUN
cana-396	58	9	of	of	ADP
cana-396	58	10	the	the	DET
cana-396	58	11	meaning	meaning	NOUN
cana-396	58	12	of	of	ADP
cana-396	58	13	stowed	stow	VERB
cana-396	58	14	away	away	ADP
cana-396	58	15	guidelines	guideline	NOUN
cana-396	58	16	and	and	CCONJ
cana-396	58	17	numerical	numerical	ADJ
cana-396	58	18	interpretations	interpretation	NOUN
cana-396	58	19	of	of	ADP
cana-396	58	20	pdes	pde	NOUN
cana-396	58	21	in	in	ADP
cana-396	58	22	representing	represent	VERB
cana-396	58	23	and	and	CCONJ
cana-396	58	24	grasping	grasp	VERB
cana-396	58	25	the	the	DET
cana-396	58	26	way	way	NOUN
cana-396	58	27	of	of	ADP
cana-396	58	28	behaving	behave	VERB
cana-396	58	29	of	of	ADP
cana-396	58	30	genuine	genuine	ADJ
cana-396	58	31	structures	structure	NOUN
cana-396	58	32	.	.	PUNCT
cana-396	59	1	communications	communication	NOUN
cana-396	59	2	on	on	ADP
cana-396	59	3	applied	apply	VERB
cana-396	59	4	nonlinear	nonlinear	ADJ
cana-396	59	5	analysis	analysis	NOUN
cana-396	59	6	issn	issn	NOUN
cana-396	59	7	:	:	PUNCT
cana-396	59	8	1074	1074	NUM
cana-396	59	9	-	-	PUNCT
cana-396	59	10	133x	133x	NUM
cana-396	59	11	vol	vol	NOUN
cana-396	59	12	31	31	NUM
cana-396	59	13	no	no	NOUN
cana-396	59	14	.	.	NOUN
cana-396	59	15	1	1	NUM
cana-396	59	16	(	(	PUNCT
cana-396	59	17	2024	2024	NUM
cana-396	59	18	)	)	PUNCT
cana-396	59	19	210	210	NUM
cana-396	59	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-396	59	21	3	3	X
cana-396	59	22	.	.	PUNCT
cana-396	59	23	partial	partial	ADJ
cana-396	59	24	differential	differential	ADJ
cana-396	59	25	equations	equation	NOUN
cana-396	59	26	an	an	DET
cana-396	59	27	equation	equation	NOUN
cana-396	59	28	that	that	PRON
cana-396	59	29	records	record	VERB
cana-396	59	30	a	a	DET
cana-396	59	31	capacity	capacity	NOUN
cana-396	59	32	among	among	ADP
cana-396	59	33	different	different	ADJ
cana-396	59	34	partial	partial	ADJ
cana-396	59	35	subordinates	subordinate	NOUN
cana-396	59	36	of	of	ADP
cana-396	59	37	a	a	DET
cana-396	59	38	multivariable	multivariable	ADJ
cana-396	59	39	ability	ability	NOUN
cana-396	59	40	is	be	AUX
cana-396	59	41	known	know	VERB
cana-396	59	42	as	as	ADP
cana-396	59	43	a	a	DET
cana-396	59	44	partial	partial	ADJ
cana-396	59	45	differential	differential	NOUN
cana-396	59	46	equation	equation	NOUN
cana-396	59	47	(	(	PUNCT
cana-396	59	48	pde	pde	NOUN
cana-396	59	49	)	)	PUNCT
cana-396	59	50	in	in	ADP
cana-396	59	51	math	math	NOUN
cana-396	59	52	.	.	PUNCT
cana-396	60	1	ordinarily	ordinarily	ADV
cana-396	60	2	,	,	PUNCT
cana-396	60	3	the	the	DET
cana-396	60	4	capacity	capacity	NOUN
cana-396	60	5	is	be	AUX
cana-396	60	6	seen	see	VERB
cana-396	60	7	as	as	ADP
cana-396	60	8	"	"	PUNCT
cana-396	60	9	dark	dark	ADJ
cana-396	60	10	"	"	PUNCT
cana-396	60	11	and	and	CCONJ
cana-396	60	12	ought	ought	AUX
cana-396	60	13	to	to	PART
cana-396	60	14	be	be	AUX
cana-396	60	15	agreed	agree	VERB
cana-396	60	16	to	to	ADP
cana-396	60	17	,	,	PUNCT
cana-396	60	18	very	very	ADV
cana-396	60	19	much	much	ADV
cana-396	60	20	like	like	INTJ
cana-396	60	21	x	x	PRON
cana-396	60	22	is	be	AUX
cana-396	60	23	seen	see	VERB
cana-396	60	24	as	as	ADP
cana-396	60	25	a	a	DET
cana-396	60	26	dark	dark	ADJ
cana-396	60	27	number	number	NOUN
cana-396	60	28	and	and	CCONJ
cana-396	60	29	ought	ought	AUX
cana-396	60	30	to	to	PART
cana-396	60	31	be	be	AUX
cana-396	60	32	tended	tend	VERB
cana-396	60	33	to	to	ADP
cana-396	60	34	in	in	ADP
cana-396	60	35	numerical	numerical	ADJ
cana-396	60	36	equations	equation	NOUN
cana-396	60	37	like	like	ADP
cana-396	60	38	x2	x2	INTJ
cana-396	61	1	−	−	PROPN
cana-396	62	1	3x	3x	NUM
cana-396	62	2	+	+	CCONJ
cana-396	62	3	2	2	NUM
cana-396	62	4	=	=	SYM
cana-396	62	5	0	0	NUM
cana-396	62	6	.	.	PUNCT
cana-396	63	1	also	also	ADV
cana-396	63	2	,	,	PUNCT
cana-396	63	3	recording	record	VERB
cana-396	63	4	express	express	ADJ
cana-396	63	5	formulae	formulae	NOUN
cana-396	63	6	for	for	ADP
cana-396	63	7	partial	partial	ADJ
cana-396	63	8	differential	differential	NOUN
cana-396	63	9	equation	equation	NOUN
cana-396	63	10	configurations	configuration	NOUN
cana-396	63	11	is	be	AUX
cana-396	63	12	normally	normally	ADV
cana-396	63	13	impractical	impractical	ADJ
cana-396	63	14	.	.	PUNCT
cana-396	64	1	subsequently	subsequently	ADV
cana-396	64	2	,	,	PUNCT
cana-396	64	3	a	a	DET
cana-396	64	4	lot	lot	NOUN
cana-396	64	5	of	of	ADP
cana-396	64	6	late	late	ADJ
cana-396	64	7	exploration	exploration	NOUN
cana-396	64	8	has	have	AUX
cana-396	64	9	zeroed	zero	VERB
cana-396	64	10	in	in	ADP
cana-396	64	11	on	on	ADP
cana-396	64	12	utilizing	utilize	VERB
cana-396	64	13	pcs	pc	NOUN
cana-396	64	14	to	to	PART
cana-396	64	15	tackle	tackle	VERB
cana-396	64	16	numerically	numerically	ADV
cana-396	64	17	uncertain	uncertain	ADJ
cana-396	64	18	answers	answer	NOUN
cana-396	64	19	for	for	ADP
cana-396	64	20	specific	specific	ADJ
cana-396	64	21	partial	partial	ADJ
cana-396	64	22	differential	differential	NOUN
cana-396	64	23	equations	equation	NOUN
cana-396	64	24	.	.	PUNCT
cana-396	65	1	furthermore	furthermore	ADV
cana-396	65	2	,	,	PUNCT
cana-396	65	3	partial	partial	ADJ
cana-396	65	4	differential	differential	NOUN
cana-396	65	5	equations	equation	NOUN
cana-396	65	6	have	have	VERB
cana-396	65	7	an	an	DET
cana-396	65	8	immense	immense	ADJ
cana-396	65	9	field	field	NOUN
cana-396	65	10	of	of	ADP
cana-396	65	11	unadulterated	unadulterated	ADJ
cana-396	65	12	mathematical	mathematical	ADJ
cana-396	65	13	examination	examination	NOUN
cana-396	65	14	.	.	PUNCT
cana-396	66	1	these	these	DET
cana-396	66	2	kinds	kind	NOUN
cana-396	66	3	of	of	ADP
cana-396	66	4	inquiries	inquiry	NOUN
cana-396	66	5	,	,	PUNCT
cana-396	66	6	by	by	ADP
cana-396	66	7	and	and	CCONJ
cana-396	66	8	large	large	ADJ
cana-396	66	9	,	,	PUNCT
cana-396	66	10	include	include	VERB
cana-396	66	11	distinguishing	distinguish	VERB
cana-396	66	12	and	and	CCONJ
cana-396	66	13	checking	check	VERB
cana-396	66	14	general	general	ADJ
cana-396	66	15	emotional	emotional	ADJ
cana-396	66	16	attributes	attribute	NOUN
cana-396	66	17	of	of	ADP
cana-396	66	18	plans	plan	NOUN
cana-396	66	19	of	of	ADP
cana-396	66	20	different	different	ADJ
cana-396	66	21	partial	partial	ADJ
cana-396	66	22	differential	differential	NOUN
cana-396	66	23	equations	equation	NOUN
cana-396	66	24	,	,	PUNCT
cana-396	66	25	like	like	ADP
cana-396	66	26	presence	presence	NOUN
cana-396	66	27	,	,	PUNCT
cana-396	66	28	uniqueness	uniqueness	NOUN
cana-396	66	29	,	,	PUNCT
cana-396	66	30	consistency	consistency	NOUN
cana-396	66	31	,	,	PUNCT
cana-396	66	32	and	and	CCONJ
cana-396	66	33	security	security	NOUN
cana-396	66	34	.	.	PUNCT
cana-396	67	1	the	the	DET
cana-396	67	2	presence	presence	NOUN
cana-396	67	3	and	and	CCONJ
cana-396	67	4	culmination	culmination	NOUN
cana-396	67	5	of	of	ADP
cana-396	67	6	answers	answer	NOUN
cana-396	67	7	for	for	ADP
cana-396	67	8	the	the	DET
cana-396	67	9	navier	navier	NOUN
cana-396	67	10	-	-	PUNCT
cana-396	67	11	works	work	VERB
cana-396	67	12	up	up	ADP
cana-396	67	13	equations	equation	NOUN
cana-396	67	14	,	,	PUNCT
cana-396	67	15	which	which	PRON
cana-396	67	16	were	be	AUX
cana-396	67	17	recorded	record	VERB
cana-396	67	18	as	as	ADP
cana-396	67	19	one	one	NUM
cana-396	67	20	of	of	ADP
cana-396	67	21	the	the	DET
cana-396	67	22	2000	2000	NUM
cana-396	67	23	thousand	thousand	NUM
cana-396	67	24	years	year	NOUN
cana-396	67	25	prize	prize	NOUN
cana-396	67	26	issues	issue	NOUN
cana-396	67	27	,	,	PUNCT
cana-396	67	28	are	be	AUX
cana-396	67	29	among	among	ADP
cana-396	67	30	the	the	DET
cana-396	67	31	various	various	ADJ
cana-396	67	32	unanswered	unanswered	ADJ
cana-396	67	33	inquiries	inquiry	NOUN
cana-396	67	34	.	.	PUNCT
cana-396	68	1	in	in	ADP
cana-396	68	2	sensible	sensible	ADJ
cana-396	68	3	spaces	space	NOUN
cana-396	68	4	that	that	PRON
cana-396	68	5	are	be	AUX
cana-396	68	6	mathematically	mathematically	ADV
cana-396	68	7	positioned	position	VERB
cana-396	68	8	,	,	PUNCT
cana-396	68	9	for	for	ADP
cana-396	68	10	example	example	NOUN
cana-396	68	11	,	,	PUNCT
cana-396	68	12	plan	plan	NOUN
cana-396	68	13	and	and	CCONJ
cana-396	68	14	physics	physics	NOUN
cana-396	68	15	,	,	PUNCT
cana-396	68	16	partial	partial	ADJ
cana-396	68	17	differential	differential	NOUN
cana-396	68	18	equations	equation	NOUN
cana-396	68	19	are	be	AUX
cana-396	68	20	omnipresent	omnipresent	ADJ
cana-396	68	21	.	.	PUNCT
cana-396	69	1	for	for	ADP
cana-396	69	2	example	example	NOUN
cana-396	69	3	,	,	PUNCT
cana-396	69	4	they	they	PRON
cana-396	69	5	are	be	AUX
cana-396	69	6	urgent	urgent	ADJ
cana-396	69	7	to	to	ADP
cana-396	69	8	the	the	DET
cana-396	69	9	most	most	ADV
cana-396	69	10	progressive	progressive	ADJ
cana-396	69	11	intelligent	intelligent	ADJ
cana-396	69	12	comprehension	comprehension	NOUN
cana-396	69	13	of	of	ADP
cana-396	69	14	general	general	ADJ
cana-396	69	15	relativity	relativity	NOUN
cana-396	69	16	,	,	PUNCT
cana-396	69	17	quantum	quantum	ADJ
cana-396	69	18	mechanics	mechanic	NOUN
cana-396	69	19	(	(	PUNCT
cana-396	69	20	schrödinger	schrödinger	ADJ
cana-396	69	21	equation	equation	NOUN
cana-396	69	22	,	,	PUNCT
cana-396	69	23	pauli	pauli	PROPN
cana-396	69	24	equation	equation	NOUN
cana-396	69	25	,	,	PUNCT
cana-396	69	26	and	and	CCONJ
cana-396	69	27	so	so	ADV
cana-396	69	28	on	on	ADV
cana-396	69	29	)	)	PUNCT
cana-396	69	30	,	,	PUNCT
cana-396	69	31	sound	sound	ADJ
cana-396	69	32	,	,	PUNCT
cana-396	69	33	heat	heat	NOUN
cana-396	69	34	,	,	PUNCT
cana-396	69	35	scattering	scattering	NOUN
cana-396	69	36	,	,	PUNCT
cana-396	69	37	electrostatics	electrostatic	NOUN
cana-396	69	38	,	,	PUNCT
cana-396	69	39	electrodynamics	electrodynamic	NOUN
cana-396	69	40	,	,	PUNCT
cana-396	69	41	thermodynamics	thermodynamic	NOUN
cana-396	69	42	,	,	PUNCT
cana-396	69	43	fluid	fluid	ADJ
cana-396	69	44	components	component	NOUN
cana-396	69	45	,	,	PUNCT
cana-396	69	46	and	and	CCONJ
cana-396	69	47	versatility	versatility	NOUN
cana-396	69	48	.	.	PUNCT
cana-396	70	1	they	they	PRON
cana-396	70	2	likewise	likewise	ADV
cana-396	70	3	emerge	emerge	VERB
cana-396	70	4	from	from	ADP
cana-396	70	5	numerous	numerous	ADJ
cana-396	70	6	just	just	ADJ
cana-396	70	7	mathematical	mathematical	ADJ
cana-396	70	8	reflections	reflection	NOUN
cana-396	70	9	,	,	PUNCT
cana-396	70	10	for	for	ADP
cana-396	70	11	example	example	NOUN
cana-396	70	12	,	,	PUNCT
cana-396	70	13	the	the	DET
cana-396	70	14	examination	examination	NOUN
cana-396	70	15	of	of	ADP
cana-396	70	16	assortments	assortment	NOUN
cana-396	70	17	and	and	CCONJ
cana-396	70	18	differential	differential	ADJ
cana-396	70	19	calculation	calculation	NOUN
cana-396	70	20	;	;	PUNCT
cana-396	70	21	among	among	ADP
cana-396	70	22	other	other	ADJ
cana-396	70	23	eminent	eminent	ADJ
cana-396	70	24	purposes	purpose	NOUN
cana-396	70	25	,	,	PUNCT
cana-396	70	26	they	they	PRON
cana-396	70	27	are	be	AUX
cana-396	70	28	the	the	DET
cana-396	70	29	essential	essential	ADJ
cana-396	70	30	apparatus	apparatus	NOUN
cana-396	70	31	in	in	ADP
cana-396	70	32	the	the	DET
cana-396	70	33	approval	approval	NOUN
cana-396	70	34	of	of	ADP
cana-396	70	35	the	the	DET
cana-396	70	36	poincaré	poincaré	PROPN
cana-396	70	37	guess	guess	VERB
cana-396	70	38	from	from	ADP
cana-396	70	39	numerical	numerical	ADJ
cana-396	70	40	geology	geology	NOUN
cana-396	70	41	.	.	PUNCT
cana-396	71	1	there	there	PRON
cana-396	71	2	are	be	VERB
cana-396	71	3	numerous	numerous	ADJ
cana-396	71	4	unmistakable	unmistakable	ADJ
cana-396	71	5	kinds	kind	NOUN
cana-396	71	6	of	of	ADP
cana-396	71	7	partial	partial	ADJ
cana-396	71	8	differential	differential	NOUN
cana-396	71	9	equations	equation	NOUN
cana-396	71	10	,	,	PUNCT
cana-396	71	11	to	to	ADP
cana-396	71	12	a	a	DET
cana-396	71	13	limited	limited	ADJ
cana-396	71	14	extent	extent	NOUN
cana-396	71	15	because	because	SCONJ
cana-396	71	16	of	of	ADP
cana-396	71	17	the	the	DET
cana-396	71	18	range	range	NOUN
cana-396	71	19	of	of	ADP
cana-396	71	20	sources	source	NOUN
cana-396	71	21	,	,	PUNCT
cana-396	71	22	and	and	CCONJ
cana-396	71	23	strategies	strategy	NOUN
cana-396	71	24	have	have	AUX
cana-396	71	25	been	be	AUX
cana-396	71	26	produced	produce	VERB
cana-396	71	27	for	for	ADP
cana-396	71	28	taking	take	VERB
cana-396	71	29	care	care	NOUN
cana-396	71	30	of	of	ADP
cana-396	71	31	a	a	DET
cana-396	71	32	sizable	sizable	ADJ
cana-396	71	33	number	number	NOUN
cana-396	71	34	of	of	ADP
cana-396	71	35	the	the	DET
cana-396	71	36	solitary	solitary	ADJ
cana-396	71	37	equations	equation	NOUN
cana-396	71	38	that	that	PRON
cana-396	71	39	emerge	emerge	VERB
cana-396	71	40	.	.	PUNCT
cana-396	72	1	subsequently	subsequently	ADV
cana-396	72	2	,	,	PUNCT
cana-396	72	3	it	it	PRON
cana-396	72	4	is	be	AUX
cana-396	72	5	by	by	ADP
cana-396	72	6	and	and	CCONJ
cana-396	72	7	large	large	ADJ
cana-396	72	8	recognized	recognize	VERB
cana-396	72	9	that	that	SCONJ
cana-396	72	10	there	there	PRON
cana-396	72	11	is	be	VERB
cana-396	72	12	no	no	DET
cana-396	72	13	"	"	PUNCT
cana-396	72	14	general	general	ADJ
cana-396	72	15	theory	theory	NOUN
cana-396	72	16	"	"	PUNCT
cana-396	72	17	in	in	ADP
cana-396	72	18	regards	regard	NOUN
cana-396	72	19	to	to	ADP
cana-396	72	20	partial	partial	ADJ
cana-396	72	21	differential	differential	NOUN
cana-396	72	22	equations	equation	NOUN
cana-396	72	23	,	,	PUNCT
cana-396	72	24	and	and	CCONJ
cana-396	72	25	that	that	DET
cana-396	72	26	master	master	NOUN
cana-396	72	27	information	information	NOUN
cana-396	72	28	is	be	AUX
cana-396	72	29	rather	rather	ADV
cana-396	72	30	fundamentally	fundamentally	ADV
cana-396	72	31	gathered	gather	VERB
cana-396	72	32	in	in	ADP
cana-396	72	33	few	few	ADJ
cana-396	72	34	quite	quite	ADV
cana-396	72	35	certain	certain	ADJ
cana-396	72	36	subfields	subfield	NOUN
cana-396	72	37	.	.	PUNCT
cana-396	73	1	contrasting	contrast	VERB
cana-396	73	2	with	with	ADP
cana-396	73	3	parts	part	NOUN
cana-396	73	4	of	of	ADP
cana-396	73	5	a	a	DET
cana-396	73	6	solitary	solitary	ADJ
cana-396	73	7	variable	variable	NOUN
cana-396	73	8	,	,	PUNCT
cana-396	73	9	customary	customary	ADJ
cana-396	73	10	differential	differential	ADJ
cana-396	73	11	equations	equation	NOUN
cana-396	73	12	structure	structure	VERB
cana-396	73	13	a	a	DET
cana-396	73	14	subtype	subtype	NOUN
cana-396	73	15	of	of	ADP
cana-396	73	16	partial	partial	ADJ
cana-396	73	17	differential	differential	ADJ
cana-396	73	18	equations	equation	NOUN
cana-396	73	19	.	.	PUNCT
cana-396	74	1	starting	start	VERB
cana-396	74	2	around	around	ADP
cana-396	74	3	2020	2020	NUM
cana-396	74	4	,	,	PUNCT
cana-396	74	5	the	the	DET
cana-396	74	6	focal	focal	ADJ
cana-396	74	7	point	point	NOUN
cana-396	74	8	of	of	ADP
cana-396	74	9	stochastic	stochastic	ADJ
cana-396	74	10	partial	partial	ADJ
cana-396	74	11	differential	differential	ADJ
cana-396	74	12	equations	equation	NOUN
cana-396	74	13	and	and	CCONJ
cana-396	74	14	nonlocal	nonlocal	ADJ
cana-396	74	15	equations	equation	NOUN
cana-396	74	16	has	have	AUX
cana-396	74	17	been	be	AUX
cana-396	74	18	for	for	ADP
cana-396	74	19	the	the	DET
cana-396	74	20	most	most	ADJ
cana-396	74	21	part	part	NOUN
cana-396	74	22	on	on	ADP
cana-396	74	23	expansions	expansion	NOUN
cana-396	74	24	of	of	ADP
cana-396	74	25	the	the	DET
cana-396	74	26	idea	idea	NOUN
cana-396	74	27	of	of	ADP
cana-396	74	28	the	the	DET
cana-396	74	29	"	"	PUNCT
cana-396	74	30	pde	pde	NOUN
cana-396	74	31	"	"	PUNCT
cana-396	74	32	.	.	PUNCT
cana-396	75	1	boltzmann	boltzmann	PROPN
cana-396	75	2	equations	equation	NOUN
cana-396	75	3	,	,	PUNCT
cana-396	75	4	fluid	fluid	ADJ
cana-396	75	5	mechanics	mechanic	NOUN
cana-396	75	6	,	,	PUNCT
cana-396	75	7	elliptic	elliptic	ADJ
cana-396	75	8	and	and	CCONJ
cana-396	75	9	informative	informative	ADJ
cana-396	75	10	partial	partial	ADJ
cana-396	75	11	differential	differential	NOUN
cana-396	75	12	equations	equation	NOUN
cana-396	75	13	,	,	PUNCT
cana-396	75	14	and	and	CCONJ
cana-396	75	15	dispersive	dispersive	ADJ
cana-396	75	16	partial	partial	ADJ
cana-396	75	17	differential	differential	NOUN
cana-396	75	18	equations	equation	NOUN
cana-396	75	19	are	be	AUX
cana-396	75	20	a	a	DET
cana-396	75	21	portion	portion	NOUN
cana-396	75	22	of	of	ADP
cana-396	75	23	the	the	DET
cana-396	75	24	more	more	ADV
cana-396	75	25	customary	customary	ADJ
cana-396	75	26	subjects	subject	NOUN
cana-396	75	27	that	that	PRON
cana-396	75	28	actually	actually	ADV
cana-396	75	29	get	get	VERB
cana-396	75	30	a	a	DET
cana-396	75	31	lot	lot	NOUN
cana-396	75	32	of	of	ADP
cana-396	75	33	dynamic	dynamic	ADJ
cana-396	75	34	investigation	investigation	NOUN
cana-396	75	35	.	.	PUNCT
cana-396	76	1	a.	a.	NOUN
cana-396	76	2	partial	partial	ADJ
cana-396	76	3	differential	differential	NOUN
cana-396	76	4	equation	equation	NOUN
cana-396	76	5	definition	definition	NOUN
cana-396	76	6	a	a	DET
cana-396	76	7	differential	differential	ADJ
cana-396	76	8	equation	equation	NOUN
cana-396	76	9	including	include	VERB
cana-396	76	10	partial	partial	ADJ
cana-396	76	11	subordinates	subordinate	NOUN
cana-396	76	12	of	of	ADP
cana-396	76	13	the	the	DET
cana-396	76	14	reliant	reliant	ADJ
cana-396	76	15	variable	variable	NOUN
cana-396	76	16	(	(	PUNCT
cana-396	76	17	no	no	ADV
cana-396	76	18	less	less	ADJ
cana-396	76	19	than	than	ADP
cana-396	76	20	one	one	NUM
cana-396	76	21	)	)	PUNCT
cana-396	76	22	and	and	CCONJ
cana-396	76	23	many	many	ADJ
cana-396	76	24	free	free	ADJ
cana-396	76	25	factors	factor	NOUN
cana-396	76	26	is	be	AUX
cana-396	76	27	known	know	VERB
cana-396	76	28	as	as	ADP
cana-396	76	29	a	a	DET
cana-396	76	30	partial	partial	ADJ
cana-396	76	31	differential	differential	NOUN
cana-396	76	32	equation	equation	NOUN
cana-396	76	33	,	,	PUNCT
cana-396	76	34	or	or	CCONJ
cana-396	76	35	pde	pde	NOUN
cana-396	76	36	.	.	PUNCT
cana-396	77	1	an	an	DET
cana-396	77	2	equation	equation	NOUN
cana-396	77	3	of	of	ADP
cana-396	77	4	the	the	DET
cana-396	77	5	design	design	NOUN
cana-396	77	6	for	for	ADP
cana-396	77	7	a	a	DET
cana-396	77	8	capacity	capacity	NOUN
cana-396	77	9	u	u	NOUN
cana-396	77	10	(	(	PUNCT
cana-396	77	11	x1	x1	PROPN
cana-396	77	12	,	,	PUNCT
cana-396	77	13	...	...	PUNCT
cana-396	77	14	,	,	PUNCT
cana-396	77	15	xn	xn	X
cana-396	77	16	)	)	PUNCT
cana-396	77	17	is	be	AUX
cana-396	77	18	known	know	VERB
cana-396	77	19	as	as	ADP
cana-396	77	20	a	a	DET
cana-396	77	21	pde	pde	NOUN
cana-396	77	22	.	.	PUNCT
cana-396	78	1	𝒇	𝒇	X
cana-396	78	2	(	(	PUNCT
cana-396	78	3	𝒙𝟏	𝒙𝟏	NOUN
cana-396	78	4	,	,	PUNCT
cana-396	78	5	.	.	PUNCT
cana-396	78	6	.	.	PUNCT
cana-396	79	1	.	.	PUNCT
cana-396	80	1	,	,	PUNCT
cana-396	80	2	𝒙𝒏	𝒙𝒏	NOUN
cana-396	80	3	:	:	PUNCT
cana-396	80	4	𝓾	𝓾	PROPN
cana-396	80	5	,	,	PUNCT
cana-396	80	6	𝝏𝒖	𝝏𝒖	PROPN
cana-396	80	7	𝝏𝒙𝟏	𝝏𝒙𝟏	PROPN
cana-396	80	8	,	,	PUNCT
cana-396	80	9	.	.	PUNCT
cana-396	80	10	.	.	PUNCT
cana-396	80	11	.	.	PUNCT
cana-396	81	1	.	.	PUNCT
cana-396	82	1	,	,	PUNCT
cana-396	82	2	𝝏𝒖	𝝏𝒖	X
cana-396	82	3	𝝏𝒙𝒏	𝝏𝒙𝒏	NUM
cana-396	82	4	;	;	PUNCT
cana-396	82	5	𝝏𝟐𝒖	𝝏𝟐𝒖	PROPN
cana-396	82	6	𝝏𝒙𝟏𝝏𝒙𝟏	𝝏𝒙𝟏𝝏𝒙𝟏	PROPN
cana-396	82	7	,	,	PUNCT
cana-396	82	8	.	.	PUNCT
cana-396	82	9	.	.	PUNCT
cana-396	82	10	.	.	PUNCT
cana-396	82	11	.	.	PUNCT
cana-396	83	1	.	.	PUNCT
cana-396	84	1	,	,	PUNCT
cana-396	84	2	𝝏𝟐𝒖	𝝏𝟐𝒖	PROPN
cana-396	84	3	𝝏𝒙𝟏𝝏𝒙𝒏	𝝏𝒙𝟏𝝏𝒙𝒏	PUNCT
cana-396	84	4	;	;	PUNCT
cana-396	84	5	.	.	PUNCT
cana-396	84	6	.	.	PUNCT
cana-396	84	7	.	.	PUNCT
cana-396	85	1	.	.	PUNCT
cana-396	86	1	,	,	PUNCT
cana-396	86	2	)	)	PUNCT
cana-396	86	3	=	=	SYM
cana-396	86	4	𝟎	𝟎	X
cana-396	86	5	(	(	PUNCT
cana-396	86	6	𝟏	𝟏	X
cana-396	86	7	)	)	PUNCT
cana-396	86	8	in	in	ADP
cana-396	86	9	the	the	DET
cana-396	86	10	impossible	impossible	ADJ
cana-396	86	11	occasion	occasion	NOUN
cana-396	86	12	that	that	SCONJ
cana-396	86	13	f	f	PROPN
cana-396	86	14	is	be	AUX
cana-396	86	15	a	a	DET
cana-396	86	16	straight	straight	ADJ
cana-396	86	17	capacity	capacity	NOUN
cana-396	86	18	of	of	ADP
cana-396	86	19	u	u	NOUN
cana-396	86	20	and	and	CCONJ
cana-396	86	21	its	its	PRON
cana-396	86	22	auxiliaries	auxiliary	NOUN
cana-396	86	23	,	,	PUNCT
cana-396	86	24	the	the	DET
cana-396	86	25	pde	pde	NOUN
cana-396	86	26	is	be	AUX
cana-396	86	27	intended	intend	VERB
cana-396	86	28	honestly	honestly	ADV
cana-396	86	29	.	.	PUNCT
cana-396	87	1	the	the	DET
cana-396	87	2	basic	basic	ADJ
cana-396	87	3	pde	pde	NOUN
cana-396	87	4	is	be	AUX
cana-396	87	5	given	give	VERB
cana-396	87	6	by	by	ADP
cana-396	87	7	;	;	PUNCT
cana-396	87	8	communications	communication	NOUN
cana-396	87	9	on	on	ADP
cana-396	87	10	applied	apply	VERB
cana-396	87	11	nonlinear	nonlinear	ADJ
cana-396	87	12	analysis	analysis	NOUN
cana-396	87	13	issn	issn	NOUN
cana-396	87	14	:	:	PUNCT
cana-396	87	15	1074	1074	NUM
cana-396	87	16	-	-	PUNCT
cana-396	87	17	133x	133x	NUM
cana-396	87	18	vol	vol	NOUN
cana-396	87	19	31	31	NUM
cana-396	87	20	no	no	NOUN
cana-396	87	21	.	.	NOUN
cana-396	87	22	1	1	NUM
cana-396	87	23	(	(	PUNCT
cana-396	87	24	2024	2024	NUM
cana-396	87	25	)	)	PUNCT
cana-396	88	1	211	211	NUM
cana-396	88	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-396	88	3	𝝏𝒖/𝝏𝒙(𝒙	𝝏𝒖/𝝏𝒙(𝒙	PROPN
cana-396	88	4	,	,	PUNCT
cana-396	88	5	𝒚	𝒚	NOUN
cana-396	88	6	)	)	PUNCT
cana-396	88	7	=	=	SYM
cana-396	88	8	𝟎	𝟎	X
cana-396	88	9	(	(	PUNCT
cana-396	88	10	𝟐	𝟐	NUM
cana-396	88	11	)	)	PUNCT
cana-396	88	12	the	the	DET
cana-396	88	13	relationship	relationship	NOUN
cana-396	88	14	displayed	display	VERB
cana-396	88	15	above	above	ADV
cana-396	88	16	proposes	propose	VERB
cana-396	88	17	that	that	SCONJ
cana-396	88	18	the	the	DET
cana-396	88	19	ability	ability	NOUN
cana-396	88	20	u(x	u(x	VERB
cana-396	88	21	,	,	PUNCT
cana-396	88	22	y	y	NOUN
cana-396	88	23	)	)	PUNCT
cana-396	88	24	is	be	AUX
cana-396	88	25	autonomous	autonomous	ADJ
cana-396	88	26	of	of	ADP
cana-396	88	27	x	x	X
cana-396	88	28	,	,	PUNCT
cana-396	88	29	which	which	PRON
cana-396	88	30	is	be	AUX
cana-396	88	31	the	the	DET
cana-396	88	32	recently	recently	ADV
cana-396	88	33	expressed	express	VERB
cana-396	88	34	diminished	diminished	ADJ
cana-396	88	35	type	type	NOUN
cana-396	88	36	partial	partial	ADJ
cana-396	88	37	differential	differential	NOUN
cana-396	88	38	equation	equation	NOUN
cana-396	88	39	recipe	recipe	NOUN
cana-396	88	40	.	.	PUNCT
cana-396	89	1	the	the	DET
cana-396	89	2	solicitation	solicitation	NOUN
cana-396	89	3	for	for	ADP
cana-396	89	4	pde	pde	NOUN
cana-396	89	5	is	be	AUX
cana-396	89	6	the	the	DET
cana-396	89	7	solicitation	solicitation	NOUN
cana-396	89	8	for	for	ADP
cana-396	89	9	the	the	DET
cana-396	89	10	equation	equation	NOUN
cana-396	89	11	's	's	PART
cana-396	89	12	most	most	ADV
cana-396	89	13	elevated	elevated	ADJ
cana-396	89	14	positioning	positioning	NOUN
cana-396	89	15	auxiliary	auxiliary	ADJ
cana-396	89	16	term	term	NOUN
cana-396	89	17	.	.	PUNCT
