id	sid	tid	token	lemma	pos
cana-589	1	1	communications	communication	NOUN
cana-589	1	2	on	on	ADP
cana-589	1	3	applied	apply	VERB
cana-589	1	4	nonlinear	nonlinear	ADJ
cana-589	1	5	analysis	analysis	NOUN
cana-589	1	6	issn	issn	NOUN
cana-589	1	7	:	:	PUNCT
cana-589	1	8	1074	1074	NUM
cana-589	1	9	-	-	PUNCT
cana-589	1	10	133x	133x	NUM
cana-589	1	11	vol	vol	NOUN
cana-589	1	12	31	31	NUM
cana-589	1	13	no	no	NOUN
cana-589	1	14	.	.	PUNCT
cana-589	2	1	2s	2s	NUM
cana-589	2	2	(	(	PUNCT
cana-589	2	3	2024	2024	NUM
cana-589	2	4	)	)	PUNCT
cana-589	2	5	17	17	NUM
cana-589	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-589	2	7	some	some	DET
cana-589	2	8	exact	exact	ADJ
cana-589	2	9	solutions	solution	NOUN
cana-589	2	10	of	of	ADP
cana-589	2	11	unsteady	unsteady	ADJ
cana-589	2	12	viscous	viscous	ADJ
cana-589	2	13	incompressible	incompressible	ADJ
cana-589	2	14	fluid	fluid	NOUN
cana-589	2	15	flows	flow	NOUN
cana-589	2	16	with	with	ADP
cana-589	2	17	topology	topology	NOUN
cana-589	2	18	conservation	conservation	NOUN
cana-589	2	19	of	of	ADP
cana-589	2	20	vorticity	vorticity	NOUN
cana-589	2	21	vector	vector	NOUN
cana-589	2	22	field	field	NOUN
cana-589	2	23	by	by	ADP
cana-589	2	24	ansatz	ansatz	ADJ
cana-589	2	25	method	method	NOUN
cana-589	2	26	ms	ms	PROPN
cana-589	2	27	.	.	PROPN
cana-589	2	28	n.	n.	PROPN
cana-589	2	29	punitha1	punitha1	PROPN
cana-589	2	30	,	,	PUNCT
cana-589	2	31	dr	dr	PROPN
cana-589	2	32	.	.	PROPN
cana-589	2	33	a.	a.	PROPN
cana-589	2	34	kalavathi	kalavathi	PROPN
cana-589	2	35	2	2	NUM
cana-589	2	36	,	,	PUNCT
cana-589	2	37	ms	ms	PROPN
cana-589	2	38	.	.	PROPN
cana-589	2	39	a.	a.	PROPN
cana-589	2	40	saranya3	saranya3	PROPN
cana-589	3	1	1department	1department	NUM
cana-589	3	2	of	of	ADP
cana-589	3	3	mathematics	mathematic	NOUN
cana-589	3	4	,	,	PUNCT
cana-589	3	5	dr	dr	PROPN
cana-589	3	6	.	.	PROPN
cana-589	3	7	mahalingam	mahalingam	PROPN
cana-589	3	8	college	college	PROPN
cana-589	3	9	of	of	ADP
cana-589	3	10	engineering	engineering	NOUN
cana-589	3	11	and	and	CCONJ
cana-589	3	12	technology	technology	NOUN
cana-589	3	13	,	,	PUNCT
cana-589	3	14	pollachi	pollachi	PROPN
cana-589	3	15	,	,	PUNCT
cana-589	3	16	tamil	tamil	PROPN
cana-589	3	17	nadu	nadu	PROPN
cana-589	3	18	642003	642003	NUM
cana-589	3	19	g	g	NOUN
cana-589	3	20	-	-	PUNCT
cana-589	3	21	mail	mail	NOUN
cana-589	3	22	:	:	PUNCT
cana-589	4	1	thirunithasiddhu@gmail.com	thirunithasiddhu@gmail.com	X
cana-589	5	1	2department	2department	NUM
cana-589	5	2	of	of	ADP
cana-589	5	3	mathematics	mathematic	NOUN
cana-589	5	4	,	,	PUNCT
cana-589	5	5	sri	sri	PROPN
cana-589	5	6	gvg	gvg	PROPN
cana-589	5	7	visalakshi	visalakshi	PROPN
cana-589	5	8	college	college	PROPN
cana-589	5	9	for	for	ADP
cana-589	5	10	women	woman	NOUN
cana-589	5	11	,	,	PUNCT
cana-589	5	12	udumalpet	udumalpet	ADJ
cana-589	5	13	,	,	PUNCT
cana-589	5	14	tamilnadu	tamilnadu	NOUN