cana-396	90	1	4	4	X
cana-396	90	2	.	.	X
cana-396	90	3	partial	partial	ADJ
cana-396	90	4	differential	differential	NOUN
cana-396	90	5	equation	equation	NOUN
cana-396	90	6	types	type	VERB
cana-396	90	7	partial	partial	ADJ
cana-396	90	8	differential	differential	NOUN
cana-396	90	9	equations	equation	NOUN
cana-396	90	10	come	come	VERB
cana-396	90	11	in	in	ADP
cana-396	90	12	the	the	DET
cana-396	90	13	accompanying	accompany	VERB
cana-396	90	14	various	various	ADJ
cana-396	90	15	sorts	sort	NOUN
cana-396	90	16	:	:	PUNCT
cana-396	90	17	•	•	NUM
cana-396	90	18	partial	partial	ADJ
cana-396	90	19	differential	differential	ADJ
cana-396	90	20	equation	equation	NOUN
cana-396	90	21	of	of	ADP
cana-396	90	22	first	first	ADJ
cana-396	90	23	request	request	NOUN
cana-396	90	24	•	•	ADP
cana-396	90	25	partial	partial	ADJ
cana-396	90	26	differential	differential	NOUN
cana-396	90	27	equation	equation	NOUN
cana-396	90	28	in	in	ADP
cana-396	90	29	direct	direct	ADJ
cana-396	90	30	structure	structure	NOUN
cana-396	90	31	•	•	ADP
cana-396	90	32	partial	partial	ADJ
cana-396	90	33	differential	differential	NOUN
cana-396	90	34	equation	equation	NOUN
cana-396	90	35	that	that	PRON
cana-396	90	36	is	be	AUX
cana-396	90	37	semi	semi	ADV
cana-396	90	38	direct	direct	ADJ
cana-396	90	39	•	•	CCONJ
cana-396	90	40	partial	partial	ADJ
cana-396	90	41	differential	differential	NOUN
cana-396	90	42	equation	equation	NOUN
cana-396	90	43	for	for	ADP
cana-396	90	44	homogeneous	homogeneous	ADJ
cana-396	90	45	presently	presently	ADV
cana-396	90	46	we	we	PRON
cana-396	90	47	should	should	AUX
cana-396	90	48	discuss	discuss	VERB
cana-396	90	49	these	these	DET
cana-396	90	50	sorts	sort	NOUN
cana-396	90	51	of	of	ADP
cana-396	90	52	pdes	pde	NOUN
cana-396	90	53	.	.	PUNCT
cana-396	91	1	a.	a.	NOUN
cana-396	91	2	first	first	ADJ
cana-396	91	3	-	-	PUNCT
cana-396	91	4	order	order	NOUN
cana-396	91	5	partial	partial	ADJ
cana-396	91	6	differential	differential	NOUN
cana-396	91	7	equation	equation	NOUN
cana-396	91	8	while	while	SCONJ
cana-396	91	9	examining	examine	VERB
cana-396	91	10	the	the	DET
cana-396	91	11	first	first	ADJ
cana-396	91	12	-	-	PUNCT
cana-396	91	13	demand	demand	NOUN
cana-396	91	14	partial	partial	ADJ
cana-396	91	15	differential	differential	NOUN
cana-396	91	16	equation	equation	NOUN
cana-396	91	17	in	in	ADP
cana-396	91	18	arithmetic	arithmetic	ADJ
cana-396	91	19	,	,	PUNCT
cana-396	91	20	the	the	DET
cana-396	91	21	equation	equation	NOUN
cana-396	91	22	by	by	ADP
cana-396	91	23	then	then	ADV
cana-396	91	24	just	just	ADV
cana-396	91	25	has	have	VERB
cana-396	91	26	the	the	DET
cana-396	91	27	significant	significant	ADJ
cana-396	91	28	auxiliary	auxiliary	NOUN
cana-396	91	29	of	of	ADP
cana-396	91	30	the	the	DET
cana-396	91	31	mysterious	mysterious	ADJ
cana-396	91	32	capacity	capacity	NOUN
cana-396	91	33	with'm	with'm	NOUN
cana-396	91	34	'	'	PART
cana-396	91	35	components	component	NOUN
cana-396	91	36	.	.	PUNCT
cana-396	92	1	it	it	PRON
cana-396	92	2	is	be	AUX
cana-396	92	3	communicated	communicate	VERB
cana-396	92	4	as	as	ADP
cana-396	92	5	;	;	PUNCT
cana-396	92	6	𝑭(𝒙𝟏	𝑭(𝒙𝟏	PROPN
cana-396	92	7	,	,	PUNCT
cana-396	92	8	.	.	PUNCT
cana-396	92	9	.	.	PUNCT
cana-396	93	1	.	.	PUNCT
cana-396	94	1	,	,	PUNCT
cana-396	94	2	𝒙𝒎	𝒙𝒎	NOUN
cana-396	94	3	,	,	PUNCT
cana-396	94	4	𝒖	𝒖	X
cana-396	94	5	,	,	PUNCT
cana-396	94	6	𝒖𝒙𝟏	𝒖𝒙𝟏	NOUN
cana-396	94	7	,	,	PUNCT
cana-396	94	8	.	.	PUNCT
cana-396	94	9	.	.	PUNCT
cana-396	95	1	.	.	PUNCT
cana-396	96	1	,	,	PUNCT
cana-396	96	2	𝒖𝒙𝒎	𝒖𝒙𝒎	NOUN
cana-396	96	3	)	)	PUNCT
cana-396	96	4	=	=	SYM
cana-396	96	5	𝟎	𝟎	X
cana-396	96	6	(	(	PUNCT
cana-396	96	7	𝟑	𝟑	X
cana-396	96	8	)	)	PUNCT
cana-396	96	9	b.	b.	NOUN
cana-396	96	10	linear	linear	PROPN
cana-396	96	11	partial	partial	ADJ
cana-396	96	12	differential	differential	NOUN
cana-396	96	13	equation	equation	NOUN
cana-396	96	14	all	all	DET
cana-396	96	15	a	a	DET
cana-396	96	16	pde	pde	NOUN
cana-396	96	17	is	be	AUX
cana-396	96	18	alluded	allude	VERB
cana-396	96	19	to	to	ADP
cana-396	96	20	as	as	ADP
cana-396	96	21	straight	straight	ADJ
cana-396	96	22	pde	pde	NOUN
cana-396	96	23	on	on	ADP
cana-396	96	24	the	the	DET
cana-396	96	25	off	off	ADJ
cana-396	96	26	chance	chance	NOUN
cana-396	96	27	that	that	SCONJ
cana-396	96	28	the	the	DET
cana-396	96	29	reliant	reliant	ADJ
cana-396	96	30	variable	variable	NOUN
cana-396	96	31	and	and	CCONJ
cana-396	96	32	its	its	PRON
cana-396	96	33	partial	partial	ADJ
cana-396	96	34	subsidiaries	subsidiary	NOUN
cana-396	96	35	happen	happen	VERB
cana-396	96	36	straightforwardly	straightforwardly	ADV
cana-396	96	37	in	in	ADP
cana-396	96	38	the	the	DET
cana-396	96	39	equation	equation	NOUN
cana-396	96	40	;	;	PUNCT
cana-396	96	41	in	in	ADP
cana-396	96	42	any	any	DET
cana-396	96	43	case	case	NOUN
cana-396	96	44	,	,	PUNCT
cana-396	96	45	it	it	PRON
cana-396	96	46	is	be	AUX
cana-396	96	47	alluded	allude	VERB
cana-396	96	48	to	to	ADP
cana-396	96	49	as	as	ADP
cana-396	96	50	a	a	DET
cana-396	96	51	nonlinear	nonlinear	ADJ
cana-396	96	52	pde	pde	NOUN
cana-396	96	53	.	.	PUNCT
cana-396	97	1	while	while	SCONJ
cana-396	97	2	models	model	NOUN
cana-396	97	3	(	(	PUNCT
cana-396	97	4	3	3	NUM
cana-396	97	5	)	)	PUNCT
cana-396	97	6	and	and	CCONJ
cana-396	97	7	(	(	PUNCT
cana-396	97	8	4	4	X
cana-396	97	9	)	)	PUNCT
cana-396	97	10	are	be	AUX
cana-396	97	11	planned	plan	VERB
cana-396	97	12	to	to	PART
cana-396	97	13	be	be	AUX
cana-396	97	14	non	non	ADJ
cana-396	97	15	-	-	ADJ
cana-396	97	16	direct	direct	ADJ
cana-396	97	17	equations	equation	NOUN
cana-396	97	18	,	,	PUNCT
cana-396	97	19	models	model	NOUN
cana-396	97	20	(	(	PUNCT
cana-396	97	21	1	1	NUM
cana-396	97	22	)	)	PUNCT
cana-396	97	23	and	and	CCONJ
cana-396	97	24	(	(	PUNCT
cana-396	97	25	2	2	X
cana-396	97	26	)	)	PUNCT
cana-396	97	27	in	in	ADP
cana-396	97	28	the	the	DET
cana-396	97	29	past	past	ADJ
cana-396	97	30	example	example	NOUN
cana-396	97	31	are	be	AUX
cana-396	97	32	intended	intend	VERB
cana-396	97	33	to	to	PART
cana-396	97	34	be	be	AUX
cana-396	97	35	straight	straight	ADJ
cana-396	97	36	equations	equation	NOUN
cana-396	97	37	.	.	PUNCT
cana-396	98	1	c.	c.	PROPN
cana-396	98	2	quasi	quasi	ADJ
cana-396	98	3	-	-	ADJ
cana-396	98	4	linear	linear	ADJ
cana-396	98	5	partial	partial	ADJ
cana-396	98	6	differential	differential	NOUN
cana-396	98	7	equation	equation	NOUN
cana-396	98	8	a	a	DET
cana-396	98	9	partial	partial	ADJ
cana-396	98	10	differential	differential	NOUN
cana-396	98	11	equation	equation	NOUN
cana-396	98	12	(	(	PUNCT
cana-396	98	13	pde	pde	NOUN
cana-396	98	14	)	)	PUNCT
cana-396	98	15	is	be	AUX
cana-396	98	16	viewed	view	VERB
cana-396	98	17	as	as	ADP
cana-396	98	18	semi	semi	ADJ
cana-396	98	19	-	-	ADJ
cana-396	98	20	straight	straight	ADJ
cana-396	98	21	assuming	assume	VERB
cana-396	98	22	all	all	DET
cana-396	98	23	terms	term	NOUN
cana-396	98	24	with	with	ADP
cana-396	98	25	the	the	DET
cana-396	98	26	most	most	ADV
cana-396	98	27	elevated	elevated	ADJ
cana-396	98	28	demand	demand	NOUN
cana-396	98	29	subordinates	subordinate	NOUN
cana-396	98	30	of	of	ADP
cana-396	98	31	the	the	DET
cana-396	98	32	ward	ward	NOUN
cana-396	98	33	factors	factor	NOUN
cana-396	98	34	happen	happen	VERB
cana-396	98	35	straightforwardly	straightforwardly	ADV
cana-396	98	36	,	,	PUNCT
cana-396	98	37	implying	imply	VERB
cana-396	98	38	that	that	SCONJ
cana-396	98	39	the	the	DET
cana-396	98	40	coefficient	coefficient	NOUN
cana-396	98	41	of	of	ADP
cana-396	98	42	such	such	ADJ
cana-396	98	43	terms	term	NOUN
cana-396	98	44	is	be	AUX
cana-396	98	45	a	a	DET
cana-396	98	46	part	part	NOUN
cana-396	98	47	of	of	ADP
cana-396	98	48	just	just	ADV
cana-396	98	49	lower	low	ADJ
cana-396	98	50	-	-	PUNCT
cana-396	98	51	demand	demand	NOUN
cana-396	98	52	auxiliaries	auxiliary	NOUN
cana-396	98	53	of	of	ADP
cana-396	98	54	the	the	DET
cana-396	98	55	reliant	reliant	ADJ
cana-396	98	56	variables	variable	NOUN
cana-396	98	57	.	.	PUNCT
cana-396	99	1	terms	term	NOUN
cana-396	99	2	with	with	ADP
cana-396	99	3	subordinates	subordinate	NOUN
cana-396	99	4	who	who	PRON
cana-396	99	5	have	have	VERB
cana-396	99	6	lower	low	ADJ
cana-396	99	7	solicitations	solicitation	NOUN
cana-396	99	8	could	could	AUX
cana-396	99	9	happen	happen	VERB
cana-396	99	10	in	in	ADP
cana-396	99	11	any	any	DET
cana-396	99	12	way	way	NOUN
cana-396	99	13	,	,	PUNCT
cana-396	99	14	in	in	ADP
cana-396	99	15	any	any	DET
cana-396	99	16	case	case	NOUN
cana-396	99	17	.	.	PUNCT
cana-396	100	1	in	in	ADP
cana-396	100	2	the	the	DET
cana-396	100	3	rundown	rundown	NOUN
cana-396	100	4	above	above	ADP
cana-396	100	5	,	,	PUNCT
cana-396	100	6	model	model	NOUN
cana-396	100	7	(	(	PUNCT
cana-396	100	8	3	3	NUM
cana-396	100	9	)	)	PUNCT
cana-396	100	10	is	be	AUX
cana-396	100	11	a	a	DET
cana-396	100	12	semi	semi	ADJ
cana-396	100	13	-	-	ADJ
cana-396	100	14	straight	straight	ADJ
cana-396	100	15	equation	equation	NOUN
cana-396	100	16	.	.	PUNCT
cana-396	101	1	d.	d.	PROPN
cana-396	101	2	homogeneous	homogeneous	ADJ
cana-396	101	3	partial	partial	ADJ
cana-396	101	4	differential	differential	NOUN
cana-396	101	5	equation	equation	NOUN
cana-396	101	6	a	a	DET
cana-396	101	7	partial	partial	ADJ
cana-396	101	8	differential	differential	NOUN
cana-396	101	9	equation	equation	NOUN
cana-396	101	10	is	be	AUX
cana-396	101	11	alluded	allude	VERB
cana-396	101	12	to	to	ADP
cana-396	101	13	as	as	ADP
cana-396	101	14	non	non	ADJ
cana-396	101	15	-	-	ADJ
cana-396	101	16	homogeneous	homogeneous	ADJ
cana-396	101	17	or	or	CCONJ
cana-396	101	18	homogeneous	homogeneous	ADJ
cana-396	101	19	in	in	ADP
cana-396	101	20	the	the	DET
cana-396	101	21	event	event	NOUN
cana-396	101	22	that	that	PRON
cana-396	101	23	every	every	DET
cana-396	101	24	one	one	NUM
cana-396	101	25	of	of	ADP
cana-396	101	26	its	its	PRON
cana-396	101	27	arrangements	arrangement	NOUN
cana-396	101	28	contains	contain	VERB
cana-396	101	29	the	the	DET
cana-396	101	30	reliant	reliant	ADJ
cana-396	101	31	variable	variable	NOUN
cana-396	101	32	or	or	CCONJ
cana-396	101	33	any	any	PRON
cana-396	101	34	of	of	ADP
cana-396	101	35	its	its	PRON
cana-396	101	36	partial	partial	ADJ
cana-396	101	37	subordinates	subordinate	NOUN
cana-396	101	38	.	.	PUNCT
cana-396	102	1	case	case	NOUN
cana-396	102	2	4	4	NUM
cana-396	102	3	is	be	AUX
cana-396	102	4	the	the	DET
cana-396	102	5	non	non	ADJ
cana-396	102	6	-	-	ADJ
cana-396	102	7	homogeneous	homogeneous	ADJ
cana-396	102	8	case	case	NOUN
cana-396	102	9	among	among	ADP
cana-396	102	10	the	the	DET
cana-396	102	11	four	four	NUM
cana-396	102	12	occasions	occasion	NOUN
cana-396	102	13	,	,	PUNCT
cana-396	102	14	regardless	regardless	ADV
cana-396	102	15	of	of	ADP
cana-396	102	16	whether	whether	SCONJ
cana-396	102	17	the	the	DET
cana-396	102	18	initial	initial	ADJ
cana-396	102	19	three	three	NUM
cana-396	102	20	equations	equation	NOUN
cana-396	102	21	are	be	AUX
cana-396	102	22	.	.	PUNCT
cana-396	103	1	5	5	X
cana-396	103	2	.	.	X
cana-396	103	3	fluid	fluid	ADJ
cana-396	103	4	flow	flow	NOUN
cana-396	103	5	modeling	model	VERB
cana-396	103	6	a	a	DET
cana-396	103	7	key	key	ADJ
cana-396	103	8	component	component	NOUN
cana-396	103	9	of	of	ADP
cana-396	103	10	fluid	fluid	ADJ
cana-396	103	11	physics	physics	NOUN
cana-396	103	12	is	be	AUX
cana-396	103	13	fluid	fluid	ADJ
cana-396	103	14	flow	flow	NOUN
cana-396	103	15	display	display	NOUN
cana-396	103	16	,	,	PUNCT
cana-396	103	17	which	which	PRON
cana-396	103	18	uses	use	VERB
cana-396	103	19	partial	partial	ADJ
cana-396	103	20	differential	differential	ADJ
cana-396	103	21	equations	equation	NOUN
cana-396	103	22	(	(	PUNCT
cana-396	103	23	pdes	pde	NOUN
cana-396	103	24	)	)	PUNCT
cana-396	103	25	to	to	PART
cana-396	103	26	predict	predict	VERB
cana-396	103	27	and	and	CCONJ
cana-396	103	28	illustrate	illustrate	VERB
cana-396	103	29	how	how	SCONJ
cana-396	103	30	fluids	fluid	NOUN
cana-396	103	31	will	will	AUX
cana-396	103	32	behave	behave	VERB
cana-396	103	33	in	in	ADP
cana-396	103	34	various	various	ADJ
cana-396	103	35	scenarios	scenario	NOUN
cana-396	103	36	.	.	PUNCT
cana-396	104	1	these	these	DET
cana-396	104	2	formulas	formula	NOUN
cana-396	104	3	,	,	PUNCT
cana-396	104	4	which	which	PRON
cana-396	104	5	derive	derive	VERB
cana-396	104	6	from	from	ADP
cana-396	104	7	fundamental	fundamental	ADJ
cana-396	104	8	physical	physical	ADJ
cana-396	104	9	principles	principle	NOUN
cana-396	104	10	such	such	ADJ
cana-396	104	11	as	as	ADP
cana-396	104	12	the	the	DET
cana-396	104	13	conservation	conservation	NOUN
cana-396	104	14	of	of	ADP
cana-396	104	15	mass	mass	ADJ
cana-396	104	16	,	,	PUNCT
cana-396	104	17	force	force	NOUN
cana-396	104	18	,	,	PUNCT
cana-396	104	19	and	and	CCONJ
cana-396	104	20	energy	energy	NOUN
cana-396	104	21	,	,	PUNCT
cana-396	104	22	enable	enable	VERB
cana-396	104	23	scientists	scientist	NOUN
cana-396	104	24	and	and	CCONJ
cana-396	104	25	builders	builder	NOUN
cana-396	104	26	to	to	PART
cana-396	104	27	understand	understand	VERB
cana-396	104	28	the	the	DET
cana-396	104	29	long	long	ADJ
cana-396	104	30	-	-	PUNCT
cana-396	104	31	term	term	NOUN
cana-396	104	32	and	and	CCONJ
cana-396	104	33	spatial	spatial	ADJ
cana-396	104	34	variations	variation	NOUN
cana-396	104	35	in	in	ADP
cana-396	104	36	fluid	fluid	ADJ
cana-396	104	37	attributes	attribute	NOUN
cana-396	104	38	such	such	ADJ
cana-396	104	39	communications	communication	NOUN
cana-396	104	40	on	on	ADP
cana-396	104	41	applied	apply	VERB
cana-396	104	42	nonlinear	nonlinear	ADJ
cana-396	104	43	analysis	analysis	NOUN
cana-396	104	44	issn	issn	NOUN
cana-396	104	45	:	:	PUNCT
cana-396	104	46	1074	1074	NUM
cana-396	104	47	-	-	PUNCT
cana-396	104	48	133x	133x	NUM
cana-396	104	49	vol	vol	NOUN
cana-396	104	50	31	31	NUM
cana-396	104	51	no	no	NOUN
cana-396	104	52	.	.	NOUN
cana-396	104	53	1	1	NUM
cana-396	104	54	(	(	PUNCT
cana-396	104	55	2024	2024	NUM
cana-396	104	56	)	)	PUNCT
cana-396	104	57	212	212	NUM
cana-396	104	58	https://internationalpubls.com	https://internationalpubls.com	X
cana-396	104	59	as	as	ADP
cana-396	104	60	thickness	thickness	NOUN
cana-396	104	61	,	,	PUNCT
cana-396	104	62	speed	speed	NOUN
cana-396	104	63	,	,	PUNCT
cana-396	104	64	and	and	CCONJ
cana-396	104	65	tension	tension	NOUN
cana-396	104	66	.	.	PUNCT
cana-396	105	1	the	the	DET
cana-396	105	2	navier	navier	NOUN
cana-396	105	3	-	-	PUNCT
cana-396	105	4	stirs	stir	VERB
cana-396	105	5	up	up	ADP
cana-396	105	6	equations	equation	NOUN
cana-396	105	7	are	be	AUX
cana-396	105	8	among	among	ADP
cana-396	105	9	the	the	DET
cana-396	105	10	most	most	ADV
cana-396	105	11	widely	widely	ADV
cana-396	105	12	used	use	VERB
cana-396	105	13	pdes	pde	NOUN
cana-396	105	14	in	in	ADP
cana-396	105	15	fluid	fluid	ADJ
cana-396	105	16	elements	element	NOUN
cana-396	105	17	because	because	SCONJ
cana-396	105	18	they	they	PRON
cana-396	105	19	are	be	AUX
cana-396	105	20	particularly	particularly	ADV
cana-396	105	21	good	good	ADJ
cana-396	105	22	at	at	ADP
cana-396	105	23	capturing	capture	VERB
cana-396	105	24	the	the	DET
cana-396	105	25	flow	flow	NOUN
cana-396	105	26	of	of	ADP
cana-396	105	27	thick	thick	ADJ
cana-396	105	28	fluids	fluid	NOUN
cana-396	105	29	.	.	PUNCT
cana-396	106	1	by	by	ADP
cana-396	106	2	means	mean	NOUN
cana-396	106	3	of	of	ADP
cana-396	106	4	mathematical	mathematical	ADJ
cana-396	106	5	techniques	technique	NOUN
cana-396	106	6	such	such	ADJ
cana-396	106	7	as	as	ADP
cana-396	106	8	limited	limited	ADJ
cana-396	106	9	distinction	distinction	NOUN
cana-396	106	10	,	,	PUNCT
cana-396	106	11	limited	limited	ADJ
cana-396	106	12	component	component	NOUN
cana-396	106	13	,	,	PUNCT
cana-396	106	14	or	or	CCONJ
cana-396	106	15	restricted	restrict	VERB
cana-396	106	16	volume	volume	NOUN
cana-396	106	17	techniques	technique	NOUN
cana-396	106	18	,	,	PUNCT
cana-396	106	19	these	these	DET
cana-396	106	20	equations	equation	NOUN
cana-396	106	21	can	can	AUX
cana-396	106	22	be	be	AUX
cana-396	106	23	solved	solve	VERB
cana-396	106	24	computationally	computationally	ADV
cana-396	106	25	in	in	ADP
cana-396	106	26	order	order	NOUN
cana-396	106	27	to	to	PART
cana-396	106	28	replicate	replicate	VERB
cana-396	106	29	and	and	CCONJ
cana-396	106	30	investigate	investigate	VERB
cana-396	106	31	intricate	intricate	ADJ
cana-396	106	32	fluid	fluid	ADJ
cana-396	106	33	stream	stream	NOUN
cana-396	106	34	anomalies	anomaly	NOUN
cana-396	106	35	in	in	ADP
cana-396	106	36	a	a	DET
cana-396	106	37	variety	variety	NOUN
cana-396	106	38	of	of	ADP
cana-396	106	39	settings	setting	NOUN
cana-396	106	40	.	.	PUNCT
cana-396	107	1	fluid	fluid	ADJ
cana-396	107	2	stream	stream	NOUN
cana-396	107	3	showing	show	VERB
cana-396	107	4	has	have	VERB
cana-396	107	5	many	many	ADJ
cana-396	107	6	diverse	diverse	ADJ
cana-396	107	7	and	and	CCONJ
cana-396	107	8	wide	wide	ADV
cana-396	107	9	-	-	PUNCT
cana-396	107	10	ranging	range	VERB
cana-396	107	11	applications	application	NOUN
cana-396	107	12	in	in	ADP
cana-396	107	13	the	the	DET
cana-396	107	14	aviation	aviation	NOUN
cana-396	107	15	,	,	PUNCT
cana-396	107	16	automotive	automotive	ADJ
cana-396	107	17	,	,	PUNCT
cana-396	107	18	ecological	ecological	ADJ
cana-396	107	19	,	,	PUNCT
cana-396	107	20	and	and	CCONJ
cana-396	107	21	biomedical	biomedical	ADJ
cana-396	107	22	design	design	NOUN
cana-396	107	23	industries	industry	NOUN
cana-396	107	24	.	.	PUNCT
cana-396	108	1	for	for	ADP
cana-396	108	2	instance	instance	NOUN
cana-396	108	3	,	,	PUNCT
cana-396	108	4	fluid	fluid	ADJ
cana-396	108	5	stream	stream	NOUN
cana-396	108	6	exhibiting	exhibit	VERB
cana-396	108	7	is	be	AUX
cana-396	108	8	crucial	crucial	ADJ
cana-396	108	9	in	in	ADP
cana-396	108	10	the	the	DET
cana-396	108	11	auto	auto	NOUN
cana-396	108	12	industry	industry	NOUN
cana-396	108	13	and	and	CCONJ
cana-396	108	14	aviation	aviation	NOUN
cana-396	108	15	to	to	PART
cana-396	108	16	improve	improve	VERB
cana-396	108	17	the	the	DET
cana-396	108	18	streamlined	streamlined	ADJ
cana-396	108	19	presentation	presentation	NOUN
cana-396	108	20	of	of	ADP
cana-396	108	21	cars	car	NOUN
cana-396	108	22	and	and	CCONJ
cana-396	108	23	aircraft	aircraft	NOUN
cana-396	108	24	,	,	PUNCT
cana-396	108	25	increase	increase	VERB
cana-396	108	26	environmental	environmental	ADJ
cana-396	108	27	friendliness	friendliness	NOUN
cana-396	108	28	,	,	PUNCT
cana-396	108	29	and	and	CCONJ
cana-396	108	30	reduce	reduce	VERB
cana-396	108	31	drag	drag	NOUN
cana-396	108	32	.	.	PUNCT
cana-396	109	1	it	it	PRON
cana-396	109	2	plays	play	VERB
cana-396	109	3	a	a	DET
cana-396	109	4	crucial	crucial	ADJ
cana-396	109	5	role	role	NOUN
cana-396	109	6	in	in	ADP
cana-396	109	7	ecological	ecological	ADJ
cana-396	109	8	design	design	NOUN
cana-396	109	9	by	by	ADP
cana-396	109	10	focusing	focus	VERB
cana-396	109	11	on	on	ADP
cana-396	109	12	natural	natural	ADJ
cana-396	109	13	fluid	fluid	ADJ
cana-396	109	14	frameworks	framework	NOUN
cana-396	109	15	like	like	ADP
cana-396	109	16	rivers	river	NOUN
cana-396	109	17	and	and	CCONJ
cana-396	109	18	seas	sea	NOUN
cana-396	109	19	and	and	CCONJ
cana-396	109	20	by	by	ADP
cana-396	109	21	anticipating	anticipate	VERB
cana-396	109	22	and	and	CCONJ
cana-396	109	23	reducing	reduce	VERB
cana-396	109	24	the	the	DET
cana-396	109	25	impact	impact	NOUN
cana-396	109	26	of	of	ADP
cana-396	109	27	pollution	pollution	NOUN
cana-396	109	28	and	and	CCONJ
cana-396	109	29	alien	alien	ADJ
cana-396	109	30	materials	material	NOUN
cana-396	109	31	.	.	PUNCT
cana-396	110	1	additionally	additionally	ADV
cana-396	110	2	,	,	PUNCT
cana-396	110	3	fluid	fluid	ADJ
cana-396	110	4	flow	flow	NOUN
cana-396	110	5	visualization	visualization	NOUN
cana-396	110	6	plays	play	VERB
cana-396	110	7	a	a	DET
cana-396	110	8	crucial	crucial	ADJ
cana-396	110	9	role	role	NOUN
cana-396	110	10	in	in	ADP
cana-396	110	11	the	the	DET
cana-396	110	12	field	field	NOUN
cana-396	110	13	of	of	ADP
cana-396	110	14	biomedical	biomedical	ADJ
cana-396	110	15	design	design	NOUN
cana-396	110	16	,	,	PUNCT
cana-396	110	17	where	where	SCONJ
cana-396	110	18	it	it	PRON
cana-396	110	19	is	be	AUX
cana-396	110	20	used	use	VERB
cana-396	110	21	to	to	PART
cana-396	110	22	simulate	simulate	VERB
cana-396	110	23	blood	blood	NOUN
cana-396	110	24	flow	flow	NOUN
cana-396	110	25	in	in	ADP
cana-396	110	26	veins	vein	NOUN
cana-396	110	27	and	and	CCONJ
cana-396	110	28	supply	supply	NOUN
cana-396	110	29	pathways	pathway	NOUN
cana-396	110	30	,	,	PUNCT
cana-396	110	31	assisting	assist	VERB
cana-396	110	32	in	in	ADP
cana-396	110	33	the	the	DET
cana-396	110	34	diagnosis	diagnosis	NOUN
cana-396	110	35	and	and	CCONJ
cana-396	110	36	treatment	treatment	NOUN
cana-396	110	37	of	of	ADP
cana-396	110	38	cardiovascular	cardiovascular	ADJ
cana-396	110	39	diseases	disease	NOUN
cana-396	110	40	.	.	PUNCT
cana-396	111	1	beyond	beyond	ADP
cana-396	111	2	these	these	DET
cana-396	111	3	instances	instance	NOUN
cana-396	111	4	,	,	PUNCT
cana-396	111	5	fluid	fluid	ADJ
cana-396	111	6	stream	stream	NOUN
cana-396	111	7	visualization	visualization	NOUN
cana-396	111	8	is	be	AUX
cana-396	111	9	used	use	VERB
cana-396	111	10	in	in	ADP
cana-396	111	11	a	a	DET
cana-396	111	12	variety	variety	NOUN
cana-396	111	13	of	of	ADP
cana-396	111	14	fields	field	NOUN
cana-396	111	15	,	,	PUNCT
cana-396	111	16	including	include	VERB
cana-396	111	17	contemporary	contemporary	ADJ
cana-396	111	18	assembly	assembly	NOUN
cana-396	111	19	,	,	PUNCT
cana-396	111	20	oil	oil	NOUN
cana-396	111	21	and	and	CCONJ
cana-396	111	22	gas	gas	NOUN
cana-396	111	23	exploration	exploration	NOUN
cana-396	111	24	,	,	PUNCT
cana-396	111	25	compound	compound	NOUN
cana-396	111	26	handling	handling	NOUN
cana-396	111	27	,	,	PUNCT
cana-396	111	28	and	and	CCONJ
cana-396	111	29	climate	climate	NOUN
cana-396	111	30	forecasting	forecasting	NOUN
cana-396	111	31	.	.	PUNCT
cana-396	112	1	by	by	ADP
cana-396	112	2	providing	provide	VERB
cana-396	112	3	insights	insight	NOUN
cana-396	112	4	into	into	ADP
cana-396	112	5	fluid	fluid	ADJ
cana-396	112	6	behavior	behavior	NOUN
cana-396	112	7	under	under	ADP
cana-396	112	8	various	various	ADJ
cana-396	112	9	conditions	condition	NOUN
cana-396	112	10	,	,	PUNCT
cana-396	112	11	it	it	PRON
cana-396	112	12	enables	enable	VERB
cana-396	112	13	researchers	researcher	NOUN
cana-396	112	14	and	and	CCONJ
cana-396	112	15	architects	architect	NOUN
cana-396	112	16	to	to	PART
cana-396	112	17	devise	devise	VERB
cana-396	112	18	more	more	ADV
cana-396	112	19	efficient	efficient	ADJ
cana-396	112	20	plans	plan	NOUN
cana-396	112	21	,	,	PUNCT
cana-396	112	22	enhance	enhance	VERB
cana-396	112	23	workflows	workflow	NOUN
cana-396	112	24	,	,	PUNCT
cana-396	112	25	and	and	CCONJ
cana-396	112	26	solve	solve	VERB
cana-396	112	27	issues	issue	NOUN
cana-396	112	28	related	relate	VERB
cana-396	112	29	to	to	ADP
cana-396	112	30	fluid	fluid	ADJ
cana-396	112	31	components	component	NOUN
cana-396	112	32	.	.	PUNCT
cana-396	113	1	fundamentally	fundamentally	ADV
cana-396	113	2	,	,	PUNCT
cana-396	113	3	fluid	fluid	ADJ
cana-396	113	4	stream	stream	NOUN
cana-396	113	5	demonstration	demonstration	NOUN
cana-396	113	6	is	be	AUX
cana-396	113	7	a	a	DET
cana-396	113	8	great	great	ADJ
cana-396	113	9	tool	tool	NOUN
cana-396	113	10	for	for	ADP
cana-396	113	11	comprehending	comprehend	VERB
cana-396	113	12	and	and	CCONJ
cana-396	113	13	addressing	address	VERB
cana-396	113	14	the	the	DET
cana-396	113	15	perplexing	perplexing	ADJ
cana-396	113	16	behaviors	behavior	NOUN
cana-396	113	17	of	of	ADP
cana-396	113	18	fluids	fluid	NOUN
cana-396	113	19	,	,	PUNCT
cana-396	113	20	which	which	PRON
cana-396	113	21	in	in	ADP
cana-396	113	22	turn	turn	NOUN
cana-396	113	23	propels	propel	VERB
cana-396	113	24	advancement	advancement	NOUN
cana-396	113	25	and	and	CCONJ
cana-396	113	26	progress	progress	NOUN
cana-396	113	27	in	in	ADP
cana-396	113	28	a	a	DET
cana-396	113	29	wide	wide	ADJ
cana-396	113	30	range	range	NOUN
cana-396	113	31	of	of	ADP
cana-396	113	32	endeavors	endeavor	NOUN
cana-396	113	33	and	and	CCONJ
cana-396	113	34	logical	logical	ADJ
cana-396	113	35	disciplines	discipline	NOUN
cana-396	113	36	.	.	PUNCT
cana-396	114	1	6	6	X
cana-396	114	2	.	.	X
cana-396	114	3	general	general	ADJ
cana-396	114	4	facts	fact	NOUN
cana-396	114	5	about	about	ADP
cana-396	114	6	pde	pde	NOUN
cana-396	114	7	equations	equation	NOUN
cana-396	114	8	for	for	ADP
cana-396	114	9	the	the	DET
cana-396	114	10	elements	element	NOUN
cana-396	114	11	of	of	ADP
cana-396	114	12	a	a	DET
cana-396	114	13	few	few	ADJ
cana-396	114	14	factors	factor	NOUN
cana-396	114	15	that	that	PRON
cana-396	114	16	contain	contain	VERB
cana-396	114	17	partial	partial	ADJ
cana-396	114	18	subsidiary	subsidiary	NOUN
cana-396	114	19	are	be	AUX
cana-396	114	20	known	know	VERB
cana-396	114	21	as	as	ADP
cana-396	114	22	partial	partial	ADJ
cana-396	114	23	differential	differential	NOUN
cana-396	114	24	equations	equation	NOUN
cana-396	114	25	,	,	PUNCT
cana-396	114	26	or	or	CCONJ
cana-396	114	27	pdes	pde	NOUN
cana-396	114	28	.	.	PUNCT
cana-396	115	1	laplace	laplace	NOUN
cana-396	115	2	equations	equation	NOUN
cana-396	115	3	are	be	AUX
cana-396	115	4	regular	regular	ADJ
cana-396	115	5	pdes	pde	NOUN
cana-396	115	6	:	:	PUNCT
cana-396	115	7	∆∅[𝒙	∆∅[𝒙	PROPN
cana-396	115	8	,	,	PUNCT
cana-396	115	9	𝒚	𝒚	NOUN
cana-396	115	10	,	,	PUNCT
cana-396	115	11	.	.	PUNCT
cana-396	115	12	.	.	PUNCT
cana-396	115	13	.	.	PUNCT
cana-396	116	1	]	]	PUNCT
cana-396	117	1	=	=	SYM
cana-396	117	2	𝟎	𝟎	X
cana-396	117	3	(	(	PUNCT
cana-396	117	4	𝟒	𝟒	X
cana-396	117	5	)	)	PUNCT
cana-396	117	6	poisson	poisson	NOUN
cana-396	117	7	equation	equation	NOUN
cana-396	117	8	(	(	PUNCT
cana-396	117	9	laplace	laplace	NOUN
cana-396	117	10	equation	equation	NOUN
cana-396	117	11	with	with	ADP
cana-396	117	12	a	a	DET
cana-396	117	13	source	source	NOUN
cana-396	117	14	)	)	PUNCT
cana-396	117	15	,	,	PUNCT
cana-396	117	16	where	where	SCONJ
cana-396	117	17	d	d	NOUN
cana-396	117	18	is	be	AUX
cana-396	117	19	the	the	DET
cana-396	117	20	laplace	laplace	NOUN
cana-396	117	21	administrator	administrator	NOUN
cana-396	117	22	∆∅[𝒙	∆∅[𝒙	PROPN
cana-396	117	23	,	,	PUNCT
cana-396	117	24	𝒚	𝒚	NOUN
cana-396	117	25	,	,	PUNCT
cana-396	117	26	.	.	PUNCT
cana-396	117	27	.	.	PUNCT
cana-396	117	28	.	.	PUNCT
cana-396	117	29	]	]	PUNCT
cana-396	118	1	=	=	PUNCT
cana-396	119	1	𝒇	𝒇	X
cana-396	119	2	[	[	X
cana-396	119	3	𝒙	𝒙	X
cana-396	119	4	,	,	PUNCT
cana-396	119	5	𝒚	𝒚	NOUN
cana-396	119	6	,	,	PUNCT
cana-396	119	7	.	.	PUNCT
cana-396	119	8	.	.	PUNCT
cana-396	119	9	.	.	PUNCT
cana-396	120	1	]	]	X
cana-396	120	2	,	,	PUNCT
cana-396	120	3	(	(	PUNCT
cana-396	120	4	𝟓	𝟓	NOUN
cana-396	120	5	)	)	PUNCT
cana-396	120	6	wave	wave	NOUN
cana-396	120	7	equation	equation	NOUN
cana-396	120	8	𝝏𝒕	𝝏𝒕	X
cana-396	120	9	𝟐∅[𝒕	𝟐∅[𝒕	PROPN
cana-396	120	10	,	,	PUNCT
cana-396	120	11	𝒙	𝒙	PROPN
cana-396	120	12	,	,	PUNCT
cana-396	120	13	𝒚	𝒚	PROPN
cana-396	120	14	,	,	PUNCT
cana-396	120	15	.	.	PUNCT
cana-396	120	16	.	.	PUNCT
cana-396	120	17	.	.	PUNCT
cana-396	121	1	]	]	PUNCT
cana-396	122	1	−	−	PROPN
cana-396	122	2	𝒄𝟐	𝒄𝟐	ADJ
cana-396	122	3	∆∅[𝒕	∆∅[𝒕	PROPN
cana-396	122	4	,	,	PUNCT
cana-396	122	5	𝒙	𝒙	PROPN
cana-396	122	6	,	,	PUNCT
cana-396	122	7	𝒚	𝒚	PROPN
cana-396	122	8	,	,	PUNCT
cana-396	122	9	.	.	PUNCT
cana-396	122	10	.	.	PUNCT
cana-396	123	1	.	.	PUNCT
cana-396	124	1	]	]	PUNCT
cana-396	125	1	=	=	SYM
cana-396	125	2	𝟎	𝟎	X
cana-396	125	3	(	(	PUNCT
cana-396	125	4	𝟔	𝟔	X
cana-396	125	5	)	)	PUNCT
cana-396	125	6	heat	heat	NOUN
cana-396	125	7	conduction	conduction	NOUN
cana-396	125	8	/	/	SYM
cana-396	125	9	diffusion	diffusion	NOUN
cana-396	125	10	equation	equation	NOUN
cana-396	125	11	𝝏𝒕∅[𝒕	𝝏𝒕∅[𝒕	PROPN
cana-396	125	12	,	,	PUNCT
cana-396	125	13	𝒙	𝒙	PROPN
cana-396	125	14	,	,	PUNCT
cana-396	125	15	𝒚	𝒚	PROPN
cana-396	125	16	,	,	PUNCT
cana-396	125	17	.	.	PUNCT
cana-396	125	18	.	.	PUNCT
cana-396	125	19	.	.	PUNCT
cana-396	126	1	]	]	PUNCT
cana-396	127	1	−	−	PROPN
cana-396	127	2	𝒌∆∅[𝒕	𝒌∆∅[𝒕	NOUN
cana-396	127	3	,	,	PUNCT
cana-396	127	4	𝒙	𝒙	PROPN
cana-396	127	5	,	,	PUNCT
cana-396	127	6	𝒚	𝒚	PROPN
cana-396	127	7	,	,	PUNCT
cana-396	127	8	.	.	PUNCT
cana-396	127	9	.	.	PUNCT
cana-396	127	10	.	.	PUNCT
cana-396	128	1	]	]	PUNCT
cana-396	129	1	=	=	SYM
cana-396	129	2	𝟎	𝟎	X
cana-396	129	3	(	(	PUNCT
cana-396	129	4	𝟕	𝟕	NOUN
cana-396	129	5	)	)	PUNCT
cana-396	129	6	schrödinger	schrödinger	ADJ
cana-396	129	7	equation	equation	NOUN
cana-396	129	8	𝕚𝝏𝒕∅[𝒕	𝕚𝝏𝒕∅[𝒕	PROPN
cana-396	129	9	,	,	PUNCT
cana-396	129	10	𝒙	𝒙	PROPN
cana-396	129	11	,	,	PUNCT
cana-396	129	12	𝒚	𝒚	PROPN
cana-396	129	13	,	,	PUNCT
cana-396	129	14	.	.	PUNCT
cana-396	129	15	.	.	PUNCT
cana-396	129	16	.	.	PUNCT
cana-396	130	1	]	]	PUNCT
cana-396	131	1	+	+	CCONJ
cana-396	131	2	(	(	PUNCT
cana-396	131	3	𝒂∆	𝒂∆	PROPN
cana-396	131	4	+	+	CCONJ
cana-396	131	5	𝒃𝒇[𝒙	𝒃𝒇[𝒙	PROPN
cana-396	131	6	,	,	PUNCT
cana-396	131	7	𝒚	𝒚	NOUN
cana-396	131	8	,	,	PUNCT
cana-396	131	9	.	.	PUNCT
cana-396	131	10	.	.	PUNCT
cana-396	131	11	.	.	PUNCT
cana-396	132	1	]	]	X
cana-396	132	2	)	)	PUNCT
cana-396	132	3	∅[𝒕	∅[𝒕	PROPN
cana-396	132	4	,	,	PUNCT
cana-396	132	5	𝒙	𝒙	PROPN
cana-396	132	6	,	,	PUNCT
cana-396	132	7	𝒚	𝒚	PROPN
cana-396	132	8	,	,	PUNCT
cana-396	132	9	.	.	PUNCT
cana-396	132	10	.	.	PUNCT
cana-396	132	11	.	.	PUNCT
cana-396	133	1	]	]	PUNCT
cana-396	134	1	=	=	PUNCT
cana-396	134	2	𝟎	𝟎	X
cana-396	134	3	,	,	PUNCT
cana-396	134	4	(	(	PUNCT
cana-396	134	5	𝟖	𝟖	X
cana-396	134	6	)	)	PUNCT
cana-396	134	7	and	and	CCONJ
cana-396	134	8	so	so	ADV
cana-396	134	9	on	on	ADV
cana-396	134	10	.	.	PUNCT
cana-396	135	1	nonlinear	nonlinear	ADJ
cana-396	135	2	pdes	pde	NOUN
cana-396	135	3	and	and	CCONJ
cana-396	135	4	pde	pde	NOUN
cana-396	135	5	frameworks	framework	NOUN
cana-396	135	6	are	be	AUX
cana-396	135	7	both	both	ADV
cana-396	135	8	available	available	ADJ
cana-396	135	9	.	.	PUNCT
cana-396	136	1	pde	pde	NOUN
cana-396	136	2	arrangements	arrangement	NOUN
cana-396	136	3	offer	offer	VERB
cana-396	136	4	greater	great	ADJ
cana-396	136	5	flexibility	flexibility	NOUN
cana-396	136	6	than	than	ADP
cana-396	136	7	tribute	tribute	NOUN
cana-396	136	8	arrangements	arrangement	NOUN
cana-396	136	9	because	because	SCONJ
cana-396	136	10	linking	link	VERB
cana-396	136	11	"	"	PUNCT
cana-396	136	12	constants	constant	NOUN
cana-396	136	13	"	"	PUNCT
cana-396	136	14	is	be	AUX
cana-396	136	15	,	,	PUNCT
cana-396	136	16	in	in	ADP
cana-396	136	17	fact	fact	NOUN
cana-396	136	18	,	,	PUNCT
cana-396	136	19	a	a	DET
cana-396	136	20	capability	capability	NOUN
cana-396	136	21	.	.	PUNCT
cana-396	137	1	for	for	ADP
cana-396	137	2	instance	instance	NOUN
cana-396	137	3	,	,	PUNCT
cana-396	137	4	the	the	DET
cana-396	137	5	second	second	ADJ
cana-396	137	6	-	-	PUNCT
cana-396	137	7	request	request	NOUN
cana-396	137	8	pde	pde	NOUN
cana-396	137	9	's	's	PART
cana-396	137	10	general	general	ADJ
cana-396	137	11	layout	layout	PROPN
cana-396	137	12	𝝏𝒙,𝒚𝒇[𝒙	𝝏𝒙,𝒚𝒇[𝒙	PROPN
cana-396	137	13	,	,	PUNCT
cana-396	137	14	𝒚	𝒚	NOUN
cana-396	137	15	]	]	X
cana-396	137	16	=	=	SYM
cana-396	137	17	𝟎	𝟎	X
cana-396	137	18	(	(	PUNCT
cana-396	137	19	𝟗	𝟗	NUM
cana-396	137	20	)	)	PUNCT
cana-396	137	21	communications	communication	NOUN
cana-396	137	22	on	on	ADP
cana-396	137	23	applied	apply	VERB
cana-396	137	24	nonlinear	nonlinear	ADJ
cana-396	137	25	analysis	analysis	NOUN
cana-396	137	26	issn	issn	NOUN
cana-396	137	27	:	:	PUNCT
cana-396	137	28	1074	1074	NUM
cana-396	137	29	-	-	PUNCT
cana-396	137	30	133x	133x	NUM
cana-396	137	31	vol	vol	NOUN
cana-396	137	32	31	31	NUM
cana-396	137	33	no	no	NOUN
cana-396	137	34	.	.	NOUN
cana-396	137	35	1	1	NUM
cana-396	137	36	(	(	PUNCT
cana-396	137	37	2024	2024	NUM
cana-396	137	38	)	)	PUNCT
cana-396	137	39	213	213	NUM
cana-396	137	40	https://internationalpubls.com	https://internationalpubls.com	X
cana-396	137	41	is	be	AUX
cana-396	137	42	𝒇[𝒙	𝒇[𝒙	NUM
cana-396	137	43	,	,	PUNCT
cana-396	137	44	𝒚	𝒚	X
cana-396	137	45	]	]	X
cana-396	137	46	=	=	PUNCT
cana-396	137	47	𝑭[𝒙	𝑭[𝒙	PROPN
cana-396	137	48	]	]	X
cana-396	137	49	+	+	CCONJ
cana-396	137	50	𝑮[𝒚	𝑮[𝒚	NOUN
cana-396	137	51	]	]	X
cana-396	137	52	,	,	PUNCT
cana-396	137	53	(	(	PUNCT
cana-396	137	54	𝟏𝟎	𝟏𝟎	NOUN
cana-396	137	55	)	)	PUNCT
cana-396	137	56	where	where	SCONJ
cana-396	137	57	the	the	DET
cana-396	137	58	capabilities	capability	NOUN
cana-396	137	59	of	of	ADP
cana-396	137	60	f@xd	f@xd	NOUN
cana-396	137	61	and	and	CCONJ
cana-396	137	62	g@yd	g@yd	NOUN
cana-396	137	63	are	be	AUX
cana-396	137	64	not	not	PART
cana-396	137	65	consistent	consistent	ADJ
cana-396	137	66	.	.	PUNCT
cana-396	138	1	the	the	DET
cana-396	138	2	first	first	ADJ
cana-396	138	3	-	-	PUNCT
cana-396	138	4	request	request	NOUN
cana-396	138	5	pde	pde	NOUN
cana-396	138	6	's	's	PART
cana-396	138	7	arrangement	arrangement	NOUN
cana-396	138	8	𝝏𝒕𝒇[𝒕	𝝏𝒕𝒇[𝒕	NOUN
cana-396	138	9	,	,	PUNCT
cana-396	138	10	𝒙	𝒙	NOUN
cana-396	138	11	]	]	PUNCT
cana-396	138	12	−	−	NOUN
cana-396	138	13	𝒗𝝏𝒙𝒇[𝒕	𝒗𝝏𝒙𝒇[𝒕	PROPN
cana-396	138	14	,	,	PUNCT
cana-396	138	15	𝒙	𝒙	X
cana-396	138	16	]	]	X
cana-396	138	17	=	=	SYM
cana-396	138	18	𝟎	𝟎	X
cana-396	138	19	(	(	PUNCT
cana-396	138	20	𝟏𝟏	𝟏𝟏	NUM
cana-396	138	21	)	)	PUNCT
cana-396	138	22	is	be	AUX
cana-396	138	23	𝒇[𝒕	𝒇[𝒕	NUM
cana-396	138	24	,	,	PUNCT
cana-396	138	25	𝒙	𝒙	X
cana-396	138	26	]	]	X
cana-396	138	27	=	=	X
cana-396	139	1	𝒈[𝒙	𝒈[𝒙	ADJ
cana-396	139	2	−	−	NOUN
cana-396	139	3	𝒗𝒕	𝒗𝒕	ADP
cana-396	139	4	]	]	X
cana-396	139	5	(	(	PUNCT
cana-396	139	6	𝟏𝟐	𝟏𝟐	NUM
cana-396	139	7	)	)	PUNCT
cana-396	139	8	that	that	PRON
cana-396	139	9	,	,	PUNCT
cana-396	139	10	if	if	SCONJ
cana-396	139	11	v	v	ADP
cana-396	139	12	>	>	X
cana-396	139	13	0	0	NUM
cana-396	139	14	,	,	PUNCT
cana-396	139	15	shows	show	VERB
cana-396	139	16	an	an	DET
cana-396	139	17	erratic	erratic	ADV
cana-396	139	18	-	-	PUNCT
cana-396	139	19	shaped	shape	VERB
cana-396	139	20	front	front	NOUN
cana-396	139	21	traveling	travel	VERB
cana-396	139	22	in	in	ADP
cana-396	139	23	a	a	DET
cana-396	139	24	positive	positive	ADJ
cana-396	139	25	direction	direction	NOUN
cana-396	139	26	.	.	PUNCT
cana-396	140	1	since	since	SCONJ
cana-396	140	2	general	general	ADJ
cana-396	140	3	logical	logical	ADJ
cana-396	140	4	structures	structure	NOUN
cana-396	140	5	of	of	ADP
cana-396	140	6	pdes	pde	NOUN
cana-396	140	7	are	be	AUX
cana-396	140	8	only	only	ADV
cana-396	140	9	available	available	ADJ
cana-396	140	10	in	in	ADP
cana-396	140	11	the	the	DET
cana-396	140	12	easiest	easy	ADJ
cana-396	140	13	circumstances	circumstance	NOUN
cana-396	140	14	,	,	PUNCT
cana-396	140	15	they	they	PRON
cana-396	140	16	have	have	AUX
cana-396	140	17	not	not	PART
cana-396	140	18	yet	yet	ADV
cana-396	140	19	addressed	address	VERB
cana-396	140	20	the	the	DET
cana-396	140	21	problem	problem	NOUN
cana-396	140	22	.	.	PUNCT
cana-396	141	1	the	the	DET
cana-396	141	2	balance	balance	NOUN
cana-396	141	3	of	of	ADP
cana-396	141	4	the	the	DET
cana-396	141	5	problem	problem	NOUN
cana-396	141	6	(	(	PUNCT
cana-396	141	7	if	if	SCONJ
cana-396	141	8	it	it	PRON
cana-396	141	9	exists	exist	VERB
cana-396	141	10	)	)	PUNCT
cana-396	141	11	and	and	CCONJ
cana-396	141	12	the	the	DET
cana-396	141	13	limit	limit	NOUN
cana-396	141	14	conditions	condition	NOUN
cana-396	141	15	define	define	VERB
cana-396	141	16	the	the	DET
cana-396	141	17	true	true	ADJ
cana-396	141	18	nature	nature	NOUN
cana-396	141	19	of	of	ADP
cana-396	141	20	the	the	DET
cana-396	141	21	arrangement	arrangement	NOUN
cana-396	141	22	.	.	PUNCT
cana-396	142	1	in	in	ADP
cana-396	142	2	the	the	DET
cana-396	142	3	unlikely	unlikely	ADJ
cana-396	142	4	event	event	NOUN
cana-396	142	5	that	that	DET
cana-396	142	6	time	time	NOUN
cana-396	142	7	is	be	AUX
cana-396	142	8	one	one	NUM
cana-396	142	9	of	of	ADP
cana-396	142	10	the	the	DET
cana-396	142	11	components	component	NOUN
cana-396	142	12	,	,	PUNCT
cana-396	142	13	one	one	NUM
cana-396	142	14	typically	typically	ADV
cana-396	142	15	talks	talk	VERB
cana-396	142	16	about	about	ADP
cana-396	142	17	the	the	DET
cana-396	142	18	limit	limit	NOUN
cana-396	142	19	conditions	condition	NOUN
cana-396	142	20	for	for	ADP
cana-396	142	21	spatial	spatial	ADJ
cana-396	142	22	factors	factor	NOUN
cana-396	142	23	and	and	CCONJ
cana-396	142	24	the	the	DET
cana-396	142	25	introduction	introduction	NOUN
cana-396	142	26	criteria	criterion	NOUN
cana-396	142	27	set	set	VERB
cana-396	142	28	at	at	ADP
cana-396	142	29	the	the	DET
cana-396	142	30	underlying	underlying	ADJ
cana-396	142	31	time	time	NOUN
cana-396	142	32	.	.	PUNCT
cana-396	143	1	if	if	SCONJ
cana-396	143	2	initial	initial	ADJ
cana-396	143	3	conditions	condition	NOUN
cana-396	143	4	exist	exist	VERB
cana-396	143	5	but	but	CCONJ
cana-396	143	6	no	no	DET
cana-396	143	7	final	final	ADJ
cana-396	143	8	conditions	condition	NOUN
cana-396	143	9	,	,	PUNCT
cana-396	143	10	the	the	DET
cana-396	143	11	problem	problem	NOUN
cana-396	143	12	is	be	AUX
cana-396	143	13	developmental	developmental	ADJ
cana-396	143	14	and	and	CCONJ
cana-396	143	15	could	could	AUX
cana-396	143	16	be	be	AUX
cana-396	143	17	solved	solve	VERB
cana-396	143	18	theoretically	theoretically	ADV
cana-396	143	19	by	by	ADP
cana-396	143	20	starting	start	VERB
cana-396	143	21	with	with	ADP
cana-396	143	22	the	the	DET
cana-396	143	23	initial	initial	ADJ
cana-396	143	24	conditions	condition	NOUN
cana-396	143	25	and	and	CCONJ
cana-396	143	26	extending	extend	VERB
cana-396	143	27	the	the	DET
cana-396	143	28	period	period	NOUN
cana-396	143	29	.	.	PUNCT
cana-396	144	1	this	this	PRON
cana-396	144	2	is	be	AUX
cana-396	144	3	best	well	ADV
cana-396	144	4	accomplished	accomplish	VERB
cana-396	144	5	with	with	ADP
cana-396	144	6	the	the	DET
cana-396	144	7	alleged	allege	VERB
cana-396	144	8	"	"	PUNCT
cana-396	144	9	strategy	strategy	NOUN
cana-396	144	10	for	for	ADP
cana-396	144	11	lines	line	NOUN
cana-396	144	12	"	"	PUNCT
cana-396	144	13	that	that	PRON
cana-396	144	14	mathematica	mathematica	PROPN
cana-396	144	15	employs	employ	VERB
cana-396	144	16	.	.	PUNCT
cana-396	145	1	first	first	ADV
cana-396	145	2	,	,	PUNCT
cana-396	145	3	the	the	DET
cana-396	145	4	problem	problem	NOUN
cana-396	145	5	is	be	AUX
cana-396	145	6	divided	divide	VERB
cana-396	145	7	into	into	ADP
cana-396	145	8	exceptional	exceptional	ADJ
cana-396	145	9	elements	element	NOUN
cana-396	145	10	,	,	PUNCT
cana-396	145	11	and	and	CCONJ
cana-396	145	12	contrasts	contrast	NOUN
cana-396	145	13	are	be	AUX
cana-396	145	14	used	use	VERB
cana-396	145	15	to	to	PART
cana-396	145	16	approximate	approximate	VERB
cana-396	145	17	the	the	DET
cana-396	145	18	spatial	spatial	ADJ
cana-396	145	19	subsidiary	subsidiary	NOUN
cana-396	145	20	.	.	PUNCT
cana-396	146	1	as	as	ADP
cana-396	146	2	a	a	DET
cana-396	146	3	result	result	NOUN
cana-396	146	4	,	,	PUNCT
cana-396	146	5	the	the	DET
cana-396	146	6	pde	pde	NOUN
cana-396	146	7	is	be	AUX
cana-396	146	8	reduced	reduce	VERB
cana-396	146	9	to	to	ADP
cana-396	146	10	a	a	DET
cana-396	146	11	chronological	chronological	ADJ
cana-396	146	12	tribute	tribute	NOUN
cana-396	146	13	arrangement	arrangement	NOUN
cana-396	146	14	.	.	PUNCT
cana-396	147	1	one	one	NUM
cana-396	147	2	of	of	ADP
cana-396	147	3	the	the	DET
cana-396	147	4	best	good	ADJ
cana-396	147	5	execution	execution	NOUN
cana-396	147	6	tribute	tribute	NOUN
cana-396	147	7	solvers	solver	NOUN
cana-396	147	8	then	then	ADV
cana-396	147	9	takes	take	VERB
cana-396	147	10	on	on	ADP
cana-396	147	11	the	the	DET
cana-396	147	12	next	next	ADJ
cana-396	147	13	arrangement	arrangement	NOUN
cana-396	147	14	of	of	ADP
cana-396	147	15	tributes	tribute	NOUN
cana-396	147	16	.	.	PUNCT
cana-396	148	1	in	in	ADP
cana-396	148	2	mathematica	mathematica	PROPN
cana-396	148	3	,	,	PUNCT
cana-396	148	4	nd	nd	PRON
cana-396	148	5	address	address	NOUN
cana-396	148	6	deals	deal	NOUN
cana-396	148	7	with	with	ADP
cana-396	148	8	tributes	tribute	NOUN
cana-396	148	9	and	and	CCONJ
cana-396	148	10	pdes	pde	NOUN
cana-396	148	11	.	.	PUNCT
cana-396	149	1	however	however	ADV
cana-396	149	2	,	,	PUNCT
cana-396	149	3	mathematica	mathematica	PROPN
cana-396	149	4	can	can	AUX
cana-396	149	5	currently	currently	ADV
cana-396	149	6	handle	handle	VERB
cana-396	149	7	problems	problem	NOUN
cana-396	149	8	involving	involve	VERB
cana-396	149	9	a	a	DET
cana-396	149	10	rectangular	rectangular	ADJ
cana-396	149	11	spatial	spatial	ADJ
cana-396	149	12	location	location	NOUN
cana-396	149	13	.	.	PUNCT
cana-396	150	1	in	in	ADP
cana-396	150	2	certain	certain	ADJ
cana-396	150	3	situations	situation	NOUN
cana-396	150	4	,	,	PUNCT
cana-396	150	5	one	one	PRON
cana-396	150	6	can	can	AUX
cana-396	150	7	also	also	ADV
cana-396	150	8	find	find	VERB
cana-396	150	9	a	a	DET
cana-396	150	10	scientific	scientific	ADJ
cana-396	150	11	arrangement	arrangement	NOUN
cana-396	150	12	for	for	ADP
cana-396	150	13	a	a	DET
cana-396	150	14	standard	standard	ADJ
cana-396	150	15	pde	pde	NOUN
cana-396	150	16	.	.	PUNCT
cana-396	151	1	there	there	PRON
cana-396	151	2	is	be	VERB
cana-396	151	3	no	no	DET
cana-396	151	4	numerical	numerical	ADJ
cana-396	151	5	difference	difference	NOUN
cana-396	151	6	between	between	ADP
cana-396	151	7	the	the	DET
cana-396	151	8	various	various	ADJ
cana-396	151	9	parameters	parameter	NOUN
cana-396	151	10	and	and	CCONJ
cana-396	151	11	the	the	DET
cana-396	151	12	time	time	NOUN
cana-396	151	13	.	.	PUNCT
cana-396	152	1	one	one	PRON
cana-396	152	2	can	can	AUX
cana-396	152	3	consider	consider	VERB
cana-396	152	4	this	this	DET
cana-396	152	5	variable	variable	NOUN
cana-396	152	6	to	to	PART
cana-396	152	7	be	be	AUX
cana-396	152	8	time	time	NOUN
cana-396	152	9	and	and	CCONJ
cana-396	152	10	the	the	DET
cana-396	152	11	problem	problem	NOUN
cana-396	152	12	to	to	PART
cana-396	152	13	be	be	AUX
cana-396	152	14	developmental	developmental	ADJ
cana-396	152	15	if	if	SCONJ
cana-396	152	16	,	,	PUNCT
cana-396	152	17	for	for	ADP
cana-396	152	18	a	a	DET
cana-396	152	19	particular	particular	ADJ
cana-396	152	20	remarkable	remarkable	ADJ
cana-396	152	21	variable	variable	NOUN
cana-396	152	22	,	,	PUNCT
cana-396	152	23	a	a	DET
cana-396	152	24	limit	limit	NOUN
cana-396	152	25	condition	condition	NOUN
cana-396	152	26	is	be	AUX
cana-396	152	27	put	put	VERB
cana-396	152	28	solely	solely	ADV
cana-396	152	29	toward	toward	ADP
cana-396	152	30	one	one	NUM
cana-396	152	31	side	side	NOUN
cana-396	152	32	of	of	ADP
cana-396	152	33	the	the	DET
cana-396	152	34	stretch	stretch	NOUN
cana-396	152	35	.	.	PUNCT
cana-396	153	1	mathematica	mathematica	PROPN
cana-396	153	2	senses	sense	VERB
cana-396	153	3	the	the	DET
cana-396	153	4	situation	situation	NOUN
cana-396	153	5	and	and	CCONJ
cana-396	153	6	finds	find	VERB
cana-396	153	7	the	the	DET
cana-396	153	8	configuration	configuration	NOUN
cana-396	153	9	.	.	PUNCT
cana-396	154	1	considering	consider	VERB
cana-396	154	2	that	that	SCONJ
cana-396	154	3	all	all	DET
cana-396	154	4	stretch	stretch	NOUN
cana-396	154	5	ends	end	VERB
cana-396	154	6	have	have	AUX
cana-396	154	7	limit	limit	VERB
cana-396	154	8	conditions	condition	NOUN
cana-396	154	9	(	(	PUNCT
cana-396	154	10	or	or	CCONJ
cana-396	154	11	endlessness	endlessness	NOUN
cana-396	154	12	)	)	PUNCT
cana-396	155	1	nd	nd	PRON
cana-396	155	2	address	address	NOUN
cana-396	155	3	is	be	AUX
cana-396	155	4	unable	unable	ADJ
cana-396	155	5	to	to	PART
cana-396	155	6	locate	locate	VERB
cana-396	155	7	the	the	DET
cana-396	155	8	arrangement	arrangement	NOUN
cana-396	155	9	;	;	PUNCT
cana-396	155	10	alternative	alternative	ADJ
cana-396	155	11	methods	method	NOUN
cana-396	155	12	must	must	AUX
cana-396	155	13	be	be	AUX
cana-396	155	14	used	use	VERB
cana-396	155	15	.	.	PUNCT
cana-396	156	1	that	that	PRON
cana-396	156	2	's	be	AUX
cana-396	156	3	how	how	SCONJ
cana-396	156	4	most	most	ADJ
cana-396	156	5	time	time	NOUN
cana-396	156	6	-	-	PUNCT
cana-396	156	7	autonomous	autonomous	ADJ
cana-396	156	8	problems	problem	NOUN
cana-396	156	9	are	be	AUX
cana-396	156	10	.	.	PUNCT
cana-396	157	1	7	7	X
cana-396	157	2	.	.	X
cana-396	157	3	applications	application	NOUN
cana-396	157	4	of	of	ADP
cana-396	157	5	partial	partial	ADJ
cana-396	157	6	differential	differential	ADJ
cana-396	157	7	equations	equation	NOUN
cana-396	157	8	in	in	ADP
cana-396	157	9	fluid	fluid	ADJ
cana-396	157	10	mechanics	mechanic	NOUN
cana-396	157	11	a	a	DET
cana-396	157	12	line	line	NOUN
cana-396	157	13	of	of	ADP
cana-396	157	14	length	length	NOUN
cana-396	157	15	l	l	NOUN
cana-396	157	16	that	that	PRON
cana-396	157	17	has	have	AUX
cana-396	157	18	been	be	AUX
cana-396	157	19	relaxed	relax	VERB
cana-396	157	20	along	along	ADP
cana-396	157	21	the	the	DET
cana-396	157	22	x	x	NOUN
cana-396	157	23	-	-	NOUN
cana-396	157	24	turn	turn	NOUN
cana-396	157	25	is	be	AUX
cana-396	157	26	thought	think	VERB
cana-396	157	27	about	about	ADP
cana-396	157	28	,	,	PUNCT
cana-396	157	29	with	with	ADP
cana-396	157	30	one	one	NUM
cana-396	157	31	finish	finish	NOUN
cana-396	157	32	of	of	ADP
cana-396	157	33	the	the	DET
cana-396	157	34	string	string	NOUN
cana-396	157	35	at	at	ADP
cana-396	157	36	x	x	X
cana-396	158	1	=	=	SYM
cana-396	158	2	0	0	NUM
cana-396	158	3	and	and	CCONJ
cana-396	158	4	different	different	ADJ
cana-396	158	5	at	at	ADP
cana-396	158	6	x	x	X
cana-396	158	7	=	=	PUNCT
cana-396	158	8	l.	l.	NOUN
cana-396	158	9	we	we	PRON
cana-396	158	10	recognize	recognize	VERB
cana-396	158	11	that	that	SCONJ
cana-396	158	12	the	the	DET
cana-396	158	13	string	string	NOUN
cana-396	158	14	may	may	AUX