cana-589	5	15	,	,	PUNCT
cana-589	5	16	642128	642128	NUM
cana-589	5	17	g	g	NOUN
cana-589	5	18	-	-	PUNCT
cana-589	5	19	mail	mail	NOUN
cana-589	5	20	:	:	PUNCT
cana-589	5	21	kalavathigvg2018@gmail	kalavathigvg2018@gmail	NOUN
cana-589	5	22	.	.	PUNCT
cana-589	5	23	com	com	PROPN
cana-589	6	1	3department	3department	PROPN
cana-589	6	2	of	of	ADP
cana-589	6	3	mathematics	mathematic	NOUN
cana-589	6	4	,	,	PUNCT
cana-589	6	5	dr	dr	PROPN
cana-589	6	6	.	.	PROPN
cana-589	6	7	mahalingam	mahalingam	PROPN
cana-589	6	8	college	college	PROPN
cana-589	6	9	of	of	ADP
cana-589	6	10	engineering	engineering	NOUN
cana-589	6	11	and	and	CCONJ
cana-589	6	12	technology	technology	NOUN
cana-589	6	13	,	,	PUNCT
cana-589	6	14	pollachi	pollachi	PROPN
cana-589	6	15	,	,	PUNCT
cana-589	6	16	tamil	tamil	PROPN
cana-589	6	17	nadu	nadu	PROPN
cana-589	6	18	642003	642003	NUM
cana-589	6	19	g	g	NOUN
cana-589	6	20	-	-	PUNCT
cana-589	6	21	mail	mail	NOUN
cana-589	6	22	:	:	PUNCT
cana-589	7	1	saranyasaraswathy@gmail.com	saranyasaraswathy@gmail.com	X
cana-589	7	2	article	article	NOUN
cana-589	7	3	history	history	NOUN
cana-589	7	4	:	:	PUNCT
cana-589	7	5	received	receive	VERB
cana-589	7	6	:	:	PUNCT
cana-589	7	7	19	19	NUM
cana-589	7	8	-	-	PUNCT
cana-589	7	9	02	02	NUM
cana-589	7	10	-	-	PUNCT
cana-589	7	11	2024	2024	NUM
cana-589	7	12	revised	revise	VERB
cana-589	7	13	:	:	PUNCT
cana-589	7	14	22	22	NUM
cana-589	7	15	-	-	PUNCT
cana-589	7	16	04	04	NUM
cana-589	7	17	-	-	PUNCT
cana-589	7	18	2024	2024	NUM
cana-589	7	19	accepted	accept	VERB
cana-589	7	20	:	:	PUNCT
cana-589	7	21	06	06	NUM
cana-589	7	22	-	-	SYM
cana-589	7	23	05	05	NUM
cana-589	7	24	-	-	PUNCT
cana-589	7	25	2024	2024	NUM
cana-589	7	26	abstract	abstract	NOUN
cana-589	7	27	:	:	PUNCT
cana-589	7	28	navier	navier	NOUN
cana-589	7	29	-	-	PUNCT
cana-589	7	30	stokes	stoke	NOUN
cana-589	7	31	equations	equation	NOUN
cana-589	7	32	for	for	ADP
cana-589	7	33	an	an	DET
cana-589	7	34	unstable	unstable	ADJ
cana-589	7	35	incompressible	incompressible	ADJ
cana-589	7	36	fluid	fluid	ADJ
cana-589	7	37	flow	flow	NOUN
cana-589	7	38	with	with	ADP
cana-589	7	39	conservative	conservative	ADJ
cana-589	7	40	body	body	NOUN
cana-589	7	41	forces	force	NOUN
cana-589	7	42	are	be	AUX
cana-589	7	43	discussed	discuss	VERB
cana-589	7	44	in	in	ADP
cana-589	7	45	this	this	DET
cana-589	7	46	article	article	NOUN
cana-589	7	47	.	.	PUNCT
cana-589	8	1	under	under	ADP
cana-589	8	2	topology	topology	NOUN
cana-589	8	3	conservation	conservation	NOUN
cana-589	8	4	of	of	ADP
cana-589	8	5	vector	vector	NOUN
cana-589	8	6	fields	field	NOUN
cana-589	8	7	,	,	PUNCT
cana-589	8	8	the	the	DET
cana-589	8	9	governing	govern	VERB
cana-589	8	10	equations	equation	NOUN
cana-589	8	11	are	be	AUX
cana-589	8	12	derived	derive	VERB
cana-589	8	13	.	.	PUNCT
cana-589	9	1	it	it	PRON
cana-589	9	2	is	be	AUX
cana-589	9	3	assumed	assume	VERB
cana-589	9	4	that	that	SCONJ