cana-396	158	15	just	just	ADV
cana-396	158	16	progress	progress	VERB
cana-396	158	17	in	in	ADP
cana-396	158	18	a	a	DET
cana-396	158	19	vertical	vertical	ADJ
cana-396	158	20	bearing	bearing	NOUN
cana-396	158	21	.	.	PUNCT
cana-396	159	1	let	let	VERB
cana-396	159	2	u	u	PRON
cana-396	159	3	(	(	PUNCT
cana-396	159	4	x	x	PROPN
cana-396	159	5	,	,	PUNCT
cana-396	159	6	t	t	PROPN
cana-396	159	7	)	)	PUNCT
cana-396	159	8	=	=	PUNCT
cana-396	160	1	string	string	NOUN
cana-396	160	2	's	's	PART
cana-396	160	3	upward	upward	ADJ
cana-396	160	4	migration	migration	NOUN
cana-396	160	5	at	at	ADP
cana-396	160	6	point	point	NOUN
cana-396	160	7	x	x	PUNCT
cana-396	160	8	at	at	ADP
cana-396	160	9	time	time	NOUN
cana-396	160	10	t.	t.	PROPN
cana-396	160	11	for	for	ADP
cana-396	160	12	u	u	PROPN
cana-396	160	13	(	(	PUNCT
cana-396	160	14	x	x	PROPN
cana-396	160	15	,	,	PUNCT
cana-396	160	16	t	t	PROPN
cana-396	160	17	)	)	PUNCT
cana-396	160	18	,	,	PUNCT
cana-396	160	19	we	we	PRON
cana-396	160	20	will	will	AUX
cana-396	160	21	track	track	VERB
cana-396	160	22	down	down	ADP
cana-396	160	23	a	a	DET
cana-396	160	24	partial	partial	ADJ
cana-396	160	25	differential	differential	NOUN
cana-396	160	26	equation	equation	NOUN
cana-396	160	27	.	.	PUNCT
cana-396	161	1	see	see	VERB
cana-396	161	2	that	that	SCONJ
cana-396	161	3	since	since	SCONJ
cana-396	161	4	the	the	DET
cana-396	161	5	string	string	NOUN
cana-396	161	6	's	's	PART
cana-396	161	7	terminations	termination	NOUN
cana-396	161	8	are	be	AUX
cana-396	161	9	fixed	fix	VERB
cana-396	161	10	,	,	PUNCT
cana-396	161	11	we	we	PRON
cana-396	161	12	should	should	AUX
cana-396	161	13	acquire	acquire	VERB
cana-396	161	14	𝓤(𝟎	𝓤(𝟎	PRON
cana-396	161	15	,	,	PUNCT
cana-396	161	16	𝐭	𝐭	X
cana-396	161	17	)	)	PUNCT
cana-396	161	18	=	=	SYM
cana-396	161	19	𝟎	𝟎	PROPN
cana-396	161	20	=	=	SYM
cana-396	161	21	𝓤(𝐋	𝓤(𝐋	NUM
cana-396	161	22	,	,	PUNCT
cana-396	161	23	𝐭	𝐭	NOUN
cana-396	161	24	)	)	PUNCT
cana-396	161	25	for	for	ADP
cana-396	161	26	all	all	DET
cana-396	161	27	t.	t.	NOUN
cana-396	161	28	it	it	PRON
cana-396	161	29	will	will	AUX
cana-396	161	30	be	be	AUX
cana-396	161	31	convenient	convenient	ADJ
cana-396	161	32	to	to	PART
cana-396	161	33	use	use	VERB
cana-396	161	34	the	the	DET
cana-396	161	35	“	"	PUNCT
cana-396	161	36	configuration	configuration	NOUN
cana-396	161	37	space	space	NOUN
cana-396	161	38	”	"	PUNCT
cana-396	161	39	𝑽𝟎.	𝑽𝟎.	ADP
cana-396	161	40	an	an	DET
cana-396	161	41	element	element	NOUN
cana-396	161	42	𝓤(𝐱	𝓤(𝐱	NUM
cana-396	161	43	)	)	PUNCT
cana-396	161	44	∈	∈	PROPN
cana-396	161	45	𝑽𝟎	𝑽𝟎	PROPN
cana-396	161	46	discusses	discuss	VERB
cana-396	161	47	the	the	DET
cana-396	161	48	string	string	NOUN
cana-396	161	49	's	's	PART
cana-396	161	50	design	design	NOUN
cana-396	161	51	at	at	ADP
cana-396	161	52	a	a	DET
cana-396	161	53	certain	certain	ADJ
cana-396	161	54	point	point	NOUN
cana-396	161	55	in	in	ADP
cana-396	161	56	time	time	NOUN
cana-396	161	57	.	.	PUNCT
cana-396	162	1	when	when	SCONJ
cana-396	162	2	the	the	DET
cana-396	162	3	string	string	NOUN
cana-396	162	4	is	be	AUX
cana-396	162	5	in	in	ADP
cana-396	162	6	the	the	DET
cana-396	162	7	design	design	NOUN
cana-396	162	8	u	u	NOUN
cana-396	162	9	(	(	PUNCT
cana-396	162	10	x	x	NOUN
cana-396	162	11	)	)	PUNCT
cana-396	162	12	,	,	PUNCT
cana-396	162	13	we	we	PRON
cana-396	162	14	anticipate	anticipate	VERB
cana-396	162	15	that	that	SCONJ
cana-396	162	16	the	the	DET
cana-396	162	17	potential	potential	ADJ
cana-396	162	18	energy	energy	NOUN
cana-396	162	19	in	in	ADP
cana-396	162	20	the	the	DET
cana-396	162	21	string	string	NOUN
cana-396	162	22	is	be	AUX
cana-396	162	23	:	:	PUNCT
cana-396	162	24	communications	communication	NOUN
cana-396	162	25	on	on	ADP
cana-396	162	26	applied	apply	VERB
cana-396	162	27	nonlinear	nonlinear	ADJ
cana-396	162	28	analysis	analysis	NOUN
cana-396	162	29	issn	issn	NOUN
cana-396	162	30	:	:	PUNCT
cana-396	162	31	1074	1074	NUM
cana-396	162	32	-	-	PUNCT
cana-396	162	33	133x	133x	NUM
cana-396	162	34	vol	vol	NOUN
cana-396	162	35	31	31	NUM
cana-396	162	36	no	no	NOUN
cana-396	162	37	.	.	NOUN
cana-396	162	38	1	1	NUM
cana-396	162	39	(	(	PUNCT
cana-396	162	40	2024	2024	NUM
cana-396	162	41	)	)	PUNCT
cana-396	162	42	214	214	NUM
cana-396	162	43	https://internationalpubls.com	https://internationalpubls.com	X
cana-396	162	44	𝑽(𝓤(𝒙	𝑽(𝓤(𝒙	NOUN
cana-396	162	45	)	)	PUNCT
cana-396	162	46	)	)	PUNCT
cana-396	163	1	=	=	SYM
cana-396	163	2	∫	∫	PROPN
cana-396	163	3	𝑻	𝑻	NOUN
cana-396	163	4	𝟐	𝟐	NUM
cana-396	163	5	𝑳	𝑳	NOUN
cana-396	163	6	𝟎	𝟎	NUM
cana-396	163	7	(	(	PUNCT
cana-396	163	8	𝓭𝓤	𝓭𝓤	PROPN
cana-396	163	9	𝓭𝓧	𝓭𝓧	NOUN
cana-396	163	10	)	)	PUNCT
cana-396	163	11	𝟐	𝟐	NUM
cana-396	163	12	𝓭𝓧	𝓭𝓧	NOUN
cana-396	163	13	,	,	PUNCT
cana-396	163	14	(	(	PUNCT
cana-396	163	15	𝟏𝟑	𝟏𝟑	NUM
cana-396	163	16	)	)	PUNCT
cana-396	163	17	where	where	SCONJ
cana-396	163	18	t	t	PROPN
cana-396	163	19	is	be	AUX
cana-396	163	20	a	a	DET
cana-396	163	21	constant	constant	ADJ
cana-396	163	22	,	,	PUNCT
cana-396	163	23	referred	refer	VERB
cana-396	163	24	to	to	ADP
cana-396	163	25	as	as	ADP
cana-396	163	26	the	the	DET
cana-396	163	27	string	string	NOUN
cana-396	163	28	's	's	PART
cana-396	163	29	pressure	pressure	NOUN
cana-396	163	30	.	.	PUNCT
cana-396	164	1	almost	almost	ADV
cana-396	164	2	certainly	certainly	ADV
cana-396	164	3	,	,	PUNCT
cana-396	164	4	we	we	PRON
cana-396	164	5	have	have	AUX
cana-396	164	6	planned	plan	VERB
cana-396	164	7	an	an	DET
cana-396	164	8	examination	examination	NOUN
cana-396	164	9	that	that	PRON
cana-396	164	10	tests	test	VERB
cana-396	164	11	the	the	DET
cana-396	164	12	possible	possible	ADJ
cana-396	164	13	energy	energy	NOUN
cana-396	164	14	in	in	ADP
cana-396	164	15	the	the	DET
cana-396	164	16	string	string	NOUN
cana-396	164	17	in	in	ADP
cana-396	164	18	different	different	ADJ
cana-396	164	19	setups	setup	NOUN
cana-396	164	20	and	and	CCONJ
cana-396	164	21	has	have	AUX
cana-396	164	22	checked	check	VERB
cana-396	164	23	that	that	SCONJ
cana-396	164	24	it	it	PRON
cana-396	164	25	does	do	VERB
cana-396	164	26	,	,	PUNCT
cana-396	164	27	truth	truth	NOUN
cana-396	164	28	be	be	AUX
cana-396	164	29	told	tell	VERB
cana-396	164	30	,	,	PUNCT
cana-396	164	31	address	address	VERB
cana-396	164	32	all	all	PRON
cana-396	164	33	of	of	ADP
cana-396	164	34	the	the	DET
cana-396	164	35	normal	normal	ADJ
cana-396	164	36	energy	energy	NOUN
cana-396	164	37	in	in	ADP
cana-396	164	38	the	the	DET
cana-396	164	39	string	string	NOUN
cana-396	164	40	.	.	PUNCT
cana-396	165	1	notwithstanding	notwithstanding	ADP
cana-396	165	2	,	,	PUNCT
cana-396	165	3	this	this	DET
cana-396	165	4	articulation	articulation	NOUN
cana-396	165	5	for	for	ADP
cana-396	165	6	potential	potential	ADJ
cana-396	165	7	energy	energy	NOUN
cana-396	165	8	appears	appear	VERB
cana-396	165	9	to	to	PART
cana-396	165	10	be	be	AUX
cana-396	165	11	legit	legit	VERB
cana-396	165	12	considering	consider	VERB
cana-396	165	13	the	the	DET
cana-396	165	14	accompanying	accompany	VERB
cana-396	165	15	explanation	explanation	NOUN
cana-396	165	16	:	:	PUNCT
cana-396	165	17	at	at	ADP
cana-396	165	18	first	first	ADV
cana-396	165	19	,	,	PUNCT
cana-396	165	20	we	we	PRON
cana-396	165	21	could	could	AUX
cana-396	165	22	envision	envision	VERB
cana-396	165	23	that	that	SCONJ
cana-396	165	24	how	how	SCONJ
cana-396	165	25	much	much	ADJ
cana-396	165	26	energy	energy	NOUN
cana-396	165	27	in	in	ADP
cana-396	165	28	the	the	DET
cana-396	165	29	string	string	NOUN
cana-396	165	30	ought	ought	AUX
cana-396	165	31	to	to	PART
cana-396	165	32	be	be	AUX
cana-396	165	33	proportionate	proportionate	ADJ
cana-396	165	34	to	to	ADP
cana-396	165	35	the	the	DET
cana-396	165	36	degree	degree	NOUN
cana-396	165	37	to	to	PART
cana-396	165	38	which	which	PRON
cana-396	165	39	it	it	PRON
cana-396	165	40	broadens	broaden	VERB
cana-396	165	41	,	,	PUNCT
cana-396	165	42	or	or	CCONJ
cana-396	165	43	eventually	eventually	ADV
cana-396	165	44	,	,	PUNCT
cana-396	165	45	to	to	ADP
cana-396	165	46	the	the	DET
cana-396	165	47	length	length	NOUN
cana-396	165	48	of	of	ADP
cana-396	165	49	the	the	DET
cana-396	165	50	string	string	NOUN
cana-396	165	51	.	.	PUNCT
cana-396	166	1	as	as	ADP
cana-396	166	2	per	per	ADP
cana-396	166	3	vector	vector	NOUN
cana-396	166	4	examination	examination	NOUN
cana-396	166	5	,	,	PUNCT
cana-396	166	6	the	the	DET
cana-396	166	7	length	length	NOUN
cana-396	166	8	of	of	ADP
cana-396	166	9	the	the	DET
cana-396	166	10	curve	curve	NOUN
cana-396	166	11	u	u	NOUN
cana-396	166	12	=	=	NOUN
cana-396	166	13	u	u	NOUN
cana-396	166	14	not	not	PART
cana-396	166	15	set	set	VERB
cana-396	166	16	in	in	ADP
cana-396	166	17	stone	stone	NOUN
cana-396	166	18	by	by	ADP
cana-396	166	19	the	the	DET
cana-396	166	20	accompanying	accompanying	ADJ
cana-396	166	21	equation	equation	NOUN
cana-396	166	22	:	:	PUNCT
cana-396	166	23	length	length	PROPN
cana-396	166	24	∫	∫	PROPN
cana-396	166	25	√𝟏	√𝟏	PROPN
cana-396	166	26	+	+	CCONJ
cana-396	166	27	(	(	PUNCT
cana-396	166	28	𝓭𝓤/𝓭𝓧)𝟐𝓭𝓧.	𝓭𝓤/𝓭𝓧)𝟐𝓭𝓧.	NOUN
cana-396	166	29	𝑳	𝑳	NOUN
cana-396	166	30	𝟎	𝟎	PROPN
cana-396	166	31	but	but	CCONJ
cana-396	166	32	when	when	SCONJ
cana-396	166	33	d	d	PROPN
cana-396	166	34	u	u	PROPN
cana-396	166	35	/	/	SYM
cana-396	166	36	d	d	X
cana-396	166	37	x	x	NOUN
cana-396	166	38	is	be	AUX
cana-396	166	39	small	small	ADJ
cana-396	166	40	,	,	PUNCT
cana-396	166	41	[	[	X
cana-396	166	42	𝟏	𝟏	NUM
cana-396	166	43	+	+	CCONJ
cana-396	166	44	𝟏	𝟏	NUM
cana-396	166	45	𝟐	𝟐	NUM
cana-396	166	46	(	(	PUNCT
cana-396	166	47	𝓭𝓤	𝓭𝓤	ADJ
cana-396	166	48	𝓭𝔁	𝓭𝔁	NOUN
cana-396	166	49	)	)	PUNCT
cana-396	166	50	𝟐	𝟐	NUM
cana-396	166	51	]	]	PUNCT
cana-396	166	52	𝟐	𝟐	NUM
cana-396	166	53	=	=	SYM
cana-396	166	54	𝟏	𝟏	NUM
cana-396	167	1	+	+	CCONJ
cana-396	167	2	(	(	PUNCT
cana-396	167	3	𝓭𝓤	𝓭𝓤	ADJ
cana-396	167	4	𝓭𝔁	𝓭𝔁	NOUN
cana-396	167	5	)	)	PUNCT
cana-396	167	6	𝟐	𝟐	NUM
cana-396	167	7	+	+	SYM
cana-396	167	8	𝒂	𝒂	PRON
cana-396	167	9	𝒔𝒎𝒂𝒍𝒍	𝒔𝒎𝒂𝒍𝒍	ADJ
cana-396	167	10	𝒆𝒓𝒓𝒐𝒓	𝒆𝒓𝒓𝒐𝒓	NOUN
cana-396	167	11	(	(	PUNCT
cana-396	167	12	𝟏𝟒	𝟏𝟒	NUM
cana-396	167	13	)	)	PUNCT
cana-396	167	14	and	and	CCONJ
cana-396	167	15	hence	hence	ADV
cana-396	167	16	√𝟏	√𝟏	PROPN
cana-396	167	17	+	+	CCONJ
cana-396	167	18	(	(	PUNCT
cana-396	167	19	𝓭𝓤/𝓭𝓧)𝟐	𝓭𝓤/𝓭𝓧)𝟐	PROPN
cana-396	167	20	is	be	AUX
cana-396	167	21	closely	closely	ADV
cana-396	167	22	approximated	approximate	VERB
cana-396	167	23	by	by	ADP
cana-396	167	24	𝟏	𝟏	PROPN
cana-396	167	25	+	+	CCONJ
cana-396	167	26	𝟏	𝟏	NUM
cana-396	167	27	𝟐	𝟐	NUM
cana-396	167	28	(	(	PUNCT
cana-396	167	29	𝓭𝓤	𝓭𝓤	ADJ
cana-396	167	30	𝓭𝔁⁄	𝓭𝔁⁄	NOUN
cana-396	167	31	)	)	PUNCT
cana-396	167	32	𝟐	𝟐	NUM
cana-396	167	33	consequently	consequently	ADV
cana-396	167	34	,	,	PUNCT
cana-396	167	35	the	the	DET
cana-396	167	36	amount	amount	NOUN
cana-396	167	37	of	of	ADP
cana-396	167	38	energy	energy	NOUN
cana-396	167	39	in	in	ADP
cana-396	167	40	the	the	DET
cana-396	167	41	string	string	NOUN
cana-396	167	42	should	should	AUX
cana-396	167	43	be	be	AUX
cana-396	167	44	proportionate	proportionate	ADJ
cana-396	167	45	to	to	ADP
cana-396	167	46	a	a	DET
cana-396	167	47	first	first	ADJ
cana-396	167	48	order	order	NOUN
cana-396	167	49	of	of	ADP
cana-396	167	50	approximation	approximation	NOUN
cana-396	167	51	.	.	PUNCT
cana-396	168	1	to	to	PART
cana-396	168	2	∫	∫	PROPN
cana-396	169	1	[	[	X
cana-396	169	2	𝟏	𝟏	NUM
cana-396	169	3	+	+	CCONJ
cana-396	169	4	𝟏	𝟏	NUM
cana-396	169	5	𝟐	𝟐	NUM
cana-396	169	6	(	(	PUNCT
cana-396	169	7	𝓭𝓤	𝓭𝓤	ADJ
cana-396	169	8	𝓭𝔁	𝓭𝔁	NOUN
cana-396	169	9	)	)	PUNCT
cana-396	169	10	𝟐	𝟐	NUM
cana-396	169	11	]	]	PUNCT
cana-396	169	12	𝒅𝒙	𝒅𝒙	NOUN
cana-396	169	13	=	=	SYM
cana-396	169	14	𝑳	𝑳	X
cana-396	169	15	𝟎	𝟎	NUM
cana-396	169	16	∫	∫	NOUN
cana-396	169	17	𝟏	𝟏	NUM
cana-396	169	18	𝟐	𝟐	NUM
cana-396	169	19	𝑳	𝑳	X
cana-396	169	20	𝟎	𝟎	NUM
cana-396	169	21	(	(	PUNCT
cana-396	169	22	𝓭𝓤	𝓭𝓤	ADJ
cana-396	169	23	𝓭𝔁	𝓭𝔁	NOUN
cana-396	169	24	)	)	PUNCT
cana-396	169	25	𝟐	𝟐	NUM
cana-396	169	26	𝒅𝒔	𝒅𝒔	INTJ
cana-396	169	27	+	+	NUM
cana-396	169	28	𝒄𝒐𝒏𝒔𝒕𝒂𝒏𝒕	𝒄𝒐𝒏𝒔𝒕𝒂𝒏𝒕	NOUN
cana-396	169	29	.	.	PUNCT
cana-396	170	1	energy	energy	NOUN
cana-396	170	2	in	in	ADP
cana-396	170	3	a	a	DET
cana-396	170	4	string	string	NOUN
cana-396	170	5	is	be	AUX
cana-396	170	6	obtained	obtain	VERB
cana-396	170	7	by	by	ADP
cana-396	170	8	letting	let	VERB
cana-396	170	9	t	t	PROPN
cana-396	170	10	represent	represent	VERB
cana-396	170	11	the	the	DET
cana-396	170	12	proportionality	proportionality	NOUN
cana-396	170	13	constant	constant	ADJ
cana-396	170	14	.	.	PUNCT
cana-396	171	1	=	=	SYM
cana-396	171	2	∫	∫	PROPN
cana-396	171	3	𝑻	𝑻	PROPN
cana-396	171	4	𝟐	𝟐	NUM
cana-396	171	5	𝑳	𝑳	NOUN
cana-396	171	6	𝟎	𝟎	NUM
cana-396	171	7	(	(	PUNCT
cana-396	171	8	𝓭𝓤	𝓭𝓤	ADJ
cana-396	171	9	𝓭𝔁	𝓭𝔁	NOUN
cana-396	171	10	)	)	PUNCT
cana-396	171	11	𝟐	𝟐	NUM
cana-396	171	12	𝒅𝒔	𝒅𝒔	INTJ
cana-396	171	13	+	+	NUM
cana-396	171	14	𝒄𝒐𝒏𝒔𝒕𝒂𝒏𝒕	𝒄𝒐𝒏𝒔𝒕𝒂𝒏𝒕	NOUN
cana-396	171	15	we	we	PRON
cana-396	171	16	might	might	AUX
cana-396	171	17	dispose	dispose	VERB
cana-396	171	18	of	of	ADP
cana-396	171	19	the	the	DET
cana-396	171	20	consistent	consistent	ADJ
cana-396	171	21	term	term	NOUN
cana-396	171	22	to	to	PART
cana-396	171	23	get	get	VERB
cana-396	171	24	since	since	SCONJ
cana-396	171	25	potential	potential	ADJ
cana-396	171	26	energy	energy	NOUN
cana-396	171	27	is	be	AUX
cana-396	171	28	simply	simply	ADV
cana-396	171	29	indicated	indicate	VERB
cana-396	171	30	up	up	ADP
cana-396	171	31	to	to	ADP
cana-396	171	32	the	the	DET
cana-396	171	33	expansion	expansion	NOUN
cana-396	171	34	of	of	ADP
cana-396	171	35	a	a	DET
cana-396	171	36	steady	steady	ADJ
cana-396	171	37	.	.	PUNCT
cana-396	172	1	a	a	DET
cana-396	172	2	component	component	NOUN
cana-396	172	3	f(x	f(x	PROPN
cana-396	172	4	)	)	PUNCT
cana-396	172	5	of	of	ADP
cana-396	172	6	v_0	v_0	PROPN
cana-396	172	7	decides	decide	VERB
cana-396	172	8	the	the	DET
cana-396	172	9	power	power	NOUN
cana-396	172	10	applied	apply	VERB
cana-396	172	11	on	on	ADP
cana-396	172	12	a	a	DET
cana-396	172	13	portion	portion	NOUN
cana-396	172	14	of	of	ADP
cana-396	172	15	the	the	DET
cana-396	172	16	string	string	NOUN
cana-396	172	17	when	when	SCONJ
cana-396	172	18	it	it	PRON
cana-396	172	19	is	be	AUX
cana-396	172	20	in	in	ADP
cana-396	172	21	the	the	DET
cana-396	172	22	setup	setup	NOUN
cana-396	172	23	u	u	NOUN
cana-396	172	24	(	(	PUNCT
cana-396	172	25	x).we	x).we	NOUN
cana-396	172	26	expect	expect	VERB
cana-396	172	27	that	that	SCONJ
cana-396	172	28	f	f	PROPN
cana-396	172	29	(	(	PUNCT
cana-396	172	30	x	x	X
cana-396	172	31	)	)	PUNCT
cana-396	173	1	d	d	NOUN
cana-396	173	2	x	x	PUNCT
cana-396	173	3	is	be	AUX
cana-396	173	4	the	the	DET
cana-396	173	5	power	power	NOUN
cana-396	173	6	working	work	VERB
cana-396	173	7	on	on	ADP
cana-396	173	8	the	the	DET
cana-396	173	9	segment	segment	NOUN
cana-396	173	10	of	of	ADP
cana-396	173	11	the	the	DET
cana-396	173	12	string	string	NOUN
cana-396	173	13	from	from	ADP
cana-396	173	14	one	one	NUM
cana-396	173	15	x	x	NOUN
cana-396	173	16	to	to	ADP
cana-396	173	17	another	another	PRON
cana-396	173	18	+	+	PROPN
cana-396	173	19	dx	dx	PROPN
cana-396	173	20	.	.	PUNCT
cana-396	174	1	while	while	SCONJ
cana-396	174	2	the	the	DET
cana-396	174	3	string	string	NOUN
cana-396	174	4	is	be	AUX
cana-396	174	5	pushed	push	VERB
cana-396	174	6	through	through	ADP
cana-396	174	7	a	a	DET
cana-396	174	8	small	small	ADJ
cana-396	174	9	relocation	relocation	NOUN
cana-396	174	10	by	by	ADP
cana-396	174	11	the	the	DET
cana-396	174	12	power	power	NOUN
cana-396	174	13	𝝃(𝒙	𝝃(𝒙	PROPN
cana-396	174	14	)	)	PUNCT
cana-396	174	15	∈	∈	PROPN
cana-396	174	16	𝑽𝟎	𝑽𝟎	VERB
cana-396	174	17	the	the	DET
cana-396	174	18	"	"	PUNCT
cana-396	174	19	aggregate	aggregate	NOUN
cana-396	174	20	"	"	PUNCT
cana-396	174	21	of	of	ADP
cana-396	174	22	the	the	DET
cana-396	174	23	powers	power	NOUN
cana-396	174	24	following	follow	VERB
cana-396	174	25	up	up	ADP
cana-396	174	26	on	on	ADP
cana-396	174	27	the	the	DET
cana-396	174	28	little	little	ADJ
cana-396	174	29	bits	bit	NOUN
cana-396	174	30	of	of	ADP
cana-396	174	31	string	string	NOUN
cana-396	174	32	,	,	PUNCT
cana-396	174	33	or	or	CCONJ
cana-396	174	34	the	the	DET
cana-396	174	35	"	"	PUNCT
cana-396	174	36	inward	inward	ADJ
cana-396	174	37	item	item	NOUN
cana-396	174	38	"	"	PUNCT
cana-396	174	39	of	of	ADP
cana-396	174	40	f	f	PROPN
cana-396	174	41	and	and	CCONJ
cana-396	174	42	,	,	PUNCT
cana-396	174	43	hence	hence	ADV
cana-396	174	44	,	,	PUNCT
cana-396	174	45	the	the	DET
cana-396	174	46	complete	complete	ADJ
cana-396	174	47	work	work	NOUN
cana-396	174	48	achieved	achieve	VERB
cana-396	174	49	by	by	ADP
cana-396	174	50	f	f	PROPN
cana-396	174	51	(	(	PUNCT
cana-396	174	52	x	x	NOUN
cana-396	174	53	)	)	PUNCT
cana-396	174	54	and	and	CCONJ
cana-396	174	55	ξ	ξ	X
cana-396	174	56	〈	〈	NOUN
cana-396	174	57	𝑭(𝒙	𝑭(𝒙	X
cana-396	174	58	)	)	PUNCT
cana-396	174	59	,	,	PUNCT
cana-396	174	60	𝝃(𝒙	𝝃(𝒙	NOUN
cana-396	174	61	)	)	PUNCT
cana-396	174	62	〉	〉	NOUN
cana-396	174	63	=	=	SYM
cana-396	174	64	∫	∫	PROPN
cana-396	174	65	𝑭(𝒙)𝝃(𝒙)𝒅𝒙	𝑭(𝒙)𝝃(𝒙)𝒅𝒙	NOUN
cana-396	174	66	𝑳	𝑳	X
cana-396	174	67	𝟎	𝟎	X
cana-396	174	68	(	(	PUNCT
cana-396	174	69	𝟏𝟓	𝟏𝟓	NUM
cana-396	174	70	)	)	PUNCT
cana-396	174	71	however	however	ADV
cana-396	174	72	,	,	PUNCT
cana-396	174	73	this	this	DET
cana-396	174	74	task	task	NOUN
cana-396	174	75	involves	involve	VERB
cana-396	174	76	calculating	calculate	VERB
cana-396	174	77	the	the	DET
cana-396	174	78	potential	potential	ADJ
cana-396	174	79	energy	energy	NOUN
cana-396	174	80	dissipated	dissipate	VERB
cana-396	174	81	when	when	SCONJ
cana-396	174	82	the	the	DET
cana-396	174	83	thread	thread	NOUN
cana-396	174	84	passes	pass	VERB
cana-396	174	85	through	through	ADP
cana-396	174	86	the	the	DET
cana-396	174	87	dislodging	dislodging	NOUN
cana-396	174	88	:	:	PUNCT
cana-396	174	89	〈	〈	NOUN
cana-396	174	90	𝑭(𝒙	𝑭(𝒙	X
cana-396	174	91	)	)	PUNCT
cana-396	174	92	,	,	PUNCT
cana-396	174	93	𝝃(𝒙	𝝃(𝒙	NOUN
cana-396	174	94	)	)	PUNCT
cana-396	174	95	〉	〉	NOUN
cana-396	174	96	=	=	SYM
cana-396	174	97	∫	∫	PROPN
cana-396	174	98	𝑻	𝑻	NOUN
cana-396	174	99	𝟐	𝟐	NUM
cana-396	174	100	𝑳	𝑳	NOUN
cana-396	174	101	𝟎	𝟎	NUM
cana-396	174	102	(	(	PUNCT
cana-396	174	103	𝝏𝓤	𝝏𝓤	PROPN
cana-396	174	104	𝝏𝒙	𝝏𝒙	PUNCT
cana-396	174	105	)	)	PUNCT
cana-396	175	1	𝟐	𝟐	NUM
cana-396	175	2	𝒅𝒙	𝒅𝒙	PART
cana-396	175	3	−	−	PROPN
cana-396	175	4	∫	∫	NOUN
cana-396	175	5	𝑻	𝑻	PROPN
cana-396	175	6	𝟐	𝟐	NUM
cana-396	175	7	𝑳	𝑳	NOUN
cana-396	175	8	𝟎	𝟎	NUM
cana-396	175	9	(	(	PUNCT
cana-396	175	10	𝝏(𝓾	𝝏(𝓾	X
cana-396	175	11	+	+	CCONJ
cana-396	175	12	𝝃	𝝃	NOUN
cana-396	175	13	)	)	PUNCT
cana-396	175	14	𝝏𝒙	𝝏𝒙	PUNCT
cana-396	175	15	)	)	PUNCT
cana-396	175	16	𝟐	𝟐	NUM
cana-396	175	17	𝒅𝒙	𝒅𝒙	NOUN
cana-396	175	18	=	=	SYM
cana-396	175	19	−𝑻	−𝑻	PROPN
cana-396	175	20	∫	∫	NOUN
cana-396	175	21	𝝏𝒖	𝝏𝒖	X
cana-396	175	22	𝝏𝒙	𝝏𝒙	PUNCT
cana-396	175	23	𝑻	𝑻	PROPN
cana-396	175	24	𝟎	𝟎	ADJ
cana-396	175	25	𝝏𝝃	𝝏𝝃	NOUN
cana-396	175	26	𝝏𝒙	𝝏𝒙	PUNCT
cana-396	175	27	𝒅𝒙	𝒅𝒙	X
cana-396	175	28	+	+	CCONJ
cana-396	175	29	∫	∫	PROPN
cana-396	175	30	𝑻	𝑻	PROPN
cana-396	175	31	𝟐	𝟐	NUM
cana-396	175	32	𝑳	𝑳	NOUN
cana-396	175	33	𝟎	𝟎	NUM
cana-396	175	34	(	(	PUNCT
cana-396	175	35	𝝏𝝃	𝝏𝝃	X
cana-396	175	36	𝝏𝒙	𝝏𝒙	PUNCT
cana-396	175	37	)	)	PUNCT
cana-396	175	38	𝟐	𝟐	NUM
cana-396	175	39	𝒅𝒙.	𝒅𝒙.	NOUN
cana-396	175	40	(	(	PUNCT
cana-396	175	41	𝟏𝟔	𝟏𝟔	NUM
cana-396	175	42	)	)	PUNCT
cana-396	175	43	communications	communication	NOUN
cana-396	175	44	on	on	ADP
cana-396	175	45	applied	apply	VERB
cana-396	175	46	nonlinear	nonlinear	ADJ
cana-396	175	47	analysis	analysis	NOUN
cana-396	175	48	issn	issn	NOUN
cana-396	175	49	:	:	PUNCT
cana-396	175	50	1074	1074	NUM
cana-396	175	51	-	-	PUNCT
cana-396	175	52	133x	133x	NUM
cana-396	175	53	vol	vol	NOUN
cana-396	175	54	31	31	NUM
cana-396	175	55	no	no	NOUN
cana-396	175	56	.	.	NOUN
cana-396	175	57	1	1	NUM
cana-396	175	58	(	(	PUNCT
cana-396	175	59	2024	2024	NUM
cana-396	175	60	)	)	PUNCT
cana-396	175	61	215	215	NUM
cana-396	175	62	https://internationalpubls.com	https://internationalpubls.com	X
cana-396	176	1	it	it	PRON
cana-396	176	2	is	be	AUX
cana-396	176	3	our	our	PRON
cana-396	176	4	creative	creative	ADJ
cana-396	176	5	mind	mind	NOUN
cana-396	176	6	that	that	SCONJ
cana-396	176	7	the	the	DET
cana-396	176	8	movement	movement	NOUN
cana-396	176	9	\mathbit{\xi	\mathbit{\xi	VERB
cana-396	176	10	}	}	PUNCT
cana-396	176	11	is	be	AUX
cana-396	176	12	little	little	ADJ
cana-396	176	13	,	,	PUNCT
cana-396	176	14	consequently	consequently	ADV
cana-396	176	15	articulations	articulation	NOUN
cana-396	176	16	that	that	PRON
cana-396	176	17	incorporate	incorporate	VERB
cana-396	176	18	the	the	DET
cana-396	176	19	square	square	NOUN
cana-396	176	20	of	of	ADP
cana-396	176	21	\mathbit{\xi	\mathbit{\xi	NOUN
cana-396	176	22	}	}	PUNCT
cana-396	176	23	or	or	CCONJ
cana-396	176	24	the	the	DET
cana-396	176	25	subsidiary	subsidiary	NOUN
cana-396	176	26	of	of	ADP
cana-396	176	27	a	a	DET
cana-396	176	28	square	square	NOUN
cana-396	176	29	of	of	ADP
cana-396	176	30	\mathbit{\xi	\mathbit{\xi	NOUN
cana-396	176	31	}	}	PUNCT
cana-396	176	32	can	can	AUX
cana-396	176	33	be	be	AUX
cana-396	176	34	ignored	ignore	VERB
cana-396	176	35	,	,	PUNCT
cana-396	176	36	and	and	CCONJ
cana-396	176	37	subsequently	subsequently	ADV
cana-396	176	38	:	:	PUNCT
cana-396	177	1	〈	〈	PROPN
cana-396	177	2	𝑭(𝒙	𝑭(𝒙	X
cana-396	177	3	)	)	PUNCT
cana-396	177	4	,	,	PUNCT
cana-396	177	5	𝝃(𝒙	𝝃(𝒙	NOUN
cana-396	177	6	)	)	PUNCT
cana-396	177	7	〉	〉	NOUN
cana-396	177	8	=	=	SYM
cana-396	177	9	−𝑻	−𝑻	PROPN
cana-396	177	10	∫	∫	NOUN
cana-396	177	11	𝝏𝒖	𝝏𝒖	X
cana-396	177	12	𝝏𝒙	𝝏𝒙	PUNCT
cana-396	177	13	𝑻	𝑻	PROPN
cana-396	177	14	𝟎	𝟎	ADJ
cana-396	177	15	𝝏𝝃	𝝏𝝃	NOUN
cana-396	177	16	𝝏𝒙	𝝏𝒙	PUNCT
cana-396	177	17	𝒅𝒙	𝒅𝒙	X
cana-396	177	18	(	(	PUNCT
cana-396	177	19	𝟏𝟕	𝟏𝟕	NUM
cana-396	177	20	)	)	PUNCT
cana-396	177	21	parts	part	NOUN
cana-396	177	22	integration	integration	NOUN
cana-396	177	23	results	result	NOUN
cana-396	177	24	in	in	ADP
cana-396	177	25	〈	〈	NOUN
cana-396	177	26	𝑭(𝒙	𝑭(𝒙	NOUN
cana-396	177	27	)	)	PUNCT
cana-396	177	28	,	,	PUNCT
cana-396	177	29	𝝃(𝒙	𝝃(𝒙	NOUN
cana-396	177	30	)	)	PUNCT
cana-396	177	31	〉	〉	NOUN
cana-396	177	32	=	=	SYM
cana-396	177	33	−𝑻	−𝑻	PROPN
cana-396	177	34	∫	∫	PROPN
cana-396	178	1	𝝏𝟐𝒖	𝝏𝟐𝒖	PROPN
cana-396	178	2	𝝏𝒙𝟐	𝝏𝒙𝟐	PROPN
cana-396	178	3	𝑻	𝑻	PROPN
cana-396	178	4	𝟎	𝟎	NUM
cana-396	178	5	𝝃(𝒙)𝒅𝒙	𝝃(𝒙)𝒅𝒙	NUM
cana-396	178	6	−	−	PROPN
cana-396	178	7	𝑻	𝑻	PROPN
cana-396	178	8	(	(	PUNCT
cana-396	178	9	𝝏𝒖	𝝏𝒖	X
cana-396	178	10	𝝏𝒙	𝝏𝒙	PUNCT
cana-396	178	11	𝝃	𝝃	NOUN
cana-396	178	12	)	)	PUNCT
cana-396	178	13	(	(	PUNCT
cana-396	178	14	𝑳	𝑳	NOUN
cana-396	178	15	)	)	PUNCT
cana-396	178	16	−	−	PROPN
cana-396	178	17	𝑻	𝑻	PROPN
cana-396	178	18	(	(	PUNCT
cana-396	178	19	𝝏𝒖	𝝏𝒖	X
cana-396	178	20	𝝏𝒙	𝝏𝒙	PUNCT
cana-396	178	21	𝝃	𝝃	NOUN
cana-396	178	22	)	)	PUNCT
cana-396	178	23	(	(	PUNCT
cana-396	178	24	𝟎	𝟎	NOUN
cana-396	178	25	)	)	PUNCT
cana-396	178	26	(	(	PUNCT
cana-396	178	27	𝟏𝟖	𝟏𝟖	NUM
cana-396	178	28	)	)	PUNCT
cana-396	178	29	since	since	SCONJ
cana-396	178	30	.	.	PUNCT
cana-396	179	1	𝜉(0	𝜉(0	NOUN
cana-396	179	2	)	)	PUNCT
cana-396	179	3	=	=	SYM
cana-396	179	4	𝜉(𝐿	𝜉(𝐿	NOUN
cana-396	179	5	)	)	PUNCT
cana-396	180	1	=	=	SYM
cana-396	180	2	0	0	NUM
cana-396	181	1	we	we	PRON
cana-396	181	2	conclude	conclude	VERB
cana-396	181	3	that	that	SCONJ
cana-396	181	4	∫	∫	PROPN
cana-396	181	5	𝑭(𝒙)𝝃(𝒙)𝒅𝒙	𝑭(𝒙)𝝃(𝒙)𝒅𝒙	X
cana-396	181	6	=	=	SYM
cana-396	181	7	〈	〈	NOUN
cana-396	181	8	𝑭(𝒙	𝑭(𝒙	NOUN
cana-396	181	9	)	)	PUNCT
cana-396	181	10	,	,	PUNCT
cana-396	181	11	𝝃(𝒙	𝝃(𝒙	NOUN
cana-396	181	12	)	)	PUNCT
cana-396	181	13	〉	〉	NOUN
cana-396	181	14	=	=	SYM
cana-396	181	15	𝑻	𝑻	PROPN
cana-396	181	16	∫	∫	NOUN
cana-396	181	17	𝝏𝟐𝒖	𝝏𝟐𝒖	VERB
cana-396	181	18	𝝏𝒙𝟐	𝝏𝒙𝟐	NOUN
cana-396	181	19	𝑳	𝑳	NOUN
cana-396	181	20	𝟎	𝟎	NUM
cana-396	181	21	𝑳	𝑳	X
cana-396	181	22	𝟎	𝟎	NUM
cana-396	181	23	𝝃(𝒙)𝒅𝒙	𝝃(𝒙)𝒅𝒙	NUM
cana-396	181	24	(	(	PUNCT
cana-396	181	25	𝟏𝟗	𝟏𝟗	NUM
cana-396	181	26	)	)	PUNCT
cana-396	181	27	given	give	VERB
cana-396	181	28	that	that	SCONJ
cana-396	181	29	this	this	DET
cana-396	181	30	formula	formula	NOUN
cana-396	181	31	is	be	AUX
cana-396	181	32	applicable	applicable	ADJ
cana-396	181	33	to	to	ADP
cana-396	181	34	all	all	DET
cana-396	181	35	minuscule	minuscule	ADJ
cana-396	181	36	displacements	displacement	NOUN
cana-396	181	37	𝝃(𝒙	𝝃(𝒙	PROPN
cana-396	181	38	)	)	PUNCT
cana-396	181	39	,	,	PUNCT
cana-396	181	40	we	we	PRON
cana-396	181	41	must	must	AUX
cana-396	181	42	have	have	VERB
cana-396	181	43	𝑭(𝒙	𝑭(𝒙	NOUN
cana-396	181	44	)	)	PUNCT
cana-396	181	45	=	=	SYM
cana-396	181	46	𝑻	𝑻	PROPN
cana-396	181	47	𝝏𝟐𝒖	𝝏𝟐𝒖	VERB
cana-396	181	48	𝝏𝒙𝟐	𝝏𝒙𝟐	X
cana-396	181	49	(	(	PUNCT
cana-396	181	50	𝟐𝟎	𝟐𝟎	NUM
cana-396	181	51	)	)	PUNCT
cana-396	181	52	regarding	regard	VERB
cana-396	181	53	the	the	DET
cana-396	181	54	force	force	NOUN
cana-396	181	55	density	density	NOUN
cana-396	181	56	per	per	ADP
cana-396	181	57	length	length	NOUN
cana-396	181	58	unit	unit	NOUN
cana-396	181	59	.	.	PUNCT
cana-396	182	1	8	8	NUM
cana-396	182	2	.	.	X
cana-396	182	3	fluid	fluid	ADJ
cana-396	182	4	mechanics	mechanic	NOUN
cana-396	182	5	the	the	DET
cana-396	182	6	study	study	NOUN
cana-396	182	7	of	of	ADP
cana-396	182	8	fluid	fluid	ADJ
cana-396	182	9	mechanics	mechanic	NOUN
cana-396	182	10	was	be	AUX
cana-396	182	11	worried	worried	ADJ
cana-396	182	12	about	about	ADP
cana-396	182	13	how	how	SCONJ
cana-396	182	14	fluids	fluid	NOUN
cana-396	182	15	answered	answer	VERB
cana-396	182	16	powers	power	NOUN
cana-396	182	17	applied	apply	VERB
cana-396	182	18	on	on	ADP
cana-396	182	19	them	they	PRON
cana-396	182	20	.	.	PUNCT
cana-396	183	1	it	it	PRON
cana-396	183	2	is	be	AUX
cana-396	183	3	a	a	DET
cana-396	183	4	part	part	NOUN
cana-396	183	5	of	of	ADP
cana-396	183	6	regular	regular	ADJ
cana-396	183	7	physics	physics	NOUN
cana-396	183	8	and	and	CCONJ
cana-396	183	9	is	be	AUX
cana-396	183	10	fundamental	fundamental	ADJ
cana-396	183	11	for	for	ADP
cana-396	183	12	manufactured	manufacture	VERB
cana-396	183	13	,	,	PUNCT
cana-396	183	14	pressure	pressure	NOUN
cana-396	183	15	-	-	PUNCT
cana-396	183	16	driven	drive	VERB
cana-396	183	17	,	,	PUNCT
cana-396	183	18	aeronautical	aeronautical	NOUN
cana-396	183	19	,	,	PUNCT
cana-396	183	20	meteorological	meteorological	ADJ
cana-396	183	21	,	,	PUNCT
cana-396	183	22	and	and	CCONJ
cana-396	183	23	zoological	zoological	ADJ
cana-396	183	24	plan	plan	NOUN
cana-396	183	25	.	.	PUNCT
cana-396	184	1	water	water	NOUN
cana-396	184	2	is	be	AUX
cana-396	184	3	,	,	PUNCT
cana-396	184	4	obviously	obviously	ADV
cana-396	184	5	,	,	PUNCT
cana-396	184	6	the	the	DET
cana-396	184	7	most	most	ADV
cana-396	184	8	regular	regular	ADJ
cana-396	184	9	fluid	fluid	NOUN
cana-396	184	10	,	,	PUNCT
cana-396	184	11	and	and	CCONJ
cana-396	184	12	the	the	DET
cana-396	184	13	point	point	NOUN
cana-396	184	14	would	would	AUX
cana-396	184	15	have	have	AUX
cana-396	184	16	been	be	AUX
cana-396	184	17	covered	cover	VERB
cana-396	184	18	under	under	ADP
cana-396	184	19	the	the	DET
cana-396	184	20	different	different	ADJ
cana-396	184	21	segments	segment	NOUN
cana-396	184	22	of	of	ADP
cana-396	184	23	hydrostatics	hydrostatic	NOUN
cana-396	184	24	—	—	PUNCT
cana-396	184	25	the	the	DET
cana-396	184	26	investigation	investigation	NOUN
cana-396	184	27	of	of	ADP
cana-396	184	28	very	very	ADV
cana-396	184	29	still	still	ADV
cana-396	184	30	water	water	NOUN
cana-396	184	31	—	—	PUNCT
cana-396	184	32	and	and	CCONJ
cana-396	184	33	hydrodynamics	hydrodynamic	NOUN
cana-396	184	34	—	—	PUNCT
cana-396	184	35	the	the	DET
cana-396	184	36	investigation	investigation	NOUN
cana-396	184	37	of	of	ADP
cana-396	184	38	moving	move	VERB
cana-396	184	39	water	water	NOUN
cana-396	184	40	—	—	PUNCT
cana-396	184	41	in	in	ADP
cana-396	184	42	a	a	DET
cana-396	184	43	nineteenth	nineteenth	ADJ
cana-396	184	44	-	-	PUNCT
cana-396	184	45	century	century	NOUN
cana-396	184	46	reference	reference	NOUN
cana-396	184	47	book	book	NOUN
cana-396	184	48	.	.	PUNCT
cana-396	185	1	hydrostatics	hydrostatics	PROPN
cana-396	185	2	was	be	AUX
cana-396	185	3	concocted	concoct	VERB
cana-396	185	4	by	by	ADP
cana-396	185	5	archimedes	archimede	NOUN
cana-396	185	6	in	in	ADP
cana-396	185	7	250	250	NUM
cana-396	185	8	bc	bc	NOUN
cana-396	185	9	,	,	PUNCT
cana-396	185	10	while	while	SCONJ
cana-396	185	11	,	,	PUNCT
cana-396	185	12	as	as	ADP
cana-396	185	13	per	per	ADP
cana-396	185	14	folklore	folklore	NOUN
cana-396	185	15	,	,	PUNCT
cana-396	185	16	he	he	PRON
cana-396	185	17	sprung	spring	VERB
cana-396	185	18	from	from	ADP
cana-396	185	19	his	his	PRON
cana-396	185	20	shower	shower	NOUN
cana-396	185	21	and	and	CCONJ
cana-396	185	22	ran	run	VERB
cana-396	185	23	uncovered	uncover	VERB
cana-396	185	24	through	through	ADP
cana-396	185	25	the	the	DET
cana-396	185	26	roads	road	NOUN
cana-396	185	27	of	of	ADP
cana-396	185	28	syracuse	syracuse	PROPN
cana-396	185	29	,	,	PUNCT
cana-396	185	30	shouting	shout	VERB
cana-396	185	31	"	"	PUNCT
cana-396	185	32	aha	aha	INTJ
cana-396	185	33	!	!	PUNCT
cana-396	185	34	"	"	PUNCT
cana-396	186	1	from	from	ADP
cana-396	186	2	that	that	DET
cana-396	186	3	point	point	NOUN
cana-396	186	4	forward	forward	ADV
cana-396	186	5	,	,	PUNCT
cana-396	186	6	it	it	PRON
cana-396	186	7	has	have	AUX
cana-396	186	8	n't	not	PART
cana-396	186	9	progressed	progress	VERB
cana-396	186	10	a	a	DET
cana-396	186	11	lot	lot	NOUN
cana-396	186	12	of	of	ADP
cana-396	186	13	that	that	DET
cana-396	186	14	much	much	ADJ
cana-396	186	15	.	.	PUNCT
cana-396	187	1	the	the	DET
cana-396	187	2	groundworks	groundwork	NOUN
cana-396	187	3	of	of	ADP
cana-396	187	4	hydrodynamics	hydrodynamic	NOUN
cana-396	187	5	,	,	PUNCT
cana-396	187	6	then	then	ADV
cana-396	187	7	again	again	ADV
cana-396	187	8	,	,	PUNCT
cana-396	187	9	were	be	AUX
cana-396	187	10	not	not	PART
cana-396	187	11	laid	lay	VERB
cana-396	187	12	out	out	ADP
cana-396	187	13	until	until	ADP
cana-396	187	14	the	the	DET
cana-396	187	15	eighteenth	eighteenth	ADJ
cana-396	187	16	hundred	hundred	NUM
cana-396	187	17	years	year	NOUN
cana-396	187	18	,	,	PUNCT
cana-396	187	19	when	when	SCONJ
cana-396	187	20	mathematicians	mathematician	NOUN
cana-396	187	21	,	,	PUNCT
cana-396	187	22	for	for	ADP
cana-396	187	23	example	example	NOUN
cana-396	187	24	,	,	PUNCT
cana-396	187	25	leonhard	leonhard	PROPN
cana-396	187	26	euler	euler	PROPN
cana-396	187	27	and	and	CCONJ
cana-396	187	28	daniel	daniel	PROPN
cana-396	187	29	bernoulli	bernoulli	PROPN
cana-396	187	30	started	start	VERB
cana-396	187	31	to	to	PART
cana-396	187	32	concentrate	concentrate	VERB
cana-396	187	33	on	on	ADP
cana-396	187	34	the	the	DET
cana-396	187	35	results	result	NOUN
cana-396	187	36	of	of	ADP
cana-396	187	37	serious	serious	ADJ
cana-396	187	38	areas	area	NOUN
cana-396	187	39	of	of	ADP
cana-396	187	40	strength	strength	NOUN
cana-396	187	41	for	for	ADP
cana-396	187	42	the	the	PRON
cana-396	187	43	that	that	DET
cana-396	187	44	newton	newton	PROPN
cana-396	187	45	had	have	AUX
cana-396	187	46	created	create	VERB
cana-396	187	47	for	for	ADP
cana-396	187	48	frameworks	framework	NOUN
cana-396	187	49	made	make	VERB
cana-396	187	50	out	out	ADP
cana-396	187	51	of	of	ADP
cana-396	187	52	discrete	discrete	ADJ
cana-396	187	53	particles	particle	NOUN
cana-396	187	54	for	for	ADP
cana-396	187	55	a	a	DET
cana-396	187	56	basically	basically	ADV
cana-396	187	57	boundless	boundless	ADJ
cana-396	187	58	medium	medium	ADJ
cana-396	187	59	like	like	ADP
cana-396	187	60	water	water	NOUN
cana-396	187	61	.	.	PUNCT
cana-396	188	1	a	a	DET
cana-396	188	2	couple	couple	NOUN
cana-396	188	3	of	of	ADP
cana-396	188	4	noticeable	noticeable	ADJ
cana-396	188	5	mathematicians	mathematician	NOUN
cana-396	188	6	and	and	CCONJ
cana-396	188	7	physicists	physicist	NOUN
cana-396	188	8	of	of	ADP
cana-396	188	9	the	the	DET
cana-396	188	10	nineteenth	nineteenth	ADJ
cana-396	188	11	100	100	NUM
cana-396	188	12	years	year	NOUN
cana-396	188	13	,	,	PUNCT
cana-396	188	14	including	include	VERB
cana-396	188	15	g.g	g.g	PROPN
cana-396	188	16	.	.	PROPN
cana-396	188	17	stirsup	stirsup	PROPN
cana-396	188	18	and	and	CCONJ
cana-396	188	19	william	william	PROPN
cana-396	188	20	thomson	thomson	PROPN
cana-396	188	21	,	,	PUNCT
cana-396	188	22	proceeded	proceed	VERB
cana-396	188	23	with	with	ADP
cana-396	188	24	their	their	PRON
cana-396	188	25	work	work	NOUN
cana-396	188	26	.	.	PUNCT
cana-396	189	1	before	before	ADP
cana-396	189	2	the	the	DET
cana-396	189	3	turn	turn	NOUN
cana-396	189	4	of	of	ADP
cana-396	189	5	the	the	DET
cana-396	189	6	100	100	NUM
cana-396	189	7	years	year	NOUN
cana-396	189	8	,	,	PUNCT
cana-396	189	9	clarifications	clarification	NOUN
cana-396	189	10	had	have	AUX
cana-396	189	11	been	be	AUX
cana-396	189	12	found	find	VERB
cana-396	189	13	for	for	ADP
cana-396	189	14	many	many	ADJ
cana-396	189	15	entrancing	entrancing	ADJ
cana-396	189	16	peculiarities	peculiarity	NOUN
cana-396	189	17	connecting	connect	VERB
cana-396	189	18	with	with	ADP
cana-396	189	19	the	the	DET
cana-396	189	20	development	development	NOUN
cana-396	189	21	of	of	ADP
cana-396	189	22	water	water	NOUN
cana-396	189	23	through	through	ADP
cana-396	189	24	chambers	chamber	NOUN
cana-396	189	25	and	and	CCONJ
cana-396	189	26	gaps	gap	NOUN
cana-396	189	27	,	,	PUNCT
cana-396	189	28	the	the	DET
cana-396	189	29	waves	wave	NOUN
cana-396	189	30	that	that	SCONJ
cana-396	189	31	passing	pass	VERB
cana-396	189	32	boats	boat	NOUN
cana-396	189	33	leave	leave	VERB
cana-396	189	34	,	,	PUNCT
cana-396	189	35	raindrops	raindrop	NOUN
cana-396	189	36	on	on	ADP
cana-396	189	37	windowpanes	windowpane	NOUN
cana-396	189	38	,	,	PUNCT
cana-396	189	39	and	and	CCONJ
cana-396	189	40	other	other	ADJ
cana-396	189	41	such	such	ADJ
cana-396	189	42	peculiarities	peculiarity	NOUN
cana-396	189	43	.	.	PUNCT
cana-396	190	1	all	all	DET
cana-396	190	2	things	thing	NOUN
cana-396	190	3	considered	consider	VERB
cana-396	190	4	,	,	PUNCT
cana-396	190	5	there	there	PRON
cana-396	190	6	was	be	VERB
cana-396	190	7	still	still	ADV
cana-396	190	8	no	no	DET
cana-396	190	9	genuine	genuine	ADJ
cana-396	190	10	comprehension	comprehension	NOUN
cana-396	190	11	of	of	ADP
cana-396	190	12	the	the	DET
cana-396	190	13	central	central	ADJ
cana-396	190	14	issues	issue	NOUN
cana-396	190	15	with	with	ADP
cana-396	190	16	water	water	NOUN
cana-396	190	17	streaming	streaming	NOUN
cana-396	190	18	beyond	beyond	ADP
cana-396	190	19	a	a	DET
cana-396	190	20	sensible	sensible	ADJ
cana-396	190	21	check	check	NOUN
cana-396	190	22	and	and	CCONJ
cana-396	190	23	applying	apply	VERB
cana-396	190	24	a	a	DET
cana-396	190	25	drag	drag	NOUN
cana-396	190	26	force	force	NOUN
cana-396	190	27	on	on	ADP
cana-396	190	28	it	it	PRON
cana-396	190	29	;	;	PUNCT
cana-396	190	30	the	the	DET
cana-396	190	31	normal	normal	ADJ
cana-396	190	32	stream	stream	NOUN
cana-396	190	33	speculation	speculation	NOUN
cana-396	190	34	,	,	PUNCT
cana-396	190	35	which	which	PRON
cana-396	190	36	worked	work	VERB
cana-396	190	37	brilliantly	brilliantly	ADV
cana-396	190	38	in	in	ADP
cana-396	190	39	different	different	ADJ
cana-396	190	40	settings	setting	NOUN
cana-396	190	41	,	,	PUNCT
cana-396	190	42	delivered	deliver	VERB
cana-396	190	43	results	result	NOUN
cana-396	190	44	that	that	PRON
cana-396	190	45	terribly	terribly	ADV
cana-396	190	46	varied	varied	ADJ
cana-396	190	47	with	with	ADP
cana-396	190	48	investigation	investigation	NOUN
cana-396	190	49	at	at	ADP
cana-396	190	50	decently	decently	ADV
cana-396	190	51	high	high	ADJ
cana-396	190	52	stream	stream	NOUN
cana-396	190	53	rates	rate	NOUN
cana-396	190	54	.	.	PUNCT
cana-396	191	1	the	the	DET
cana-396	191	2	idea	idea	NOUN
cana-396	191	3	of	of	ADP
cana-396	191	4	the	the	DET
cana-396	191	5	cutoff	cutoff	NOUN
cana-396	191	6	layer	layer	NOUN
cana-396	191	7	was	be	AUX
cana-396	191	8	presented	present	VERB
cana-396	191	9	by	by	ADP
cana-396	191	10	the	the	DET
cana-396	191	11	german	german	ADJ
cana-396	191	12	researcher	researcher	NOUN
cana-396	191	13	ludwig	ludwig	PROPN
cana-396	191	14	prandtl	prandtl	NOUN
cana-396	191	15	in	in	ADP
cana-396	191	16	1904	1904	NUM
cana-396	191	17	,	,	PUNCT
cana-396	191	18	which	which	PRON
cana-396	191	19	was	be	AUX
cana-396	191	20	the	the	DET
cana-396	191	21	expected	expect	VERB
cana-396	191	22	time	time	NOUN
cana-396	191	23	for	for	SCONJ
cana-396	191	24	this	this	DET
cana-396	191	25	issue	issue	NOUN
cana-396	191	26	to	to	PART
cana-396	191	27	be	be	AUX
cana-396	191	28	figured	figure	VERB
cana-396	191	29	out	out	ADP
cana-396	191	30	(	(	PUNCT
cana-396	191	31	see	see	VERB
cana-396	191	32	underneath	underneath	ADP
cana-396	191	33	hydrodynamics	hydrodynamic	NOUN
cana-396	191	34	:	:	PUNCT
cana-396	191	35	breaking	break	VERB
cana-396	191	36	point	point	NOUN
cana-396	191	37	layers	layer	NOUN
cana-396	191	38	and	and	CCONJ
cana-396	191	39	division	division	NOUN
cana-396	191	40	)	)	PUNCT
cana-396	191	41	.	.	PUNCT
cana-396	192	1	prandtl	prandtl	PROPN
cana-396	192	2	's	's	PART
cana-396	192	3	vocation	vocation	NOUN
cana-396	192	4	went	go	VERB
cana-396	192	5	on	on	ADP
cana-396	192	6	at	at	ADP
cana-396	192	7	the	the	DET
cana-396	192	8	time	time	NOUN
cana-396	192	9	that	that	PRON
cana-396	192	10	the	the	DET
cana-396	192	11	essential	essential	ADJ
cana-396	192	12	observed	observed	ADJ
cana-396	192	13	airplane	airplane	NOUN
cana-396	192	14	were	be	AUX
cana-396	192	15	communications	communication	NOUN
cana-396	192	16	on	on	ADP
cana-396	192	17	applied	apply	VERB
cana-396	192	18	nonlinear	nonlinear	ADJ
cana-396	192	19	analysis	analysis	NOUN
cana-396	192	20	issn	issn	NOUN
cana-396	192	21	:	:	PUNCT
cana-396	192	22	1074	1074	NUM
cana-396	192	23	-	-	PUNCT
cana-396	192	24	133x	133x	NUM
cana-396	192	25	vol	vol	NOUN
cana-396	192	26	31	31	NUM
cana-396	192	27	no	no	NOUN
cana-396	192	28	.	.	NOUN
cana-396	192	29	1	1	NUM
cana-396	192	30	(	(	PUNCT
cana-396	192	31	2024	2024	NUM
cana-396	192	32	)	)	PUNCT
cana-396	192	33	216	216	NUM
cana-396	192	34	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-396	192	35	created	create	VERB
cana-396	192	36	.	.	PUNCT
cana-396	193	1	from	from	ADP
cana-396	193	2	that	that	DET
cana-396	193	3	point	point	NOUN
cana-396	193	4	forward	forward	ADV
cana-396	193	5	,	,	PUNCT
cana-396	193	6	physicists	physicist	NOUN
cana-396	193	7	and	and	CCONJ
cana-396	193	8	specialists	specialist	NOUN
cana-396	193	9	have	have	AUX
cana-396	193	10	become	become	VERB
cana-396	193	11	similarly	similarly	ADV
cana-396	193	12	keen	keen	ADJ
cana-396	193	13	on	on	ADP
cana-396	193	14	the	the	DET
cana-396	193	15	development	development	NOUN
cana-396	193	16	of	of	ADP
cana-396	193	17	air	air	NOUN
cana-396	193	18	as	as	SCONJ
cana-396	193	19	they	they	PRON
cana-396	193	20	have	have	VERB
cana-396	193	21	in	in	ADP
cana-396	193	22	the	the	DET
cana-396	193	23	development	development	NOUN
cana-396	193	24	of	of	ADP
cana-396	193	25	water	water	NOUN
cana-396	193	26	,	,	PUNCT
cana-396	193	27	prompting	prompt	VERB
cana-396	193	28	the	the	DET
cana-396	193	29	fluid	fluid	ADJ
cana-396	193	30	components	component	NOUN
cana-396	193	31	of	of	ADP
cana-396	193	32	hydrodynamics	hydrodynamic	NOUN
cana-396	193	33	.	.	PUNCT
cana-396	194	1	in	in	ADP
cana-396	194	2	this	this	DET
cana-396	194	3	unique	unique	ADJ
cana-396	194	4	circumstance	circumstance	NOUN
cana-396	194	5	,	,	PUNCT
cana-396	194	6	"	"	PUNCT
cana-396	194	7	fluid	fluid	ADJ
cana-396	194	8	mechanics	mechanic	NOUN
cana-396	194	9	"	"	PUNCT
cana-396	194	10	alludes	allude	VERB
cana-396	194	11	to	to	ADP
cana-396	194	12	both	both	PRON
cana-396	194	13	of	of	ADP
cana-396	194	14	the	the	DET
cana-396	194	15	fluid	fluid	ADJ
cana-396	194	16	perspectives	perspective	NOUN
cana-396	194	17	that	that	PRON
cana-396	194	18	are	be	AUX
cana-396	194	19	still	still	ADV
cana-396	194	20	regularly	regularly	ADV
cana-396	194	21	utilized	utilize	VERB
cana-396	194	22	comparable	comparable	ADJ
cana-396	194	23	to	to	ADP
cana-396	194	24	hydrostatics	hydrostatic	NOUN
cana-396	194	25	.	.	PUNCT
cana-396	195	1	aside	aside	ADV
cana-396	195	2	from	from	ADP
cana-396	195	3	prandtl	prandtl	NOUN
cana-396	195	4	,	,	PUNCT
cana-396	195	5	another	another	DET
cana-396	195	6	20th	20th	ADJ
cana-396	195	7	century	century	NOUN
cana-396	195	8	specialist	specialist	NOUN
cana-396	195	9	worth	worth	ADJ
cana-396	195	10	focusing	focus	VERB
cana-396	195	11	on	on	ADP
cana-396	195	12	is	be	AUX
cana-396	195	13	the	the	DET
cana-396	195	14	english	english	PROPN
cana-396	195	15	geoffrey	geoffrey	PROPN
cana-396	195	16	taylor	taylor	PROPN
cana-396	195	17	.	.	PUNCT
cana-396	196	1	while	while	SCONJ
cana-396	196	2	a	a	DET
cana-396	196	3	large	large	ADJ
cana-396	196	4	portion	portion	NOUN
cana-396	196	5	of	of	ADP
cana-396	196	6	his	his	PRON
cana-396	196	7	friends	friend	NOUN
cana-396	196	8	were	be	AUX
cana-396	196	9	concentrating	concentrate	VERB
cana-396	196	10	on	on	ADP
cana-396	196	11	issues	issue	NOUN
cana-396	196	12	connected	connect	VERB
cana-396	196	13	with	with	ADP
cana-396	196	14	quantum	quantum	ADJ
cana-396	196	15	mechanics	mechanic	NOUN
cana-396	196	16	and	and	CCONJ
cana-396	196	17	atomic	atomic	ADJ
cana-396	196	18	plan	plan	NOUN
cana-396	196	19	,	,	PUNCT
cana-396	196	20	taylor	taylor	PROPN
cana-396	196	21	stayed	stay	VERB
cana-396	196	22	an	an	DET
cana-396	196	23	old	old	ADJ
cana-396	196	24	fashioned	fashioned	ADJ
cana-396	196	25	physicist	physicist	NOUN
cana-396	196	26	and	and	CCONJ
cana-396	196	27	delivered	deliver	VERB
cana-396	196	28	a	a	DET
cana-396	196	29	few	few	ADJ
cana-396	196	30	stunning	stunning	ADJ
cana-396	196	31	however	however	ADV
cana-396	196	32	significant	significant	ADJ
cana-396	196	33	disclosures	disclosure	NOUN
cana-396	196	34	in	in	ADP
cana-396	196	35	fluid	fluid	ADJ
cana-396	196	36	elements	element	NOUN
cana-396	196	37	.	.	PUNCT
cana-396	197	1	the	the	DET
cana-396	197	2	primary	primary	ADJ
cana-396	197	3	equation	equation	NOUN
cana-396	197	4	overseeing	oversee	VERB
cana-396	197	5	the	the	DET
cana-396	197	6	progression	progression	NOUN
cana-396	197	7	of	of	ADP
cana-396	197	8	fluids	fluid	NOUN
cana-396	197	9	contains	contain	VERB
cana-396	197	10	a	a	DET
cana-396	197	11	nonlinear	nonlinear	ADJ
cana-396	197	12	component	component	NOUN
cana-396	197	13	that	that	PRON
cana-396	197	14	integrates	integrate	VERB
cana-396	197	15	the	the	DET
cana-396	197	16	fluid	fluid	ADJ
cana-396	197	17	speed	speed	NOUN
cana-396	197	18	two	two	NUM
cana-396	197	19	times	time	NOUN
cana-396	197	20	got	get	AUX
cana-396	197	21	done	do	VERB
cana-396	197	22	,	,	PUNCT
cana-396	197	23	which	which	PRON
cana-396	197	24	is	be	AUX
cana-396	197	25	generally	generally	ADV
cana-396	197	26	liable	liable	ADJ
cana-396	197	27	for	for	ADP
cana-396	197	28	the	the	DET
cana-396	197	29	richness	richness	NOUN
cana-396	197	30	of	of	ADP
cana-396	197	31	fluid	fluid	ADJ
cana-396	197	32	mechanics	mechanic	NOUN
cana-396	197	33	.	.	PUNCT
cana-396	198	1	nonlinear	nonlinear	ADJ
cana-396	198	2	equations	equation	NOUN
cana-396	198	3	here	here	ADV
cana-396	198	4	and	and	CCONJ
cana-396	198	5	there	there	PRON
cana-396	198	6	address	address	VERB
cana-396	198	7	systems	system	NOUN
cana-396	198	8	that	that	PRON
cana-396	198	9	,	,	PUNCT
cana-396	198	10	in	in	ADP
cana-396	198	11	specific	specific	ADJ
cana-396	198	12	circumstances	circumstance	NOUN
cana-396	198	13	,	,	PUNCT
cana-396	198	14	become	become	VERB
cana-396	198	15	temperamental	temperamental	ADJ
cana-396	198	16	and	and	CCONJ
cana-396	198	17	start	start	VERB
cana-396	198	18	to	to	PART
cana-396	198	19	act	act	VERB
cana-396	198	20	in	in	ADP
cana-396	198	21	manners	manner	NOUN
cana-396	198	22	that	that	PRON
cana-396	198	23	appear	appear	VERB
cana-396	198	24	to	to	PART
cana-396	198	25	be	be	AUX
cana-396	198	26	stunningly	stunningly	ADV
cana-396	198	27	wild	wild	ADJ
cana-396	198	28	immediately	immediately	ADV
cana-396	198	29	.	.	PUNCT
cana-396	199	1	on	on	ADP
cana-396	199	2	account	account	NOUN
cana-396	199	3	of	of	ADP
cana-396	199	4	fluids	fluid	NOUN
cana-396	199	5	,	,	PUNCT
cana-396	199	6	inconsistent	inconsistent	ADJ
cana-396	199	7	way	way	NOUN
cana-396	199	8	of	of	ADP
cana-396	199	9	behaving	behaving	NOUN
cana-396	199	10	is	be	AUX
cana-396	199	11	somewhat	somewhat	ADV
cana-396	199	12	normal	normal	ADJ
cana-396	199	13	and	and	CCONJ
cana-396	199	14	is	be	AUX
cana-396	199	15	alluded	allude	VERB
cana-396	199	16	to	to	ADP
cana-396	199	17	as	as	ADP
cana-396	199	18	interruption	interruption	NOUN
cana-396	199	19	.	.	PUNCT
cana-396	200	1	it	it	PRON
cana-396	200	2	is	be	AUX
cana-396	200	3	currently	currently	ADV
cana-396	200	4	feasible	feasible	ADJ
cana-396	200	5	for	for	ADP
cana-396	200	6	mathematicians	mathematician	NOUN
cana-396	200	7	to	to	PART
cana-396	200	8	distinguish	distinguish	VERB
cana-396	200	9	designs	design	NOUN
cana-396	200	10	in	in	ADP
cana-396	200	11	disarray	disarray	NOUN
cana-396	200	12	that	that	PRON
cana-396	200	13	can	can	AUX
cana-396	200	14	be	be	AUX
cana-396	200	15	examined	examine	VERB
cana-396	200	16	and	and	CCONJ
cana-396	200	17	utilized	utilize	VERB
cana-396	200	18	,	,	PUNCT
cana-396	200	19	and	and	CCONJ
cana-396	200	20	this	this	DET
cana-396	200	21	improvement	improvement	NOUN
cana-396	200	22	proposes	propose	VERB
cana-396	200	23	that	that	SCONJ
cana-396	200	24	fluid	fluid	ADJ
cana-396	200	25	mechanics	mechanic	NOUN
cana-396	200	26	will	will	AUX
cana-396	200	27	keep	keep	VERB
cana-396	200	28	on	on	ADP
cana-396	200	29	being	be	AUX
cana-396	200	30	an	an	DET
cana-396	200	31	energetic	energetic	ADJ
cana-396	200	32	subject	subject	NOUN
cana-396	200	33	of	of	ADP
cana-396	200	34	concentrate	concentrate	NOUN
cana-396	200	35	long	long	ADV
cana-396	200	36	into	into	ADP
cana-396	200	37	the	the	DET
cana-396	200	38	twenty	twenty	NUM
cana-396	200	39	-	-	PUNCT
cana-396	200	40	first	first	ADJ
cana-396	200	41	hundred	hundred	NUM
cana-396	200	42	years	year	NOUN
cana-396	200	43	.	.	PUNCT
cana-396	201	1	(	(	PUNCT
cana-396	201	2	for	for	ADP
cana-396	201	3	a	a	DET
cana-396	201	4	conversation	conversation	NOUN
cana-396	201	5	of	of	ADP
cana-396	201	6	the	the	DET
cana-396	201	7	idea	idea	NOUN
cana-396	201	8	of	of	ADP
cana-396	201	9	disturbance	disturbance	NOUN
cana-396	201	10	,	,	PUNCT
cana-396	201	11	see	see	VERB
cana-396	201	12	principles	principle	NOUN
cana-396	201	13	of	of	ADP
cana-396	201	14	genuine	genuine	ADJ
cana-396	201	15	science	science	NOUN
cana-396	201	16	.	.	PUNCT
cana-396	201	17	)	)	PUNCT
cana-396	202	1	the	the	DET
cana-396	202	2	writing	writing	NOUN
cana-396	202	3	on	on	ADP
cana-396	202	4	fluid	fluid	ADJ
cana-396	202	5	mechanics	mechanic	NOUN
cana-396	202	6	is	be	AUX
cana-396	202	7	basically	basically	ADV
cana-396	202	8	incoherent	incoherent	ADJ
cana-396	202	9	,	,	PUNCT
cana-396	202	10	and	and	CCONJ
cana-396	202	11	the	the	DET
cana-396	202	12	subject	subject	NOUN
cana-396	202	13	has	have	VERB
cana-396	202	14	for	for	ADP
cana-396	202	15	all	all	DET
cana-396	202	16	intents	intent	NOUN
cana-396	202	17	and	and	CCONJ
cana-396	202	18	purposes	purpose	NOUN
cana-396	202	19	wide	wide	ADJ
cana-396	202	20	consequences	consequence	NOUN
cana-396	202	21	.	.	PUNCT
cana-396	203	1	it	it	PRON
cana-396	203	2	will	will	AUX
cana-396	203	3	be	be	AUX
cana-396	203	4	important	important	ADJ
cana-396	203	5	to	to	PART
cana-396	203	6	have	have	VERB
cana-396	203	7	some	some	DET
cana-396	203	8	information	information	NOUN
cana-396	203	9	on	on	ADP
cana-396	203	10	the	the	DET
cana-396	203	11	essential	essential	ADJ
cana-396	203	12	qualities	quality	NOUN
cana-396	203	13	of	of	ADP
cana-396	203	14	fluids	fluid	NOUN
cana-396	203	15	;	;	PUNCT
cana-396	203	16	the	the	DET
cana-396	203	17	main	main	ADJ
cana-396	203	18	attributes	attribute	NOUN
cana-396	203	19	are	be	AUX
cana-396	203	20	summed	sum	VERB
cana-396	203	21	up	up	ADP
cana-396	203	22	in	in	ADP
cana-396	203	23	the	the	DET
cana-396	203	24	following	follow	VERB
cana-396	203	25	segment	segment	NOUN
cana-396	203	26	.	.	PUNCT
cana-396	204	1	see	see	VERB
cana-396	204	2	fluid	fluid	NOUN
cana-396	204	3	and	and	CCONJ
cana-396	204	4	thermodynamics	thermodynamic	NOUN
cana-396	204	5	for	for	ADP
cana-396	204	6	additional	additional	ADJ
cana-396	204	7	subtleties	subtlety	NOUN
cana-396	204	8	.	.	PUNCT
cana-396	205	1	9	9	X
cana-396	205	2	.	.	X
cana-396	205	3	history	history	NOUN
cana-396	205	4	of	of	ADP
cana-396	205	5	fluid	fluid	ADJ
cana-396	205	6	mechanics	mechanic	NOUN
cana-396	205	7	the	the	DET
cana-396	205	8	starting	starting	NOUN
cana-396	205	9	points	point	NOUN
cana-396	205	10	of	of	ADP
cana-396	205	11	fluid	fluid	ADJ
cana-396	205	12	mechanics	mechanic	NOUN
cana-396	205	13	can	can	AUX
cana-396	205	14	be	be	AUX
cana-396	205	15	followed	follow	VERB
cana-396	205	16	back	back	ADV
cana-396	205	17	to	to	ADP
cana-396	205	18	old	old	ADJ
cana-396	205	19	times	time	NOUN
cana-396	205	20	,	,	PUNCT
cana-396	205	21	when	when	SCONJ
cana-396	205	22	individuals	individual	NOUN
cana-396	205	23	initially	initially	ADV
cana-396	205	24	began	begin	VERB
cana-396	205	25	controlling	control	VERB
cana-396	205	26	fluids	fluid	NOUN
cana-396	205	27	to	to	PART
cana-396	205	28	suit	suit	VERB
cana-396	205	29	their	their	PRON
cana-396	205	30	necessities	necessity	NOUN
cana-396	205	31	.	.	PUNCT
cana-396	206	1	the	the	DET
cana-396	206	2	earliest	early	ADJ
cana-396	206	3	human	human	ADJ
cana-396	206	4	advancements	advancement	NOUN
cana-396	206	5	to	to	PART
cana-396	206	6	work	work	VERB
cana-396	206	7	with	with	ADP
cana-396	206	8	fluids	fluid	NOUN
cana-396	206	9	were	be	AUX
cana-396	206	10	probably	probably	ADV
cana-396	206	11	the	the	DET
cana-396	206	12	old	old	ADJ
cana-396	206	13	greeks	greeks	PROPN
cana-396	206	14	,	,	PUNCT
cana-396	206	15	egyptians	egyptians	PROPN
cana-396	206	16	,	,	PUNCT
cana-396	206	17	and	and	CCONJ
cana-396	206	18	romans	roman	NOUN
cana-396	206	19	.	.	PUNCT
cana-396	207	1	the	the	DET
cana-396	207	2	underlying	underlie	VERB
cana-396	207	3	foundations	foundation	NOUN
cana-396	207	4	of	of	ADP
cana-396	207	5	fluid	fluid	ADJ
cana-396	207	6	mechanics	mechanic	NOUN
cana-396	207	7	can	can	AUX
cana-396	207	8	be	be	AUX
cana-396	207	9	tracked	track	VERB
cana-396	207	10	down	down	ADP
cana-396	207	11	in	in	ADP
cana-396	207	12	old	old	ADJ
cana-396	207	13	greece	greece	PROPN
cana-396	207	14	,	,	PUNCT
cana-396	207	15	when	when	SCONJ
cana-396	207	16	archimedes	archimede	NOUN
cana-396	207	17	made	make	VERB
cana-396	207	18	critical	critical	ADJ
cana-396	207	19	commitments	commitment	NOUN
cana-396	207	20	to	to	ADP
cana-396	207	21	the	the	DET
cana-396	207	22	field	field	NOUN
cana-396	207	23	by	by	ADP
cana-396	207	24	concentrating	concentrate	VERB
cana-396	207	25	on	on	ADP
cana-396	207	26	fluid	fluid	ADJ
cana-396	207	27	statics	static	NOUN
cana-396	207	28	and	and	CCONJ
cana-396	207	29	softness	softness	NOUN
cana-396	207	30	.	.	PUNCT
cana-396	208	1	the	the	DET
cana-396	208	2	foundation	foundation	NOUN
cana-396	208	3	of	of	ADP
cana-396	208	4	archimedes	archimede	NOUN
cana-396	208	5	'	'	PART
cana-396	208	6	norm	norm	NOUN
cana-396	208	7	,	,	PUNCT
cana-396	208	8	fluid	fluid	ADJ
cana-396	208	9	mechanics	mechanic	NOUN
cana-396	208	10	,	,	PUNCT
cana-396	208	11	was	be	AUX
cana-396	208	12	worked	work	VERB
cana-396	208	13	out	out	ADP
cana-396	208	14	in	in	ADP
cana-396	208	15	his	his	PRON
cana-396	208	16	most	most	ADV
cana-396	208	17	memorable	memorable	ADJ
cana-396	208	18	book	book	NOUN
cana-396	208	19	,	,	PUNCT
cana-396	208	20	"	"	PUNCT
cana-396	208	21	on	on	ADP
cana-396	208	22	floating	float	VERB
cana-396	208	23	bodies	body	NOUN
cana-396	208	24	.	.	PUNCT
cana-396	208	25	"	"	PUNCT
cana-396	209	1	the	the	DET
cana-396	209	2	survey	survey	NOUN
cana-396	209	3	kept	keep	VERB
cana-396	209	4	on	on	ADP
cana-396	209	5	advancing	advance	VERB
cana-396	209	6	during	during	ADP
cana-396	209	7	the	the	DET
cana-396	209	8	islamic	islamic	ADJ
cana-396	209	9	splendid	splendid	ADJ
cana-396	209	10	age	age	NOUN
cana-396	209	11	when	when	SCONJ
cana-396	209	12	researchers	researcher	NOUN
cana-396	209	13	,	,	PUNCT
cana-396	209	14	for	for	ADP
cana-396	209	15	example	example	NOUN
cana-396	209	16	,	,	PUNCT
cana-396	209	17	abu	abu	PROPN
cana-396	209	18	rayhan	rayhan	PROPN
cana-396	209	19	biruni	biruni	PROPN
cana-396	209	20	and	and	CCONJ
cana-396	209	21	al	al	PROPN
cana-396	209	22	-	-	PUNCT
cana-396	209	23	khazini	khazini	NOUN
cana-396	209	24	utilized	utilize	VERB
cana-396	209	25	exploratory	exploratory	ADJ
cana-396	209	26	legitimate	legitimate	ADJ
cana-396	209	27	procedures	procedure	NOUN
cana-396	209	28	.	.	PUNCT
cana-396	210	1	leonardo	leonardo	PROPN
cana-396	210	2	da	da	PROPN
cana-396	210	3	vinci	vinci	PROPN
cana-396	210	4	played	play	VERB
cana-396	210	5	a	a	DET
cana-396	210	6	significant	significant	ADJ
cana-396	210	7	part	part	NOUN
cana-396	210	8	in	in	ADP
cana-396	210	9	the	the	DET
cana-396	210	10	renaissance	renaissance	NOUN
cana-396	210	11	with	with	ADP
cana-396	210	12	his	his	PRON
cana-396	210	13	perceptions	perception	NOUN
cana-396	210	14	and	and	CCONJ
cana-396	210	15	trials	trial	NOUN
cana-396	210	16	,	,	PUNCT
cana-396	210	17	preparing	prepare	VERB
cana-396	210	18	for	for	ADP
cana-396	210	19	additional	additional	ADJ
cana-396	210	20	headways	headway	NOUN
cana-396	210	21	.	.	PUNCT
cana-396	211	1	significant	significant	ADJ
cana-396	211	2	people	people	NOUN
cana-396	211	3	from	from	ADP
cana-396	211	4	the	the	DET
cana-396	211	5	seventeenth	seventeenth	ADJ
cana-396	211	6	century	century	NOUN
cana-396	211	7	included	include	VERB
cana-396	211	8	evangelista	evangelista	PROPN
cana-396	211	9	torricelli	torricelli	PROPN
cana-396	211	10	,	,	PUNCT
cana-396	211	11	who	who	PRON
cana-396	211	12	fostered	foster	VERB
cana-396	211	13	the	the	DET
cana-396	211	14	pointer	pointer	NOUN
cana-396	211	15	,	,	PUNCT
cana-396	211	16	and	and	CCONJ
cana-396	211	17	isaac	isaac	PROPN
cana-396	211	18	newton	newton	PROPN
cana-396	211	19	,	,	PUNCT
cana-396	211	20	who	who	PRON
cana-396	211	21	led	lead	VERB
cana-396	211	22	broad	broad	ADJ
cana-396	211	23	exploration	exploration	NOUN
cana-396	211	24	on	on	ADP
cana-396	211	25	thickness	thickness	NOUN
cana-396	211	26	.	.	PUNCT
cana-396	212	1	pascal	pascal	PROPN
cana-396	212	2	's	's	PART
cana-396	212	3	guideline	guideline	NOUN
cana-396	212	4	and	and	CCONJ
cana-396	212	5	hydrostatics	hydrostatic	NOUN
cana-396	212	6	were	be	AUX
cana-396	212	7	both	both	PRON
cana-396	212	8	enhanced	enhance	VERB
cana-396	212	9	by	by	ADP
cana-396	212	10	blaise	blaise	PROPN
cana-396	212	11	pascal	pascal	PROPN
cana-396	212	12	.	.	PUNCT
cana-396	213	1	subsequently	subsequently	ADV
cana-396	213	2	,	,	PUNCT
cana-396	213	3	daniel	daniel	PROPN
cana-396	213	4	bernoulli	bernoulli	PROPN
cana-396	213	5	presented	present	VERB
cana-396	213	6	mathematical	mathematical	ADJ
cana-396	213	7	fluid	fluid	ADJ
cana-396	213	8	components	component	NOUN
cana-396	213	9	with	with	ADP
cana-396	213	10	his	his	PRON
cana-396	213	11	progressive	progressive	ADJ
cana-396	213	12	work	work	NOUN
cana-396	213	13	"	"	PUNCT
cana-396	213	14	hydrodynamica	hydrodynamica	NOUN
cana-396	213	15	"	"	PUNCT
cana-396	213	16	in	in	ADP
cana-396	213	17	1739	1739	NUM
cana-396	213	18	,	,	PUNCT
cana-396	213	19	denoting	denote	VERB
cana-396	213	20	a	a	DET
cana-396	213	21	critical	critical	ADJ
cana-396	213	22	headway	headway	NOUN
cana-396	213	23	in	in	ADP
cana-396	213	24	the	the	DET
cana-396	213	25	fast	fast	ADJ
cana-396	213	26	headway	headway	NOUN
cana-396	213	27	of	of	ADP
cana-396	213	28	fluid	fluid	ADJ
cana-396	213	29	mechanics	mechanic	NOUN
cana-396	213	30	.	.	PUNCT
cana-396	214	1	this	this	DET
cana-396	214	2	true	true	ADJ
cana-396	214	3	excursion	excursion	NOUN
cana-396	214	4	exhibits	exhibit	VERB
cana-396	214	5	a	a	DET
cana-396	214	6	perplexing	perplexing	ADJ
cana-396	214	7	embroidery	embroidery	NOUN
cana-396	214	8	of	of	ADP
cana-396	214	9	commitments	commitment	NOUN
cana-396	214	10	from	from	ADP
cana-396	214	11	different	different	ADJ
cana-396	214	12	social	social	ADJ
cana-396	214	13	orders	order	NOUN
cana-396	214	14	and	and	CCONJ
cana-396	214	15	scholastics	scholastic	NOUN
cana-396	214	16	,	,	PUNCT
cana-396	214	17	forming	form	VERB
cana-396	214	18	the	the	DET
cana-396	214	19	region	region	NOUN
cana-396	214	20	into	into	ADP
cana-396	214	21	what	what	PRON
cana-396	214	22	it	it	PRON
cana-396	214	23	is	be	AUX
cana-396	214	24	presently	presently	ADV
cana-396	214	25	.	.	PUNCT
cana-396	215	1	communications	communication	NOUN
cana-396	215	2	on	on	ADP
cana-396	215	3	applied	apply	VERB
cana-396	215	4	nonlinear	nonlinear	ADJ
cana-396	215	5	analysis	analysis	NOUN
cana-396	215	6	issn	issn	NOUN
cana-396	215	7	:	:	PUNCT
cana-396	215	8	1074	1074	NUM
cana-396	215	9	-	-	PUNCT
cana-396	215	10	133x	133x	NUM
cana-396	215	11	vol	vol	NOUN
cana-396	215	12	31	31	NUM
cana-396	215	13	no	no	NOUN
cana-396	215	14	.	.	NOUN
cana-396	215	15	1	1	NUM
cana-396	215	16	(	(	PUNCT
cana-396	215	17	2024	2024	NUM
cana-396	215	18	)	)	PUNCT
cana-396	215	19	217	217	NUM
cana-396	215	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-396	215	21	figure	figure	NOUN
cana-396	215	22	1	1	NUM
cana-396	215	23	:	:	PUNCT
cana-396	215	24	fluid	fluid	ADJ
cana-396	215	25	mechanics	mechanic	NOUN
cana-396	215	26	a.	a.	NOUN
cana-396	215	27	types	type	NOUN
cana-396	215	28	of	of	ADP
cana-396	215	29	fluids	fluid	NOUN
cana-396	215	30	:	:	PUNCT
cana-396	215	31	fluids	fluid	NOUN
cana-396	215	32	exhibit	exhibit	VERB
cana-396	215	33	a	a	DET
cana-396	215	34	variety	variety	NOUN
cana-396	215	35	of	of	ADP
cana-396	215	36	characteristics	characteristic	NOUN
cana-396	215	37	,	,	PUNCT
cana-396	215	38	and	and	CCONJ
cana-396	215	39	understanding	understand	VERB
cana-396	215	40	their	their	PRON
cana-396	215	41	behavior	behavior	NOUN
cana-396	215	42	requires	require	VERB
cana-396	215	43	an	an	DET
cana-396	215	44	understanding	understanding	NOUN
cana-396	215	45	of	of	ADP
cana-396	215	46	their	their	PRON
cana-396	215	47	order	order	NOUN
cana-396	215	48	.	.	PUNCT
cana-396	216	1	it	it	PRON
cana-396	216	2	can	can	AUX
cana-396	216	3	be	be	AUX
cana-396	216	4	divided	divide	VERB
cana-396	216	5	into	into	ADP
cana-396	216	6	five	five	NUM
cana-396	216	7	types	type	NOUN
cana-396	216	8	:	:	PUNCT
cana-396	216	9	1	1	X
cana-396	216	10	.	.	X
cana-396	216	11	ideal	ideal	ADJ
cana-396	216	12	fluid	fluid	NOUN
cana-396	216	13	:	:	PUNCT
cana-396	216	14	a	a	DET
cana-396	216	15	theoretical	theoretical	ADJ
cana-396	216	16	concept	concept	NOUN
cana-396	216	17	that	that	PRON
cana-396	216	18	deals	deal	VERB
cana-396	216	19	with	with	ADP
cana-396	216	20	a	a	DET
cana-396	216	21	fluid	fluid	ADJ
cana-396	216	22	lacking	lack	VERB
cana-396	216	23	consistency	consistency	NOUN
cana-396	216	24	is	be	AUX
cana-396	216	25	called	call	VERB
cana-396	216	26	an	an	DET
cana-396	216	27	ideal	ideal	ADJ
cana-396	216	28	fluid	fluid	NOUN
cana-396	216	29	.	.	PUNCT
cana-396	217	1	a	a	DET
cana-396	217	2	fantastical	fantastical	ADJ
cana-396	217	3	fluid	fluid	NOUN
cana-396	217	4	outperforms	outperform	NOUN
cana-396	217	5	numerical	numerical	ADJ
cana-396	217	6	models	model	NOUN
cana-396	217	7	but	but	CCONJ
cana-396	217	8	is	be	AUX
cana-396	217	9	unreal	unreal	ADJ
cana-396	217	10	.	.	PUNCT
cana-396	218	1	2	2	X
cana-396	218	2	.	.	X
cana-396	218	3	real	real	ADJ
cana-396	218	4	fluid	fluid	NOUN
cana-396	218	5	:	:	PUNCT
cana-396	218	6	the	the	DET
cana-396	218	7	internal	internal	ADJ
cana-396	218	8	defense	defense	NOUN
cana-396	218	9	against	against	ADP
cana-396	218	10	stream	stream	NOUN
cana-396	218	11	that	that	PRON
cana-396	218	12	characterizes	characterize	VERB
cana-396	218	13	a	a	DET
cana-396	218	14	real	real	ADJ
cana-396	218	15	fluid	fluid	NOUN
cana-396	218	16	is	be	AUX
cana-396	218	17	its	its	PRON
cana-396	218	18	constancy	constancy	NOUN
cana-396	218	19	.	.	PUNCT
cana-396	219	1	each	each	PRON
cana-396	219	2	and	and	CCONJ
cana-396	219	3	every	every	DET
cana-396	219	4	fluid	fluid	NOUN
cana-396	219	5	is	be	AUX
cana-396	219	6	an	an	DET
cana-396	219	7	actual	actual	ADJ
cana-396	219	8	fluid	fluid	NOUN
cana-396	219	9	.	.	PUNCT
cana-396	220	1	3	3	X
cana-396	220	2	.	.	X
cana-396	220	3	newtonian	newtonian	ADJ
cana-396	220	4	fluid	fluid	NOUN
cana-396	220	5	:	:	PUNCT
cana-396	220	6	a	a	DET
cana-396	220	7	newtonian	newtonian	ADJ
cana-396	220	8	fluid	fluid	NOUN
cana-396	220	9	is	be	AUX
cana-396	220	10	a	a	DET
cana-396	220	11	genuine	genuine	ADJ
cana-396	220	12	fluid	fluid	NOUN
cana-396	220	13	wherein	wherein	ADJ
cana-396	220	14	the	the	DET
cana-396	220	15	shear	shear	NOUN
cana-396	220	16	pressure	pressure	NOUN
cana-396	220	17	is	be	AUX
cana-396	220	18	straightforwardly	straightforwardly	ADV
cana-396	220	19	corresponding	correspond	VERB
cana-396	220	20	to	to	ADP
cana-396	220	21	the	the	DET
cana-396	220	22	shear	shear	NOUN
cana-396	220	23	strain	strain	NOUN
cana-396	220	24	rate	rate	NOUN
cana-396	220	25	(	(	PUNCT
cana-396	220	26	or	or	CCONJ
cana-396	220	27	speed	speed	NOUN
cana-396	220	28	slant	slant	NOUN
cana-396	220	29	)	)	PUNCT
cana-396	220	30	.	.	PUNCT
cana-396	221	1	4	4	X
cana-396	221	2	.	.	X
cana-396	221	3	non	non	ADJ
cana-396	221	4	-	-	ADJ
cana-396	221	5	newtonian	newtonian	ADJ
cana-396	221	6	fluid	fluid	NOUN
cana-396	221	7	:	:	PUNCT
cana-396	221	8	a	a	DET
cana-396	221	9	non	non	ADJ
cana-396	221	10	-	-	ADJ
cana-396	221	11	newtonian	newtonian	ADJ
cana-396	221	12	fluid	fluid	NOUN
cana-396	221	13	is	be	AUX
cana-396	221	14	a	a	DET
cana-396	221	15	genuine	genuine	ADJ
cana-396	221	16	fluid	fluid	NOUN
cana-396	221	17	where	where	SCONJ
cana-396	221	18	the	the	DET
cana-396	221	19	shear	shear	NOUN
cana-396	221	20	pressure	pressure	NOUN
cana-396	221	21	is	be	AUX
cana-396	221	22	free	free	ADJ
cana-396	221	23	of	of	ADP
cana-396	221	24	the	the	DET
cana-396	221	25	speed	speed	NOUN
cana-396	221	26	tendency	tendency	NOUN
cana-396	221	27	or	or	CCONJ
cana-396	221	28	shear	shear	NOUN
cana-396	221	29	strain	strain	NOUN
cana-396	221	30	rate	rate	NOUN
cana-396	221	31	.	.	PUNCT
cana-396	222	1	5	5	X
cana-396	222	2	.	.	X
cana-396	222	3	ideal	ideal	ADJ
cana-396	222	4	plastic	plastic	NOUN
cana-396	222	5	fluid	fluid	NOUN
cana-396	222	6	:	:	PUNCT
cana-396	222	7	an	an	DET
cana-396	222	8	ideal	ideal	ADJ
cana-396	222	9	plastic	plastic	ADJ
cana-396	222	10	fluid	fluid	NOUN
cana-396	222	11	is	be	AUX
cana-396	222	12	one	one	NUM
cana-396	222	13	in	in	ADP
cana-396	222	14	which	which	PRON
cana-396	222	15	the	the	DET
cana-396	222	16	shear	shear	NOUN
cana-396	222	17	pressure	pressure	NOUN
cana-396	222	18	is	be	AUX
cana-396	222	19	more	more	ADV
cana-396	222	20	prominent	prominent	ADJ
cana-396	222	21	than	than	ADP
cana-396	222	22	the	the	DET
cana-396	222	23	yield	yield	NOUN
cana-396	222	24	esteem	esteem	NOUN
cana-396	222	25	and	and	CCONJ
cana-396	222	26	the	the	DET
cana-396	222	27	shear	shear	NOUN
cana-396	222	28	pressure	pressure	NOUN
cana-396	222	29	is	be	AUX
cana-396	222	30	connected	connect	VERB
cana-396	222	31	with	with	ADP
cana-396	222	32	the	the	DET
cana-396	222	33	speed	speed	NOUN
cana-396	222	34	tendency	tendency	NOUN
cana-396	222	35	or	or	CCONJ
cana-396	222	36	shear	shear	NOUN
cana-396	222	37	strain	strain	NOUN
cana-396	222	38	rate	rate	NOUN
cana-396	222	39	.	.	PUNCT
cana-396	223	1	figure	figure	NOUN
cana-396	223	2	2	2	NUM
cana-396	223	3	:	:	PUNCT
cana-396	223	4	types	type	NOUN
cana-396	223	5	of	of	ADP
cana-396	223	6	fluids	fluid	NOUN
cana-396	223	7	communications	communication	NOUN
cana-396	223	8	on	on	ADP
cana-396	223	9	applied	apply	VERB
cana-396	223	10	nonlinear	nonlinear	ADJ
cana-396	223	11	analysis	analysis	NOUN
cana-396	223	12	issn	issn	NOUN
cana-396	223	13	:	:	PUNCT
cana-396	223	14	1074	1074	NUM
cana-396	223	15	-	-	PUNCT
cana-396	223	16	133x	133x	NUM
cana-396	223	17	vol	vol	NOUN
cana-396	223	18	31	31	NUM
cana-396	223	19	no	no	NOUN
cana-396	223	20	.	.	NOUN
cana-396	223	21	1	1	NUM
cana-396	223	22	(	(	PUNCT
cana-396	223	23	2024	2024	NUM
cana-396	223	24	)	)	PUNCT
cana-396	223	25	218	218	NUM
cana-396	223	26	https://internationalpubls.com	https://internationalpubls.com	X
cana-396	223	27	b.	b.	NOUN
cana-396	223	28	properties	property	NOUN
cana-396	223	29	of	of	ADP
cana-396	223	30	fluids	fluid	NOUN
cana-396	223	31	:	:	PUNCT
cana-396	223	32	the	the	DET
cana-396	223	33	area	area	NOUN
cana-396	223	34	of	of	ADP
cana-396	223	35	physics	physics	NOUN
cana-396	223	36	that	that	PRON
cana-396	223	37	focuses	focus	VERB
cana-396	223	38	on	on	ADP
cana-396	223	39	fluids	fluid	NOUN
cana-396	223	40	and	and	CCONJ
cana-396	223	41	their	their	PRON
cana-396	223	42	characteristics	characteristic	NOUN
cana-396	223	43	is	be	AUX
cana-396	223	44	called	call	VERB
cana-396	223	45	fluid	fluid	ADJ
cana-396	223	46	mechanics	mechanic	NOUN
cana-396	223	47	.	.	PUNCT
cana-396	224	1	it	it	PRON
cana-396	224	2	is	be	AUX
cana-396	224	3	essential	essential	ADJ
cana-396	224	4	to	to	PART
cana-396	224	5	comprehend	comprehend	VERB
cana-396	224	6	how	how	SCONJ
cana-396	224	7	gases	gas	NOUN
cana-396	224	8	and	and	CCONJ
cana-396	224	9	liquids	liquid	NOUN
cana-396	224	10	behave	behave	VERB
cana-396	224	11	both	both	PRON
cana-396	224	12	at	at	ADP
cana-396	224	13	rest	rest	NOUN
cana-396	224	14	and	and	CCONJ
cana-396	224	15	in	in	ADP
cana-396	224	16	motion	motion	NOUN
cana-396	224	17	.	.	PUNCT
cana-396	225	1	it	it	PRON
cana-396	225	2	plays	play	VERB
cana-396	225	3	a	a	DET
cana-396	225	4	crucial	crucial	ADJ
cana-396	225	5	role	role	NOUN
cana-396	225	6	in	in	ADP
cana-396	225	7	many	many	ADJ
cana-396	225	8	domains	domain	NOUN
cana-396	225	9	,	,	PUNCT
cana-396	225	10	including	include	VERB
cana-396	225	11	natural	natural	ADJ
cana-396	225	12	sciences	science	NOUN
cana-396	225	13	,	,	PUNCT
cana-396	225	14	medicine	medicine	NOUN
cana-396	225	15	,	,	PUNCT
cana-396	225	16	and	and	CCONJ
cana-396	225	17	design	design	NOUN
cana-396	225	18	.	.	PUNCT
cana-396	226	1	fluids	fluid	NOUN
cana-396	226	2	can	can	AUX
cana-396	226	3	be	be	AUX
cana-396	226	4	distinguished	distinguish	VERB
cana-396	226	5	from	from	ADP
cana-396	226	6	solids	solid	NOUN
cana-396	226	7	by	by	ADP
cana-396	226	8	their	their	PRON
cana-396	226	9	unique	unique	ADJ
cana-396	226	10	features	feature	NOUN
cana-396	226	11	.	.	PUNCT
cana-396	227	1	comprehending	comprehend	VERB
cana-396	227	2	these	these	DET
cana-396	227	3	attributes	attribute	NOUN
cana-396	227	4	is	be	AUX
cana-396	227	5	essential	essential	ADJ
cana-396	227	6	for	for	ADP
cana-396	227	7	comprehending	comprehending	ADJ
cana-396	227	8	fluid	fluid	ADJ
cana-396	227	9	mechanics	mechanic	NOUN
cana-396	227	10	.	.	PUNCT
cana-396	228	1	thickness	thickness	NOUN
cana-396	228	2	,	,	PUNCT
cana-396	228	3	explicit	explicit	ADJ
cana-396	228	4	gravity	gravity	NOUN
cana-396	228	5	,	,	PUNCT
cana-396	228	6	consistency	consistency	NOUN
cana-396	228	7	,	,	PUNCT
cana-396	228	8	surface	surface	NOUN
cana-396	228	9	strain	strain	NOUN
cana-396	228	10	,	,	PUNCT
cana-396	228	11	and	and	CCONJ
cana-396	228	12	compressibility	compressibility	NOUN
cana-396	228	13	are	be	AUX
cana-396	228	14	the	the	DET
cana-396	228	15	basic	basic	ADJ
cana-396	228	16	characteristics	characteristic	NOUN
cana-396	228	17	of	of	ADP
cana-396	228	18	fluids	fluid	NOUN
cana-396	228	19	.	.	PUNCT
cana-396	229	1	10	10	NUM
cana-396	229	2	.	.	PUNCT
cana-396	229	3	fluid	fluid	ADJ
cana-396	229	4	dynamics	dynamic	NOUN
cana-396	229	5	of	of	ADP
cana-396	229	6	airfoils	airfoil	NOUN
cana-396	229	7	:	:	PUNCT
cana-396	229	8	lift	lift	NOUN
cana-396	229	9	and	and	CCONJ
cana-396	229	10	drag	drag	VERB
cana-396	229	11	a	a	DET
cana-396	229	12	large	large	ADJ
cana-396	229	13	portion	portion	NOUN
cana-396	229	14	of	of	ADP
cana-396	229	15	streamlined	streamlined	ADJ
cana-396	229	16	features	feature	NOUN
cana-396	229	17	are	be	AUX
cana-396	229	18	composed	compose	VERB
cana-396	229	19	of	of	ADP
cana-396	229	20	fluid	fluid	ADJ
cana-396	229	21	elements	element	NOUN
cana-396	229	22	of	of	ADP
cana-396	229	23	airfoils	airfoil	NOUN
cana-396	229	24	,	,	PUNCT
cana-396	229	25	particularly	particularly	ADV
cana-396	229	26	in	in	ADP
cana-396	229	27	the	the	DET
cana-396	229	28	design	design	NOUN
cana-396	229	29	and	and	CCONJ
cana-396	229	30	analysis	analysis	NOUN
cana-396	229	31	of	of	ADP
cana-396	229	32	aviation	aviation	NOUN
cana-396	229	33	wings	wing	NOUN
cana-396	229	34	,	,	PUNCT
cana-396	229	35	propellers	propeller	NOUN
cana-396	229	36	,	,	PUNCT
cana-396	229	37	and	and	CCONJ
cana-396	229	38	wind	wind	NOUN
cana-396	229	39	turbine	turbine	NOUN
cana-396	229	40	cutting	cut	VERB
cana-396	229	41	edges	edge	NOUN
cana-396	229	42	.	.	PUNCT
cana-396	230	1	two	two	NUM
cana-396	230	2	key	key	ADJ
cana-396	230	3	forces	force	NOUN
cana-396	230	4	that	that	PRON
cana-396	230	5	accompany	accompany	VERB
cana-396	230	6	an	an	DET
cana-396	230	7	airfoil	airfoil	NOUN
cana-396	230	8	in	in	ADP
cana-396	230	9	a	a	DET
cana-396	230	10	fluid	fluid	ADJ
cana-396	230	11	stream	stream	NOUN
cana-396	230	12	are	be	AUX
cana-396	230	13	lift	lift	NOUN
cana-396	230	14	and	and	CCONJ
cana-396	230	15	drag	drag	VERB
cana-396	230	16	.	.	PUNCT
cana-396	231	1	improving	improve	VERB
cana-396	231	2	the	the	DET
cana-396	231	3	presentation	presentation	NOUN
cana-396	231	4	of	of	ADP
cana-396	231	5	these	these	DET
cana-396	231	6	streamlined	streamline	VERB
cana-396	231	7	frameworks	framework	NOUN
cana-396	231	8	requires	require	VERB
cana-396	231	9	a	a	DET
cana-396	231	10	fundamental	fundamental	ADJ
cana-396	231	11	grasp	grasp	NOUN
cana-396	231	12	of	of	ADP
cana-396	231	13	their	their	PRON
cana-396	231	14	behavior	behavior	NOUN
cana-396	231	15	.	.	PUNCT
cana-396	232	1	the	the	DET
cana-396	232	2	lift	lift	NOUN
cana-396	232	3	force	force	NOUN
cana-396	232	4	,	,	PUNCT
cana-396	232	5	which	which	PRON
cana-396	232	6	is	be	AUX
cana-396	232	7	generated	generate	VERB
cana-396	232	8	in	in	ADP
cana-396	232	9	the	the	DET
cana-396	232	10	opposite	opposite	ADJ
cana-396	232	11	direction	direction	NOUN
cana-396	232	12	of	of	ADP
cana-396	232	13	the	the	DET
cana-396	232	14	main	main	ADJ
cana-396	232	15	wind	wind	NOUN
cana-396	232	16	stream	stream	NOUN
cana-396	232	17	,	,	PUNCT
cana-396	232	18	is	be	AUX
cana-396	232	19	responsible	responsible	ADJ
cana-396	232	20	for	for	ADP
cana-396	232	21	providing	provide	VERB
cana-396	232	22	the	the	DET
cana-396	232	23	necessary	necessary	ADJ
cana-396	232	24	streamlined	streamlined	ADJ
cana-396	232	25	lift	lift	NOUN
cana-396	232	26	to	to	PART
cana-396	232	27	support	support	VERB
cana-396	232	28	an	an	DET
cana-396	232	29	aircraft	aircraft	NOUN
cana-396	232	30	during	during	ADP
cana-396	232	31	flight	flight	NOUN
cana-396	232	32	or	or	CCONJ
cana-396	232	33	to	to	PART
cana-396	232	34	increase	increase	VERB
cana-396	232	35	a	a	DET
cana-396	232	36	breeze	breeze	ADJ
cana-396	232	37	turbine	turbine	NOUN
cana-396	232	38	's	's	PART
cana-396	232	39	efficiency	efficiency	NOUN
cana-396	232	40	.	.	PUNCT
cana-396	233	1	the	the	DET
cana-396	233	2	tension	tension	NOUN
cana-396	233	3	contrast	contrast	NOUN
cana-396	233	4	between	between	ADP
cana-396	233	5	the	the	DET
cana-396	233	6	airfoil	airfoil	NOUN
cana-396	233	7	's	's	PART
cana-396	233	8	upper	upper	ADJ
cana-396	233	9	and	and	CCONJ
cana-396	233	10	lower	low	ADJ
cana-396	233	11	surfaces	surface	NOUN
cana-396	233	12	—	—	PUNCT
cana-396	233	13	caused	cause	VERB
cana-396	233	14	by	by	ADP
cana-396	233	15	the	the	DET
cana-396	233	16	airfoil	airfoil	NOUN
cana-396	233	17	's	's	PART
cana-396	233	18	bowed	bow	VERB
cana-396	233	19	shape	shape	NOUN
cana-396	233	20	,	,	PUNCT
cana-396	233	21	or	or	CCONJ
cana-396	233	22	camber	camber	NOUN
cana-396	233	23	—	—	PUNCT
cana-396	233	24	and	and	CCONJ
cana-396	233	25	the	the	DET
cana-396	233	26	approach	approach	NOUN
cana-396	233	27	at	at	ADP
cana-396	233	28	which	which	PRON
cana-396	233	29	it	it	PRON
cana-396	233	30	meets	meet	VERB
cana-396	233	31	the	the	DET
cana-396	233	32	incoming	incoming	ADJ
cana-396	233	33	wind	wind	NOUN
cana-396	233	34	current	current	NOUN
cana-396	233	35	are	be	AUX
cana-396	233	36	primarily	primarily	ADV
cana-396	233	37	responsible	responsible	ADJ
cana-396	233	38	for	for	ADP
cana-396	233	39	lift	lift	NOUN
cana-396	233	40	age	age	NOUN
cana-396	233	41	.	.	PUNCT
cana-396	234	1	in	in	ADP
cana-396	234	2	perspective	perspective	NOUN
cana-396	234	3	of	of	ADP
cana-396	234	4	partial	partial	ADJ
cana-396	234	5	differential	differential	NOUN
cana-396	234	6	equations	equation	NOUN
cana-396	234	7	,	,	PUNCT
cana-396	234	8	such	such	ADJ
cana-396	234	9	as	as	ADP
cana-396	234	10	the	the	DET
cana-396	234	11	navierstirs	navierstir	NOUN
cana-396	234	12	up	up	ADP
cana-396	234	13	equations	equation	NOUN
cana-396	234	14	,	,	PUNCT
cana-396	234	15	the	the	DET
cana-396	234	16	lift	lift	NOUN
cana-396	234	17	coefficient	coefficient	NOUN
cana-396	234	18	,	,	PUNCT
cana-396	234	19	a	a	DET
cana-396	234	20	dimensionless	dimensionless	NOUN
cana-396	234	21	quantity	quantity	NOUN
cana-396	234	22	,	,	PUNCT
cana-396	234	23	represents	represent	VERB
cana-396	234	24	the	the	DET
cana-396	234	25	efficacy	efficacy	NOUN
cana-396	234	26	of	of	ADP
cana-396	234	27	lift	lift	NOUN
cana-396	234	28	age	age	NOUN
cana-396	234	29	and	and	CCONJ
cana-396	234	30	is	be	AUX
cana-396	234	31	frequently	frequently	ADV
cana-396	234	32	recorded	record	VERB
cana-396	234	33	using	use	VERB
cana-396	234	34	precise	precise	ADJ
cana-396	234	35	data	datum	NOUN
cana-396	234	36	or	or	CCONJ
cana-396	234	37	computational	computational	ADJ
cana-396	234	38	fluid	fluid	ADJ
cana-396	234	39	components	component	NOUN
cana-396	234	40	recreations	recreation	NOUN
cana-396	234	41	.	.	PUNCT
cana-396	235	1	conversely	conversely	ADV
cana-396	235	2	,	,	PUNCT
cana-396	235	3	drag	drag	NOUN
cana-396	235	4	force	force	NOUN
cana-396	235	5	works	work	VERB
cana-396	235	6	in	in	ADP
cana-396	235	7	opposition	opposition	NOUN
cana-396	235	8	to	to	ADP
cana-396	235	9	the	the	DET
cana-396	235	10	airfoil	airfoil	NOUN
cana-396	235	11	's	's	PART
cana-396	235	12	motion	motion	NOUN
cana-396	235	13	through	through	ADP
cana-396	235	14	the	the	DET
cana-396	235	15	fluid	fluid	NOUN
cana-396	235	16	and	and	CCONJ
cana-396	235	17	is	be	AUX
cana-396	235	18	aligned	align	VERB
cana-396	235	19	with	with	ADP
cana-396	235	20	the	the	DET
cana-396	235	21	direction	direction	NOUN
cana-396	235	22	of	of	ADP
cana-396	235	23	the	the	DET
cana-396	235	24	overall	overall	ADJ
cana-396	235	25	wind	wind	NOUN
cana-396	235	26	stream	stream	NOUN
cana-396	235	27	.	.	PUNCT
cana-396	236	1	it	it	PRON
cana-396	236	2	is	be	AUX
cana-396	236	3	composed	compose	VERB
cana-396	236	4	of	of	ADP
cana-396	236	5	two	two	NUM
cana-396	236	6	main	main	ADJ
cana-396	236	7	components	component	NOUN
cana-396	236	8	:	:	PUNCT
cana-396	236	9	strain	strain	NOUN
cana-396	236	10	drag	drag	PROPN
cana-396	236	11	,	,	PUNCT
cana-396	236	12	which	which	PRON
cana-396	236	13	arises	arise	VERB
cana-396	236	14	from	from	ADP
cana-396	236	15	tension	tension	NOUN
cana-396	236	16	differences	difference	NOUN
cana-396	236	17	surrounding	surround	VERB
cana-396	236	18	the	the	DET
cana-396	236	19	airfoil	airfoil	NOUN
cana-396	236	20	,	,	PUNCT
cana-396	236	21	and	and	CCONJ
cana-396	236	22	sticky	sticky	ADJ
cana-396	236	23	drag	drag	NOUN
cana-396	236	24	,	,	PUNCT
cana-396	236	25	which	which	PRON
cana-396	236	26	is	be	AUX
cana-396	236	27	caused	cause	VERB
cana-396	236	28	by	by	ADP
cana-396	236	29	erosion	erosion	NOUN
cana-396	236	30	between	between	ADP
cana-396	236	31	the	the	DET
cana-396	236	32	air	air	NOUN
cana-396	236	33	and	and	CCONJ
cana-396	236	34	the	the	DET
cana-396	236	35	airfoil	airfoil	NOUN
cana-396	236	36	surface	surface	NOUN
cana-396	236	37	.	.	PUNCT
cana-396	237	1	reducing	reduce	VERB
cana-396	237	2	drag	drag	NOUN
cana-396	237	3	is	be	AUX
cana-396	237	4	essential	essential	ADJ
cana-396	237	5	for	for	ADP
cana-396	237	6	improving	improve	VERB
cana-396	237	7	the	the	DET
cana-396	237	8	efficiency	efficiency	NOUN
cana-396	237	9	and	and	CCONJ
cana-396	237	10	performance	performance	NOUN
cana-396	237	11	of	of	ADP
cana-396	237	12	streamlined	streamlined	ADJ
cana-396	237	13	structures	structure	NOUN
cana-396	237	14	since	since	SCONJ
cana-396	237	15	it	it	PRON
cana-396	237	16	directly	directly	ADV
cana-396	237	17	affects	affect	VERB
cana-396	237	18	variables	variable	NOUN
cana-396	237	19	like	like	ADP
cana-396	237	20	the	the	DET
cana-396	237	21	amount	amount	NOUN
cana-396	237	22	of	of	ADP
cana-396	237	23	fuel	fuel	NOUN
cana-396	237	24	used	use	VERB
cana-396	237	25	in	in	ADP
cana-396	237	26	airplanes	airplane	NOUN
cana-396	237	27	and	and	CCONJ
cana-396	237	28	the	the	DET
cana-396	237	29	power	power	NOUN
cana-396	237	30	produced	produce	VERB
cana-396	237	31	by	by	ADP
cana-396	237	32	wind	wind	NOUN
cana-396	237	33	turbines	turbine	NOUN
cana-396	237	34	.	.	PUNCT
cana-396	238	1	examining	examine	VERB
cana-396	238	2	the	the	DET
cana-396	238	3	intricate	intricate	ADJ
cana-396	238	4	interactions	interaction	NOUN
cana-396	238	5	between	between	ADP
cana-396	238	6	the	the	DET
cana-396	238	7	wind	wind	NOUN
cana-396	238	8	flow	flow	NOUN
cana-396	238	9	and	and	CCONJ
cana-396	238	10	the	the	DET
cana-396	238	11	mathematical	mathematical	ADJ
cana-396	238	12	highlights	highlight	NOUN
cana-396	238	13	of	of	ADP
cana-396	238	14	the	the	DET
cana-396	238	15	airfoil	airfoil	NOUN
cana-396	238	16	,	,	PUNCT
cana-396	238	17	such	such	ADJ
cana-396	238	18	as	as	ADP
cana-396	238	19	its	its	PRON
cana-396	238	20	form	form	NOUN
cana-396	238	21	,	,	PUNCT
cana-396	238	22	approach	approach	NOUN
cana-396	238	23	,	,	PUNCT
cana-396	238	24	and	and	CCONJ
cana-396	238	25	disagreeable	disagreeable	ADJ
cana-396	238	26	surface	surface	NOUN
cana-396	238	27	,	,	PUNCT
cana-396	238	28	is	be	AUX
cana-396	238	29	part	part	NOUN
cana-396	238	30	of	of	ADP
cana-396	238	31	the	the	DET
cana-396	238	32	fluid	fluid	ADJ
cana-396	238	33	elements	element	NOUN
cana-396	238	34	research	research	NOUN
cana-396	238	35	of	of	ADP
cana-396	238	36	airfoils	airfoils	PROPN
cana-396	238	37	.	.	PUNCT
cana-396	239	1	a	a	DET
cana-396	239	2	crucial	crucial	ADJ
cana-396	239	3	role	role	NOUN
cana-396	239	4	is	be	AUX
cana-396	239	5	played	play	VERB
cana-396	239	6	by	by	ADP
cana-396	239	7	computer	computer	NOUN
cana-396	239	8	techniques	technique	NOUN
cana-396	239	9	,	,	PUNCT
cana-396	239	10	such	such	ADJ
cana-396	239	11	as	as	ADP
cana-396	239	12	computational	computational	ADJ
cana-396	239	13	fluid	fluid	ADJ
cana-396	239	14	elements	element	NOUN
cana-396	239	15	(	(	PUNCT
cana-396	239	16	cfd	cfd	NOUN
cana-396	239	17	)	)	PUNCT
cana-396	239	18	reconstructions	reconstruction	NOUN
cana-396	239	19	,	,	PUNCT
cana-396	239	20	in	in	ADP
cana-396	239	21	predicting	predict	VERB
cana-396	239	22	the	the	DET
cana-396	239	23	lift	lift	NOUN
cana-396	239	24	and	and	CCONJ
cana-396	239	25	drag	drag	VERB
cana-396	239	26	characteristics	characteristic	NOUN
cana-396	239	27	of	of	ADP
cana-396	239	28	airfoils	airfoil	NOUN
cana-396	239	29	under	under	ADP
cana-396	239	30	various	various	ADJ
cana-396	239	31	operating	operating	NOUN
cana-396	239	32	conditions	condition	NOUN
cana-396	239	33	.	.	PUNCT
cana-396	240	1	these	these	DET
cana-396	240	2	replications	replication	NOUN
cana-396	240	3	include	include	VERB
cana-396	240	4	solving	solve	VERB
cana-396	240	5	the	the	DET
cana-396	240	6	navier	navier	NOUN
cana-396	240	7	-	-	PUNCT
cana-396	240	8	stirs	stir	VERB
cana-396	240	9	up	up	ADP
cana-396	240	10	equations	equation	NOUN
cana-396	240	11	and	and	CCONJ
cana-396	240	12	other	other	ADJ
cana-396	240	13	partial	partial	ADJ
cana-396	240	14	differential	differential	ADJ
cana-396	240	15	equations	equation	NOUN
cana-396	240	16	for	for	ADP
cana-396	240	17	fluid	fluid	ADJ
cana-396	240	18	flow	flow	NOUN
cana-396	240	19	,	,	PUNCT
cana-396	240	20	often	often	ADV
cana-396	240	21	with	with	ADP
cana-396	240	22	the	the	DET
cana-396	240	23	aid	aid	NOUN
cana-396	240	24	of	of	ADP
cana-396	240	25	mathematical	mathematical	ADJ
cana-396	240	26	approaches	approach	NOUN
cana-396	240	27	such	such	ADJ
cana-396	240	28	as	as	ADP
cana-396	240	29	limited	limited	ADJ
cana-396	240	30	component	component	NOUN
cana-396	240	31	analysis	analysis	NOUN
cana-396	240	32	or	or	CCONJ
cana-396	240	33	limited	limited	ADJ
cana-396	240	34	distinction	distinction	NOUN
cana-396	240	35	strategies	strategy	NOUN
cana-396	240	36	.	.	PUNCT
cana-396	241	1	gaining	gain	VERB
cana-396	241	2	an	an	DET
cana-396	241	3	understanding	understanding	NOUN
cana-396	241	4	of	of	ADP
cana-396	241	5	the	the	DET
cana-396	241	6	fluid	fluid	ADJ
cana-396	241	7	components	component	NOUN
cana-396	241	8	of	of	ADP
cana-396	241	9	airfoils	airfoil	NOUN
cana-396	241	10	and	and	CCONJ
cana-396	241	11	the	the	DET
cana-396	241	12	regulations	regulation	NOUN
cana-396	241	13	governing	govern	VERB
cana-396	241	14	lift	lift	NOUN
cana-396	241	15	and	and	CCONJ
cana-396	241	16	drag	drag	NOUN
cana-396	241	17	is	be	AUX
cana-396	241	18	essential	essential	ADJ
cana-396	241	19	to	to	ADP
cana-396	241	20	improving	improve	VERB
cana-396	241	21	the	the	DET
cana-396	241	22	efficiency	efficiency	NOUN
cana-396	241	23	and	and	CCONJ
cana-396	241	24	appearance	appearance	NOUN
cana-396	241	25	of	of	ADP
cana-396	241	26	streamlined	streamlined	ADJ
cana-396	241	27	frameworks	framework	NOUN
cana-396	241	28	in	in	ADP
cana-396	241	29	a	a	DET
cana-396	241	30	variety	variety	NOUN
cana-396	241	31	of	of	ADP
cana-396	241	32	applications	application	NOUN
cana-396	241	33	,	,	PUNCT
cana-396	241	34	from	from	ADP
cana-396	241	35	renewable	renewable	ADJ
cana-396	241	36	power	power	NOUN
cana-396	241	37	to	to	ADP
cana-396	241	38	aircraft	aircraft	NOUN
cana-396	241	39	design	design	NOUN
cana-396	241	40	.	.	PUNCT
cana-396	242	1	with	with	ADP
cana-396	242	2	the	the	DET
cana-396	242	3	use	use	NOUN
cana-396	242	4	of	of	ADP
cana-396	242	5	this	this	DET
cana-396	242	6	knowledge	knowledge	NOUN
cana-396	242	7	,	,	PUNCT
cana-396	242	8	architects	architect	NOUN
cana-396	242	9	may	may	AUX
cana-396	242	10	plan	plan	VERB
cana-396	242	11	more	more	ADV
cana-396	242	12	efficient	efficient	ADJ
cana-396	242	13	and	and	CCONJ
cana-396	242	14	environmentally	environmentally	ADV
cana-396	242	15	responsible	responsible	ADJ
cana-396	242	16	advancements	advancement	NOUN
cana-396	242	17	by	by	ADP
cana-396	242	18	reducing	reduce	VERB
cana-396	242	19	drag	drag	NOUN
cana-396	242	20	,	,	PUNCT
cana-396	242	21	increasing	increase	VERB
cana-396	242	22	lift	lift	NOUN
cana-396	242	23	,	,	PUNCT
cana-396	242	24	and	and	CCONJ
cana-396	242	25	focusing	focus	VERB
cana-396	242	26	on	on	ADP
cana-396	242	27	overall	overall	ADJ
cana-396	242	28	streamlined	streamlined	ADJ
cana-396	242	29	execution	execution	NOUN
cana-396	242	30	.	.	PUNCT
cana-396	243	1	communications	communication	NOUN
cana-396	243	2	on	on	ADP
cana-396	243	3	applied	apply	VERB
cana-396	243	4	nonlinear	nonlinear	ADJ
cana-396	243	5	analysis	analysis	NOUN
cana-396	243	6	issn	issn	NOUN
cana-396	243	7	:	:	PUNCT
cana-396	243	8	1074	1074	NUM
cana-396	243	9	-	-	PUNCT
cana-396	243	10	133x	133x	NUM
cana-396	243	11	vol	vol	NOUN
cana-396	243	12	31	31	NUM
cana-396	243	13	no	no	NOUN
cana-396	243	14	.	.	NOUN
cana-396	243	15	1	1	NUM
cana-396	243	16	(	(	PUNCT
cana-396	243	17	2024	2024	NUM
cana-396	243	18	)	)	PUNCT
cana-396	243	19	219	219	NUM
cana-396	244	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-396	244	2	11	11	NUM
cana-396	244	3	.	.	PUNCT
cana-396	245	1	conclusion	conclusion	VERB
cana-396	245	2	partial	partial	ADJ
cana-396	245	3	differential	differential	NOUN
cana-396	245	4	equations	equation	NOUN
cana-396	245	5	(	(	PUNCT
cana-396	245	6	pdes	pde	NOUN
cana-396	245	7	)	)	PUNCT
cana-396	245	8	have	have	VERB
cana-396	245	9	a	a	DET
cana-396	245	10	great	great	ADJ
cana-396	245	11	many	many	ADJ
cana-396	245	12	applications	application	NOUN
cana-396	245	13	in	in	ADP
cana-396	245	14	fluid	fluid	ADJ
cana-396	245	15	physics	physics	NOUN
cana-396	245	16	and	and	CCONJ
cana-396	245	17	give	give	VERB
cana-396	245	18	important	important	ADJ
cana-396	245	19	experiences	experience	NOUN
cana-396	245	20	into	into	ADP
cana-396	245	21	the	the	DET
cana-396	245	22	complicated	complicated	ADJ
cana-396	245	23	way	way	NOUN
cana-396	245	24	of	of	ADP
cana-396	245	25	behaving	behave	VERB
cana-396	245	26	of	of	ADP
cana-396	245	27	fluids	fluid	NOUN
cana-396	245	28	in	in	ADP
cana-396	245	29	different	different	ADJ
cana-396	245	30	situations	situation	NOUN
cana-396	245	31	.	.	PUNCT
cana-396	246	1	pde	pde	NOUN
cana-396	246	2	-	-	PUNCT
cana-396	246	3	based	base	VERB
cana-396	246	4	models	model	NOUN
cana-396	246	5	empower	empower	NOUN
cana-396	246	6	examiners	examiner	NOUN
cana-396	246	7	and	and	CCONJ
cana-396	246	8	originators	originator	NOUN
cana-396	246	9	to	to	PART
cana-396	246	10	address	address	VERB
cana-396	246	11	and	and	CCONJ
cana-396	246	12	take	take	VERB
cana-396	246	13	apart	apart	ADJ
cana-396	246	14	fluid	fluid	ADJ
cana-396	246	15	components	component	NOUN
cana-396	246	16	with	with	ADP
cana-396	246	17	shockingly	shockingly	ADV
cana-396	246	18	high	high	ADJ
cana-396	246	19	accuracy	accuracy	NOUN
cana-396	246	20	,	,	PUNCT
cana-396	246	21	empowering	empower	VERB
cana-396	246	22	headways	headway	NOUN
cana-396	246	23	in	in	ADP
cana-396	246	24	spaces	space	NOUN
cana-396	246	25	like	like	ADP
cana-396	246	26	biomedical	biomedical	ADJ
cana-396	246	27	plan	plan	NOUN
cana-396	246	28	,	,	PUNCT
cana-396	246	29	innate	innate	ADJ
cana-396	246	30	science	science	NOUN
cana-396	246	31	,	,	PUNCT
cana-396	246	32	and	and	CCONJ
cana-396	246	33	airplane	airplane	NOUN
cana-396	246	34	plan	plan	NOUN
cana-396	246	35	.	.	PUNCT
cana-396	247	1	it	it	PRON
cana-396	247	2	is	be	AUX
cana-396	247	3	feasible	feasible	ADJ
cana-396	247	4	to	to	PART
cana-396	247	5	subcategorize	subcategorize	VERB
cana-396	247	6	fluids	fluid	NOUN
cana-396	247	7	further	far	ADV
cana-396	247	8	.	.	PUNCT
cana-396	248	1	fluids	fluid	NOUN
cana-396	248	2	can	can	AUX
cana-396	248	3	be	be	AUX
cana-396	248	4	great	great	ADJ
cana-396	248	5	or	or	CCONJ
cana-396	248	6	inviscid	inviscid	ADJ
cana-396	248	7	.	.	PUNCT
cana-396	249	1	weight	weight	NOUN
cana-396	249	2	is	be	AUX
cana-396	249	3	the	the	DET
cana-396	249	4	essential	essential	ADJ
cana-396	249	5	inner	inner	ADJ
cana-396	249	6	power	power	NOUN
cana-396	249	7	in	in	ADP
cana-396	249	8	these	these	DET
cana-396	249	9	fluids	fluid	NOUN
cana-396	249	10	,	,	PUNCT
cana-396	249	11	acting	act	VERB
cana-396	249	12	to	to	PART
cana-396	249	13	move	move	VERB
cana-396	249	14	the	the	DET
cana-396	249	15	fluid	fluid	NOUN
cana-396	249	16	from	from	ADP
cana-396	249	17	a	a	DET
cana-396	249	18	high	high	ADJ
cana-396	249	19	-	-	PUNCT
cana-396	249	20	weight	weight	NOUN
cana-396	249	21	area	area	NOUN
cana-396	249	22	to	to	ADP
cana-396	249	23	a	a	DET
cana-396	249	24	low	low	ADJ
cana-396	249	25	-	-	PUNCT
cana-396	249	26	weight	weight	NOUN
cana-396	249	27	one	one	NUM
cana-396	249	28	.	.	PUNCT
cana-396	250	1	wing	wing	NOUN
cana-396	250	2	and	and	CCONJ
cana-396	250	3	plane	plane	NOUN
cana-396	250	4	plans	plan	NOUN
cana-396	250	5	have	have	AUX
cana-396	250	6	been	be	AUX
cana-396	250	7	connected	connect	VERB
cana-396	250	8	to	to	ADP
cana-396	250	9	the	the	DET
cana-396	250	10	equations	equation	NOUN
cana-396	250	11	for	for	ADP
cana-396	250	12	an	an	DET
cana-396	250	13	optimal	optimal	ADJ
cana-396	250	14	fluid	fluid	NOUN
cana-396	250	15	(	(	PUNCT
cana-396	250	16	as	as	ADP
cana-396	250	17	a	a	DET
cana-396	250	18	farthest	farth	ADJ
cana-396	250	19	characteristic	characteristic	NOUN
cana-396	250	20	of	of	ADP
cana-396	250	21	high	high	ADJ
cana-396	250	22	reynolds	reynold	NOUN
cana-396	250	23	number	number	NOUN
cana-396	250	24	stream	stream	NOUN
cana-396	250	25	)	)	PUNCT
cana-396	250	26	.	.	PUNCT
cana-396	251	1	regardless	regardless	ADV
cana-396	251	2	,	,	PUNCT
cana-396	251	3	thick	thick	ADJ
cana-396	251	4	fluids	fluid	NOUN
cana-396	251	5	are	be	AUX
cana-396	251	6	those	those	PRON
cana-396	251	7	that	that	PRON
cana-396	251	8	show	show	VERB
cana-396	251	9	inside	inside	ADP
cana-396	251	10	frictional	frictional	ADJ
cana-396	251	11	powers	power	NOUN
cana-396	251	12	that	that	PRON
cana-396	251	13	imitate	imitate	VERB
cana-396	251	14	a	a	DET
cana-396	251	15	strength	strength	NOUN
cana-396	251	16	"	"	PUNCT
cana-396	251	17	normal	normal	ADJ
cana-396	251	18	for	for	ADP
cana-396	251	19	the	the	DET
cana-396	251	20	fluid	fluid	NOUN
cana-396	251	21	and	and	CCONJ
cana-396	251	22	join	join	VERB
cana-396	252	1	significance	significance	NOUN
cana-396	252	2	wretchedness	wretchedness	NOUN
cana-396	252	3	.	.	PUNCT
cana-396	253	1	a	a	DET
cana-396	253	2	couple	couple	NOUN
cana-396	253	3	of	of	ADP
cana-396	253	4	fluids	fluid	NOUN
cana-396	253	5	or	or	CCONJ
cana-396	253	6	materials	material	NOUN
cana-396	253	7	alluded	allude	VERB
cana-396	253	8	to	to	ADP
cana-396	253	9	as	as	ADP
cana-396	253	10	"	"	PUNCT
cana-396	253	11	non	non	ADJ
cana-396	253	12	-	-	ADJ
cana-396	253	13	newtonian	newtonian	ADJ
cana-396	253	14	or	or	CCONJ
cana-396	253	15	complex	complex	ADJ
cana-396	253	16	fluids	fluid	NOUN
cana-396	253	17	"	"	PUNCT
cana-396	253	18	display	display	NOUN
cana-396	253	19	recognizably	recognizably	ADV
cana-396	253	20	more	more	ADV
cana-396	253	21	uncommon	uncommon	ADJ
cana-396	253	22	lead	lead	NOUN
cana-396	253	23	;	;	PUNCT
cana-396	253	24	their	their	PRON
cana-396	253	25	reaction	reaction	NOUN
cana-396	253	26	to	to	ADP
cana-396	253	27	twisting	twisting	NOUN
cana-396	253	28	might	might	AUX
cana-396	253	29	be	be	AUX
cana-396	253	30	affected	affect	VERB
cana-396	253	31	by	by	ADP
cana-396	253	32	the	the	DET
cana-396	253	33	accompanying	accompanying	ADJ
cana-396	253	34	variables	variable	NOUN
cana-396	253	35	:	:	PUNCT
cana-396	253	36	(	(	PUNCT
cana-396	253	37	i	i	NOUN
cana-396	253	38	)	)	PUNCT
cana-396	253	39	past	past	ADP
cana-396	253	40	history	history	NOUN
cana-396	253	41	(	(	PUNCT
cana-396	253	42	past	past	ADJ
cana-396	253	43	distortions	distortion	NOUN
cana-396	253	44	)	)	PUNCT
cana-396	253	45	,	,	PUNCT
cana-396	253	46	like	like	ADP
cana-396	253	47	a	a	DET
cana-396	253	48	couple	couple	NOUN
cana-396	253	49	of	of	ADP
cana-396	253	50	paints	paint	NOUN
cana-396	253	51	;	;	PUNCT
cana-396	253	52	(	(	PUNCT
cana-396	253	53	ii	ii	NOUN
cana-396	253	54	)	)	PUNCT
cana-396	253	55	temperature	temperature	NOUN
cana-396	253	56	,	,	PUNCT
cana-396	253	57	like	like	ADP
cana-396	253	58	a	a	DET
cana-396	253	59	couple	couple	NOUN
cana-396	253	60	of	of	ADP
cana-396	253	61	polymers	polymer	NOUN
cana-396	253	62	or	or	CCONJ
cana-396	253	63	glass	glass	NOUN
cana-396	253	64	;	;	PUNCT
cana-396	253	65	(	(	PUNCT
cana-396	253	66	iii	iii	X
cana-396	253	67	)	)	PUNCT
cana-396	253	68	the	the	DET
cana-396	253	69	extent	extent	NOUN
cana-396	253	70	of	of	ADP
cana-396	253	71	the	the	DET
cana-396	253	72	deformity	deformity	NOUN
cana-396	253	73	,	,	PUNCT
cana-396	253	74	like	like	ADP
cana-396	253	75	a	a	DET
cana-396	253	76	couple	couple	NOUN
cana-396	253	77	of	of	ADP
cana-396	253	78	plastics	plastic	NOUN
cana-396	253	79	or	or	CCONJ
cana-396	253	80	silly	silly	ADJ
cana-396	253	81	dirt	dirt	NOUN
cana-396	253	82	.	.	PUNCT
cana-396	254	1	references	reference	NOUN
cana-396	254	2	[	[	X
cana-396	254	3	1	1	X
cana-396	254	4	]	]	PUNCT
cana-396	254	5	abbott	abbott	PROPN
cana-396	254	6	m.b	m.b	PROPN
cana-396	254	7	.	.	PROPN
cana-396	254	8	and	and	CCONJ
cana-396	254	9	basco	basco	PROPN
cana-396	254	10	d.r	d.r	PROPN
cana-396	254	11	.	.	PROPN
cana-396	254	12	,computational	,computational	PUNCT
cana-396	254	13	fluid	fluid	ADJ
cana-396	254	14	dynamics	dynamic	NOUN
cana-396	254	15	:	:	PUNCT
cana-396	254	16	an	an	DET
cana-396	254	17	introduction	introduction	NOUN
cana-396	254	18	for	for	ADP
cana-396	254	19	engineers	engineer	NOUN
cana-396	254	20	,	,	PUNCT
cana-396	254	21	longman	longman	PROPN
cana-396	254	22	singapore	singapore	PROPN
cana-396	254	23	publishers	publisher	NOUN
cana-396	254	24	(	(	PUNCT
cana-396	254	25	pte	pte	PROPN
cana-396	254	26	)	)	PUNCT
cana-396	254	27	ltd	ltd	PROPN
cana-396	254	28	.	.	PROPN
cana-396	254	29	2015	2015	NUM
cana-396	254	30	.	.	PUNCT
cana-396	255	1	[	[	X
cana-396	255	2	2	2	NUM
cana-396	255	3	]	]	PUNCT
cana-396	255	4	c.	c.	NOUN
cana-396	255	5	großmann	großmann	PROPN
cana-396	255	6	and	and	CCONJ
cana-396	255	7	h.-g	h.-g	PROPN
cana-396	255	8	.	.	PUNCT
cana-396	256	1	roos	roo	NOUN
cana-396	256	2	,	,	PUNCT
cana-396	256	3	numerics	numeric	NOUN
cana-396	256	4	of	of	ADP
cana-396	256	5	partial	partial	ADJ
cana-396	256	6	differential	differential	NOUN
cana-396	256	7	equations	equation	NOUN
cana-396	256	8	.	.	PUNCT
cana-396	257	1	(	(	PUNCT
cana-396	257	2	numerik	numerik	ADJ
cana-396	257	3	partieller	partieller	NOUN
cana-396	257	4	differentialgleichungen	differentialgleichungen	NOUN
cana-396	257	5	.	.	PUNCT
cana-396	257	6	)	)	PUNCT
cana-396	257	7	,	,	PUNCT
cana-396	257	8	teubner	teubner	NOUN
cana-396	257	9	studienb¨ucher	studienb¨ucher	NOUN
cana-396	257	10	:	:	PUNCT
cana-396	258	1	mathematik	mathematik	PROPN
cana-396	258	2	.	.	PUNCT
cana-396	259	1	stuttgart	stuttgart	PROPN
cana-396	259	2	:	:	PUNCT
cana-396	259	3	b.g	b.g	PROPN
cana-396	259	4	.	.	PROPN
cana-396	259	5	teubner	teubner	NOUN
cana-396	259	6	.	.	PUNCT
cana-396	260	1	477	477	NUM
cana-396	261	1	p.	p.	NOUN
cana-396	261	2	,	,	PUNCT
cana-396	261	3	2012	2012	NUM
cana-396	261	4	.	.	PUNCT
cana-396	262	1	[	[	X
cana-396	262	2	3	3	NUM
cana-396	262	3	]	]	X
cana-396	262	4	chetverushkin	chetverushkin	X
cana-396	262	5	,	,	PUNCT
cana-396	262	6	b.	b.	PROPN
cana-396	262	7	n.	n.	PROPN
cana-396	262	8	,	,	PUNCT
cana-396	262	9	fitzgibbon	fitzgibbon	NOUN
cana-396	262	10	,	,	PUNCT
cana-396	262	11	w.	w.	PROPN
cana-396	262	12	,	,	PUNCT
cana-396	262	13	kuznetsov	kuznetsov	PROPN
cana-396	262	14	,	,	PUNCT
cana-396	262	15	y.	y.	PROPN
cana-396	262	16	a.	a.	PROPN
cana-396	262	17	,	,	PUNCT
cana-396	262	18	neittaanmäki	neittaanmäki	PROPN
cana-396	262	19	,	,	PUNCT
cana-396	262	20	p.	p.	NOUN
cana-396	262	21	,	,	PUNCT
cana-396	262	22	periaux	periaux	PROPN
cana-396	262	23	,	,	PUNCT
cana-396	262	24	j.	j.	PROPN
cana-396	262	25	,	,	PUNCT
cana-396	262	26	&	&	CCONJ
cana-396	262	27	pironneau	pironneau	PROPN
cana-396	262	28	,	,	PUNCT
cana-396	262	29	o.	o.	PROPN
cana-396	262	30	(	(	PUNCT
cana-396	262	31	eds	ed	NOUN
cana-396	262	32	.	.	PUNCT
cana-396	262	33	)	)	PUNCT
cana-396	262	34	.	.	PUNCT
cana-396	263	1	(	(	PUNCT
cana-396	263	2	2019	2019	NUM
cana-396	263	3	)	)	PUNCT
cana-396	263	4	.	.	PUNCT
cana-396	264	1	contributions	contribution	NOUN
cana-396	264	2	to	to	ADP
cana-396	264	3	partial	partial	ADJ
cana-396	264	4	differential	differential	ADJ
cana-396	264	5	equations	equation	NOUN
cana-396	264	6	and	and	CCONJ
cana-396	264	7	applications	application	NOUN
cana-396	264	8	.	.	PUNCT
cana-396	265	1	springer	springer	NOUN
cana-396	265	2	international	international	ADJ
cana-396	265	3	publishing	publishing	NOUN
cana-396	265	4	.	.	PUNCT
cana-396	266	1	[	[	X
cana-396	266	2	4	4	NUM
cana-396	266	3	]	]	X
cana-396	266	4	chorin	chorin	NOUN
cana-396	266	5	,	,	PUNCT
cana-396	266	6	a.j	a.j	PROPN
cana-396	266	7	.	.	PROPN
cana-396	266	8	and	and	CCONJ
cana-396	266	9	marsden	marsden	PROPN
cana-396	266	10	,	,	PUNCT
cana-396	266	11	j.e	j.e	PROPN
cana-396	266	12	.	.	PROPN
cana-396	266	13	2014	2014	NUM
cana-396	266	14	a	a	DET
cana-396	266	15	mathematical	mathematical	ADJ
cana-396	266	16	introduction	introduction	NOUN
cana-396	266	17	to	to	ADP
cana-396	266	18	fluid	fluid	ADJ
cana-396	266	19	mechanics	mechanic	NOUN
cana-396	266	20	,	,	PUNCT
cana-396	266	21	third	third	ADJ
cana-396	266	22	edition	edition	NOUN
cana-396	266	23	,	,	PUNCT
cana-396	266	24	springer{verlag	springer{verlag	PROPN
cana-396	266	25	,	,	PUNCT
cana-396	266	26	new	new	PROPN
cana-396	266	27	york	york	PROPN
cana-396	266	28	.	.	PUNCT
cana-396	267	1	p.-l	p.-l	PROPN
cana-396	267	2	.	.	PUNCT
cana-396	268	1	chow	chow	PROPN
cana-396	268	2	,	,	PUNCT
cana-396	268	3	stochastic	stochastic	ADJ
cana-396	268	4	partial	partial	ADJ
cana-396	268	5	differential	differential	NOUN
cana-396	268	6	equations	equation	NOUN
cana-396	268	7	,	,	PUNCT
cana-396	268	8	chapman	chapman	PROPN
cana-396	268	9	&	&	CCONJ
cana-396	268	10	hall	hall	PROPN
cana-396	268	11	/	/	SYM
cana-396	268	12	crc	crc	PROPN
cana-396	268	13	appliedmathematics	appliedmathematics	PROPN
cana-396	268	14	and	and	CCONJ
cana-396	268	15	nonlinear	nonlinear	PROPN
cana-396	268	16	science	science	PROPN
cana-396	268	17	series	series	PROPN
cana-396	268	18	.	.	PUNCT
cana-396	269	1	boca	boca	PROPN
cana-396	269	2	raton	raton	PROPN
cana-396	269	3	,	,	PUNCT
cana-396	269	4	fl	fl	PROPN
cana-396	269	5	:	:	PUNCT
cana-396	269	6	chapman	chapman	PROPN
cana-396	269	7	&	&	CCONJ
cana-396	269	8	hall	hall	PROPN
cana-396	269	9	/	/	SYM
cana-396	269	10	crc	crc	PROPN
cana-396	269	11	.	.	PUNCT
cana-396	270	1	ix,281	ix,281	ADP
cana-396	270	2	p.	p.	PROPN
cana-396	270	3	,	,	PUNCT
cana-396	270	4	2014	2014	NUM
cana-396	270	5	.	.	PUNCT
cana-396	271	1	[	[	X
cana-396	271	2	5	5	NUM
cana-396	271	3	]	]	PUNCT
cana-396	271	4	debnath	debnath	NOUN
cana-396	271	5	,	,	PUNCT
cana-396	271	6	l.	l.	PROPN
cana-396	271	7	,	,	PUNCT
cana-396	271	8	&	&	CCONJ
cana-396	271	9	debnath	debnath	PROPN
cana-396	271	10	,	,	PUNCT
cana-396	271	11	l.	l.	PROPN
cana-396	271	12	(	(	PUNCT
cana-396	271	13	2005	2005	NUM
cana-396	271	14	)	)	PUNCT
cana-396	271	15	.	.	PUNCT
cana-396	272	1	nonlinear	nonlinear	ADJ
cana-396	272	2	partial	partial	ADJ
cana-396	272	3	differential	differential	ADJ
cana-396	272	4	equations	equation	NOUN
cana-396	272	5	for	for	ADP
cana-396	272	6	scientists	scientist	NOUN
cana-396	272	7	and	and	CCONJ
cana-396	272	8	engineers	engineer	NOUN
cana-396	272	9	(	(	PUNCT
cana-396	272	10	pp	pp	ADJ
cana-396	272	11	.	.	PUNCT
cana-396	273	1	528	528	NUM
cana-396	273	2	-	-	SYM
cana-396	273	3	529	529	NUM
cana-396	273	4	)	)	PUNCT
cana-396	273	5	.	.	PUNCT
cana-396	274	1	boston	boston	PROPN
cana-396	274	2	:	:	PUNCT
cana-396	274	3	birkhäuser	birkhäuser	ADJ
cana-396	274	4	.	.	PUNCT
cana-396	275	1	[	[	X
cana-396	275	2	6	6	NUM
cana-396	275	3	]	]	PUNCT
cana-396	275	4	dobek	dobek	PROPN
cana-396	275	5	,	,	PUNCT
cana-396	275	6	steven	steven	PROPN
cana-396	275	7	,	,	PUNCT
cana-396	275	8	2012	2012	NUM
cana-396	275	9	.	.	PUNCT
cana-396	275	10	fluid	fluid	ADJ
cana-396	275	11	dynamics	dynamic	NOUN
cana-396	275	12	and	and	CCONJ
cana-396	275	13	the	the	DET
cana-396	275	14	navier	navier	NOUN
cana-396	275	15	-	-	PUNCT
cana-396	275	16	stokes	stoke	NOUN
cana-396	275	17	equation	equation	NOUN
cana-396	275	18	.	.	PUNCT
cana-396	276	1	cmsc498a	cmsc498a	ADV
cana-396	276	2	:	:	PUNCT
cana-396	276	3	spring	spring	NOUN
cana-396	276	4	’	'	PUNCT
cana-396	276	5	12	12	NUM
cana-396	276	6	semester	semester	NOUN
cana-396	276	7	[	[	X
cana-396	276	8	7	7	NUM
cana-396	276	9	]	]	X
cana-396	276	10	fefferman	fefferman	ADJ
cana-396	276	11	,	,	PUNCT
cana-396	276	12	c.	c.	PROPN
cana-396	276	13	l.	l.	PROPN
cana-396	276	14	,	,	PUNCT
cana-396	276	15	robinson	robinson	PROPN
cana-396	276	16	,	,	PUNCT
cana-396	276	17	j.	j.	PROPN
cana-396	276	18	c.	c.	PROPN
cana-396	276	19	,	,	PUNCT
cana-396	276	20	diez	diez	PROPN
cana-396	276	21	,	,	PUNCT
cana-396	276	22	j.	j.	PROPN
cana-396	276	23	l.	l.	PROPN
cana-396	276	24	r.	r.	PROPN
cana-396	276	25	,	,	PUNCT
cana-396	276	26	&	&	CCONJ
cana-396	276	27	rodrigo	rodrigo	PROPN
cana-396	276	28	,	,	PUNCT
cana-396	276	29	j.	j.	PROPN
cana-396	276	30	l.	l.	PROPN
cana-396	276	31	(	(	PUNCT
cana-396	276	32	eds	eds	PROPN
cana-396	276	33	.	.	PUNCT
cana-396	276	34	)	)	PUNCT
cana-396	276	35	.	.	PUNCT
cana-396	277	1	(	(	PUNCT
cana-396	277	2	2018	2018	NUM
cana-396	277	3	)	)	PUNCT
cana-396	277	4	.	.	PUNCT
cana-396	278	1	partial	partial	ADJ
cana-396	278	2	differential	differential	ADJ
cana-396	278	3	equations	equation	NOUN
cana-396	278	4	in	in	ADP
cana-396	278	5	fluid	fluid	ADJ
cana-396	278	6	mechanics	mechanic	NOUN
cana-396	278	7	(	(	PUNCT
cana-396	278	8	vol	vol	NOUN
cana-396	278	9	.	.	PROPN
cana-396	278	10	452	452	NUM
cana-396	278	11	)	)	PUNCT
cana-396	278	12	.	.	PUNCT
cana-396	279	1	cambridge	cambridge	PROPN
cana-396	279	2	university	university	PROPN
cana-396	279	3	press	press	NOUN
cana-396	279	4	.	.	PUNCT
cana-396	280	1	[	[	X
cana-396	280	2	8	8	NUM
cana-396	280	3	]	]	X
cana-396	280	4	fritz	fritz	PROPN
cana-396	280	5	john	john	PROPN
cana-396	280	6	,	,	PUNCT
cana-396	280	7	partial	partial	ADJ
cana-396	280	8	di_erential	di_erential	ADJ
cana-396	280	9	equations	equation	NOUN
cana-396	280	10	(	(	PUNCT
cana-396	280	11	3th	3th	ADJ
cana-396	280	12	edn	edn	NOUN
cana-396	280	13	)	)	PUNCT
cana-396	280	14	,	,	PUNCT
cana-396	280	15	applied	apply	VERB
cana-396	280	16	mathematical	mathematical	ADJ
cana-396	280	17	sciences	science	NOUN
cana-396	280	18	1	1	NUM
cana-396	280	19	,	,	PUNCT
cana-396	280	20	springerverlag	springerverlag	NOUN
cana-396	280	21	,	,	PUNCT
cana-396	280	22	heidelberg	heidelberg	NOUN
cana-396	280	23	-	-	PUNCT
cana-396	280	24	berlin	berlin	PROPN
cana-396	280	25	-	-	PUNCT
cana-396	280	26	new	new	PROPN
cana-396	280	27	york	york	PROPN
cana-396	280	28	,	,	PUNCT
cana-396	280	29	2011	2011	NUM
cana-396	280	30	.	.	PUNCT
cana-396	281	1	[	[	X
cana-396	281	2	9	9	NUM
cana-396	281	3	]	]	SYM
cana-396	281	4	geroch	geroch	NOUN
cana-396	281	5	,	,	PUNCT
cana-396	281	6	r.	r.	PROPN
cana-396	281	7	(	(	PUNCT
cana-396	281	8	2017	2017	NUM
cana-396	281	9	)	)	PUNCT
cana-396	281	10	.	.	PUNCT
cana-396	282	1	partial	partial	ADJ
cana-396	282	2	differential	differential	ADJ
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cana-396	282	4	of	of	ADP
cana-396	282	5	physics	physics	PROPN
cana-396	282	6	.	.	PUNCT
cana-396	283	1	in	in	ADP
cana-396	283	2	general	general	ADJ
cana-396	283	3	relativity	relativity	NOUN
cana-396	283	4	(	(	PUNCT
cana-396	283	5	pp	pp	ADJ
cana-396	283	6	.	.	PUNCT
cana-396	284	1	19	19	NUM
cana-396	284	2	-	-	SYM
cana-396	284	3	60	60	NUM
cana-396	284	4	)	)	PUNCT
cana-396	284	5	.	.	PUNCT
cana-396	285	1	routledge	routledge	PROPN
cana-396	285	2	.	.	PUNCT
cana-396	286	1	[	[	X
cana-396	286	2	10	10	NUM
cana-396	286	3	]	]	X
cana-396	286	4	herman	herman	PROPN
cana-396	286	5	,	,	PUNCT
cana-396	286	6	r.	r.	PROPN
cana-396	286	7	l.	l.	PROPN
cana-396	286	8	(	(	PUNCT
cana-396	286	9	2015	2015	NUM
cana-396	286	10	)	)	PUNCT
cana-396	286	11	.	.	PUNCT
cana-396	287	1	introduction	introduction	NOUN
cana-396	287	2	to	to	ADP
cana-396	287	3	partial	partial	ADJ
cana-396	287	4	differential	differential	NOUN
cana-396	287	5	equations	equation	NOUN
cana-396	287	6	.	.	PUNCT
cana-396	288	1	north	north	PROPN
cana-396	288	2	carolina	carolina	PROPN
cana-396	288	3	,	,	PUNCT
cana-396	288	4	nc	nc	PROPN
cana-396	288	5	,	,	PUNCT
cana-396	288	6	usa	usa	PROPN
cana-396	288	7	:	:	PUNCT
cana-396	288	8	rl	rl	PROPN
cana-396	288	9	herman	herman	NOUN
cana-396	288	10	.	.	PUNCT
cana-396	289	1	[	[	X
cana-396	289	2	11	11	NUM
cana-396	289	3	]	]	PUNCT
cana-396	289	4	herron	herron	PROPN
cana-396	289	5	,	,	PUNCT
cana-396	289	6	i.	i.	PROPN
cana-396	289	7	h.	h.	PROPN
cana-396	289	8	(	(	PUNCT
cana-396	289	9	2008	2008	NUM
cana-396	289	10	)	)	PUNCT
cana-396	289	11	.	.	PUNCT
cana-396	290	1	partial	partial	ADJ
cana-396	290	2	differential	differential	ADJ
cana-396	290	3	equations	equation	NOUN
cana-396	290	4	in	in	ADP
cana-396	290	5	fluid	fluid	ADJ
cana-396	290	6	dynamics	dynamic	NOUN
cana-396	290	7	.	.	PUNCT
cana-396	291	1	cambridge	cambridge	PROPN
cana-396	291	2	university	university	PROPN
cana-396	291	3	.	.	PUNCT
cana-396	292	1	[	[	X
cana-396	292	2	12	12	NUM
cana-396	292	3	]	]	X
cana-396	292	4	iseries	iseries	PROPN
cana-396	292	5	a.	a.	PROPN
cana-396	292	6	,	,	PUNCT
cana-396	292	7	a	a	DET
cana-396	292	8	first	first	ADJ
cana-396	292	9	course	course	NOUN
cana-396	292	10	in	in	ADP
cana-396	292	11	the	the	DET
cana-396	292	12	numerical	numerical	ADJ
cana-396	292	13	solutions	solution	NOUN
cana-396	292	14	of	of	ADP
cana-396	292	15	differential	differential	ADJ
cana-396	292	16	equations	equation	NOUN
cana-396	292	17	,	,	PUNCT
cana-396	292	18	cambridge	cambridge	PROPN
cana-396	292	19	university	university	PROPN
cana-396	292	20	press	press	PROPN
cana-396	292	21	,	,	PUNCT
cana-396	292	22	cambridge	cambridge	PROPN
cana-396	292	23	,	,	PUNCT
cana-396	292	24	england	england	PROPN
cana-396	292	25	,	,	PUNCT
cana-396	292	26	2014	2014	NUM
cana-396	292	27	.	.	PUNCT
cana-396	293	1	communications	communication	NOUN
cana-396	293	2	on	on	ADP
cana-396	293	3	applied	apply	VERB
cana-396	293	4	nonlinear	nonlinear	ADJ
cana-396	293	5	analysis	analysis	NOUN
cana-396	293	6	issn	issn	NOUN
cana-396	293	7	:	:	PUNCT
cana-396	293	8	1074	1074	NUM
cana-396	293	9	-	-	PUNCT
cana-396	293	10	133x	133x	NUM
cana-396	293	11	vol	vol	NOUN
cana-396	293	12	31	31	NUM
cana-396	293	13	no	no	NOUN
cana-396	293	14	.	.	NOUN
cana-396	293	15	1	1	NUM
cana-396	293	16	(	(	PUNCT
cana-396	293	17	2024	2024	NUM
cana-396	293	18	)	)	PUNCT
cana-396	293	19	220	220	NUM
cana-396	293	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-396	294	1	[	[	X
cana-396	294	2	13	13	NUM
cana-396	294	3	]	]	PUNCT
cana-396	294	4	je_rey	je_rey	PROPN
cana-396	294	5	rauch	rauch	PROPN
cana-396	294	6	,	,	PUNCT
cana-396	294	7	partial	partial	ADJ
cana-396	294	8	di_erential	di_erential	ADJ
cana-396	294	9	equations	equation	NOUN
cana-396	294	10	,	,	PUNCT
cana-396	294	11	graduate	graduate	NOUN
cana-396	294	12	text	text	NOUN
cana-396	294	13	in	in	ADP
cana-396	294	14	mathematics	mathematics	PROPN
cana-396	294	15	128	128	NUM
cana-396	294	16	,	,	PUNCT
cana-396	294	17	springerverlag	springerverlag	NOUN
cana-396	294	18	,	,	PUNCT
cana-396	294	19	heidelberg	heidelberg	NOUN
cana-396	294	20	-	-	PUNCT
cana-396	294	21	berlin	berlin	PROPN
cana-396	294	22	-	-	PUNCT
cana-396	294	23	new	new	PROPN
cana-396	294	24	york	york	PROPN
cana-396	294	25	,	,	PUNCT
cana-396	294	26	2011	2011	NUM
cana-396	294	27	.	.	PUNCT
cana-396	295	1	[	[	X
cana-396	295	2	14	14	NUM
cana-396	295	3	]	]	SYM
cana-396	295	4	kotake	kotake	PROPN
cana-396	295	5	t	t	PROPN
cana-396	295	6	and	and	CCONJ
cana-396	295	7	narasimhan	narasimhan	PROPN
cana-396	295	8	m	m	PROPN
cana-396	295	9	s	s	PROPN
cana-396	295	10	2012	2012	NUM
cana-396	295	11	.	.	PUNCT
cana-396	296	1	regularity	regularity	NOUN
cana-396	296	2	theorems	theorem	NOUN
cana-396	296	3	for	for	ADP
cana-396	296	4	fractional	fractional	ADJ
cana-396	296	5	powers	power	NOUN
cana-396	296	6	of	of	ADP
cana-396	296	7	a	a	DET
cana-396	296	8	linear	linear	ADJ
cana-396	296	9	elliptic	elliptic	ADJ
cana-396	296	10	operator	operator	NOUN
cana-396	296	11	;	;	PUNCT
cana-396	296	12	bull	bull	NOUN
cana-396	296	13	.	.	PUNCT
cana-396	297	1	soc	soc	PROPN
cana-396	297	2	.	.	PUNCT
cana-396	298	1	math	math	NOUN
cana-396	298	2	.	.	PUNCT
cana-396	299	1	france	france	PROPN
cana-396	299	2	90	90	NUM
cana-396	299	3	449–471	449–471	NUM
cana-396	299	4	.	.	PUNCT
cana-396	300	1	[	[	X
cana-396	300	2	15	15	NUM
cana-396	300	3	]	]	PUNCT
cana-396	300	4	milsom	milsom	NOUN
cana-396	300	5	,	,	PUNCT
cana-396	300	6	j.	j.	PROPN
cana-396	300	7	(	(	PUNCT
cana-396	300	8	2003	2003	NUM
cana-396	300	9	)	)	PUNCT
cana-396	300	10	.	.	PUNCT
cana-396	301	1	field	field	NOUN
cana-396	301	2	geophysics	geophysic	NOUN
cana-396	301	3	.	.	PUNCT
cana-396	302	1	the	the	DET
cana-396	302	2	geological	geological	ADJ
cana-396	302	3	field	field	NOUN
cana-396	302	4	guide	guide	NOUN
cana-396	302	5	series	series	NOUN
cana-396	302	6	.	.	PUNCT
cana-396	303	1	25	25	NUM
cana-396	303	2	.	.	PUNCT
cana-396	304	1	john	john	PROPN
cana-396	304	2	wiley	wiley	PROPN
cana-396	304	3	and	and	CCONJ
cana-396	304	4	sons	son	NOUN
cana-396	304	5	.	.	PUNCT
cana-396	305	1	p.	p.	NOUN
cana-396	305	2	232	232	NUM
cana-396	305	3	.	.	PUNCT
cana-396	306	1	isbn	isbn	ADJ
cana-396	306	2	978	978	NUM
cana-396	306	3	-	-	SYM
cana-396	306	4	0	0	NUM
cana-396	306	5	-	-	PUNCT
cana-396	306	6	470	470	NUM
cana-396	306	7	-	-	PUNCT
cana-396	306	8	84347	84347	NUM
cana-396	306	9	-	-	SYM
cana-396	306	10	5	5	NUM
cana-396	306	11	.	.	PUNCT
cana-396	306	12	retrieved	retrieve	VERB
cana-396	306	13	2010	2010	NUM
cana-396	306	14	-	-	SYM
cana-396	306	15	02	02	NUM
cana-396	306	16	-	-	PUNCT
cana-396	306	17	25	25	NUM
cana-396	306	18	.	.	PUNCT
cana-396	307	1	[	[	X
cana-396	307	2	16	16	NUM
cana-396	307	3	]	]	X
cana-396	307	4	minakshisundaram	minakshisundaram	PROPN
cana-396	307	5	s	s	PROPN
cana-396	307	6	and	and	CCONJ
cana-396	307	7	pleijel	pleijel	VERB
cana-396	307	8	a	a	DET
cana-396	307	9	2013	2013	NUM
cana-396	307	10	.	.	PUNCT
cana-396	308	1	some	some	DET
cana-396	308	2	properties	property	NOUN
cana-396	308	3	of	of	ADP
cana-396	308	4	the	the	DET
cana-396	308	5	eigenfunctions	eigenfunction	NOUN
cana-396	308	6	of	of	ADP
cana-396	308	7	the	the	DET
cana-396	308	8	laplace	laplace	NOUN
cana-396	308	9	operator	operator	NOUN
cana-396	308	10	on	on	ADP
cana-396	308	11	riemannian	riemannian	ADJ
cana-396	308	12	manifolds	manifold	NOUN
cana-396	308	13	;	;	PUNCT
cana-396	308	14	canadian	canadian	ADJ
cana-396	308	15	j.	j.	PROPN
cana-396	308	16	math	math	PROPN
cana-396	308	17	.	.	PUNCT
cana-396	309	1	1	1	NUM
cana-396	309	2	242–256	242–256	NUM
cana-396	309	3	.	.	PUNCT
cana-396	310	1	[	[	X
cana-396	310	2	17	17	NUM
cana-396	310	3	]	]	X
cana-396	310	4	murthy	murthy	PROPN
cana-396	310	5	m	m	PROPN
cana-396	310	6	k	k	PROPN
cana-396	310	7	v	v	NOUN
cana-396	310	8	and	and	CCONJ
cana-396	310	9	stampacchia	stampacchia	VERB
cana-396	310	10	g	g	ADP
cana-396	310	11	2012	2012	NUM
cana-396	310	12	a	a	DET
cana-396	310	13	variational	variational	ADJ
cana-396	310	14	inequality	inequality	NOUN
cana-396	310	15	with	with	ADP
cana-396	310	16	mixed	mixed	ADJ
cana-396	310	17	boundary	boundary	ADJ
cana-396	310	18	conditions	condition	NOUN
cana-396	310	19	;	;	PUNCT
cana-396	310	20	israel	israel	PROPN
cana-396	310	21	j.	j.	PROPN
cana-396	310	22	math	math	PROPN
cana-396	310	23	.	.	PUNCT
cana-396	311	1	13	13	NUM
cana-396	311	2	188–224	188–224	NUM
cana-396	311	3	.	.	PUNCT
cana-396	312	1	[	[	X
cana-396	312	2	18	18	NUM
cana-396	312	3	]	]	X
cana-396	312	4	p.a	p.a	PROPN
cana-396	312	5	.	.	PROPN
cana-396	312	6	markowich	markowich	PROPN
cana-396	312	7	and	and	CCONJ
cana-396	312	8	c.	c.	PROPN
cana-396	312	9	sparber	sparber	PROPN
cana-396	312	10	,	,	PUNCT
cana-396	312	11	2004	2004	NUM
cana-396	312	12	.	.	PUNCT
cana-396	313	1	highly	highly	ADV
cana-396	313	2	oscillatory	oscillatory	ADJ
cana-396	313	3	partial	partial	ADJ
cana-396	313	4	differential	differential	NOUN
cana-396	313	5	equations	equation	NOUN
cana-396	313	6	,	,	PUNCT
cana-396	313	7	in	in	ADP
cana-396	313	8	:	:	PUNCT
cana-396	313	9	applied	applied	ADJ
cana-396	313	10	mathematics	mathematic	NOUN
cana-396	313	11	entering	enter	VERB
cana-396	313	12	the	the	DET
cana-396	313	13	21st	21st	ADJ
cana-396	313	14	century	century	NOUN
cana-396	313	15	:	:	PUNCT
cana-396	313	16	invited	invite	VERB
cana-396	313	17	talks	talk	NOUN
cana-396	313	18	from	from	ADP
cana-396	313	19	the	the	DET
cana-396	313	20	iciam	iciam	PROPN
cana-396	313	21	2003	2003	NUM
cana-396	313	22	congress	congress	PROPN
cana-396	313	23	,	,	PUNCT
cana-396	313	24	james	james	PROPN
cana-396	313	25	m.	m.	PROPN
cana-396	313	26	hill	hill	PROPN
cana-396	313	27	and	and	CCONJ
cana-396	313	28	ross	ross	PROPN
cana-396	313	29	moore	moore	PROPN
cana-396	313	30	,	,	PUNCT
cana-396	313	31	editors	editor	NOUN
cana-396	313	32	,	,	PUNCT
cana-396	313	33	siam	siam	ADJ
cana-396	313	34	proceedings	proceeding	NOUN
cana-396	313	35	in	in	ADP
cana-396	313	36	applied	apply	VERB
cana-396	313	37	mathematics	mathematic	NOUN
cana-396	313	38	116	116	NUM
cana-396	313	39	.	.	PUNCT
cana-396	314	1	[	[	X
cana-396	314	2	19	19	NUM
cana-396	314	3	]	]	PUNCT
cana-396	314	4	whitham	whitham	NOUN
cana-396	314	5	,	,	PUNCT
cana-396	314	6	g.	g.	PROPN
cana-396	314	7	b.	b.	PROPN
cana-396	314	8	(	(	PUNCT
cana-396	314	9	2011	2011	NUM
cana-396	314	10	)	)	PUNCT
cana-396	314	11	.	.	PUNCT
cana-396	315	1	linear	linear	ADJ
cana-396	315	2	and	and	CCONJ
cana-396	315	3	nonlinear	nonlinear	ADJ
cana-396	315	4	waves	wave	NOUN
cana-396	315	5	(	(	PUNCT
cana-396	315	6	vol	vol	NOUN
cana-396	315	7	.	.	PROPN
cana-396	315	8	42	42	NUM
cana-396	315	9	)	)	PUNCT
cana-396	315	10	.	.	PUNCT
cana-396	316	1	john	john	PROPN
cana-396	316	2	wiley	wiley	PROPN
cana-396	316	3	&	&	CCONJ
cana-396	316	4	sons	son	NOUN
cana-396	316	5	.	.	PUNCT
cana-396	317	1	[	[	X
cana-396	317	2	20	20	NUM
cana-396	317	3	]	]	PUNCT
cana-396	317	4	william	william	PROPN
cana-396	317	5	boyce	boyce	PROPN
cana-396	317	6	and	and	CCONJ
cana-396	317	7	richard	richard	PROPN
cana-396	317	8	diprima	diprima	PROPN
cana-396	317	9	.	.	PROPN
cana-396	317	10	2005	2005	NUM
cana-396	317	11	.	.	PUNCT
cana-396	318	1	elementary	elementary	ADJ
cana-396	318	2	differential	differential	PROPN
cana-396	318	3	equations	equation	NOUN
cana-396	318	4	and	and	CCONJ
cana-396	318	5	boundary	boundary	ADJ
cana-396	318	6	value	value	NOUN
cana-396	318	7	problems	problem	NOUN
cana-396	318	8	.	.	PUNCT
cana-396	319	1	john	john	PROPN
cana-396	319	2	wiley	wiley	PROPN
cana-396	319	3	&	&	CCONJ
cana-396	319	4	sons	sons	PROPN
cana-396	319	5	ltd	ltd	PROPN
cana-396	319	6	.	.	PROPN
cana-396	319	7	,	,	PUNCT
cana-396	319	8	hoboken	hoboken	PROPN
cana-396	319	9	,	,	PUNCT
cana-396	319	10	n.j	n.j	PROPN
cana-396	319	11	.	.	PROPN
cana-396	319	12	,	,	PUNCT
cana-396	319	13	eight	eight	NUM
cana-396	319	14	edition	edition	NOUN
cana-396	319	15	.	.	PUNCT