cana-589	9	5	the	the	DET
cana-589	9	6	fluid	fluid	ADJ
cana-589	9	7	flow	flow	NOUN
cana-589	9	8	velocity	velocity	NOUN
cana-589	9	9	acts	act	VERB
cana-589	9	10	as	as	ADP
cana-589	9	11	a	a	DET
cana-589	9	12	generating	generate	VERB
cana-589	9	13	vector	vector	NOUN
cana-589	9	14	field	field	NOUN
cana-589	9	15	.	.	PUNCT
cana-589	10	1	viscous	viscous	ADJ
cana-589	10	2	fluid	fluid	NOUN
cana-589	10	3	flows	flow	NOUN
cana-589	10	4	were	be	AUX
cana-589	10	5	also	also	ADV
cana-589	10	6	generated	generate	VERB
cana-589	10	7	using	use	VERB
cana-589	10	8	topology	topology	NOUN
cana-589	10	9	conserving	conserve	VERB
cana-589	10	10	vorticity	vorticity	NOUN
cana-589	10	11	vector	vector	NOUN
cana-589	10	12	fields	field	NOUN
cana-589	10	13	.	.	PUNCT
cana-589	11	1	graphs	graph	NOUN
cana-589	11	2	show	show	VERB
cana-589	11	3	the	the	DET
cana-589	11	4	vectors	vector	NOUN
cana-589	11	5	of	of	ADP
cana-589	11	6	velocity	velocity	NOUN
cana-589	11	7	for	for	ADP
cana-589	11	8	different	different	ADJ
cana-589	11	9	fluids	fluid	NOUN
cana-589	11	10	.	.	PUNCT
cana-589	12	1	keywords	keyword	NOUN
cana-589	12	2	:	:	PUNCT
cana-589	12	3	topological	topological	ADJ
cana-589	12	4	conservation	conservation	NOUN
cana-589	12	5	,	,	PUNCT
cana-589	12	6	navier	navier	NOUN
cana-589	12	7	-	-	PUNCT
cana-589	12	8	stoke	stoke	NOUN
cana-589	12	9	equation	equation	NOUN
cana-589	12	10	,	,	PUNCT
cana-589	12	11	vorticity	vorticity	NOUN
cana-589	12	12	equation	equation	NOUN
cana-589	12	13	,	,	PUNCT
cana-589	12	14	non	non	ADJ
cana-589	12	15	linear	linear	ADJ
cana-589	12	16	algebraic	algebraic	ADJ
cana-589	12	17	equations	equation	NOUN
cana-589	12	18	.	.	PUNCT
cana-589	13	1	1.introduction	1.introduction	NUM
cana-589	13	2	mathematically	mathematically	ADV
cana-589	13	3	speaking	speak	VERB
cana-589	13	4	,	,	PUNCT
cana-589	13	5	things	thing	NOUN
cana-589	13	6	that	that	PRON
cana-589	13	7	may	may	AUX
cana-589	13	8	change	change	VERB
cana-589	13	9	form	form	NOUN
cana-589	13	10	without	without	ADP
cana-589	13	11	discontinuity	discontinuity	NOUN
cana-589	13	12	(	(	PUNCT
cana-589	13	13	smooth	smooth	ADJ
cana-589	13	14	mapping	mapping	NOUN
cana-589	13	15	)	)	PUNCT
cana-589	13	16	are	be	AUX
cana-589	13	17	considered	consider	VERB
cana-589	13	18	topologically	topologically	ADV
cana-589	13	19	comparable	comparable	ADJ
cana-589	13	20	.	.	PUNCT
cana-589	14	1	this	this	PRON
cana-589	14	2	is	be	AUX
cana-589	14	3	the	the	DET
cana-589	14	4	field	field	NOUN
cana-589	14	5	of	of	ADP
cana-589	14	6	study	study	NOUN
cana-589	14	7	known	know	VERB
cana-589	14	8	as	as	ADP
cana-589	14	9	topology	topology	NOUN
cana-589	14	10	.	.	PUNCT
cana-589	15	1	economic	economic	ADJ
cana-589	15	2	representations	representation	NOUN
cana-589	15	3	of	of	ADP
cana-589	15	4	the	the	DET
cana-589	15	5	flow	flow	NOUN
cana-589	15	6	are	be	AUX
cana-589	15	7	permitted	permit	VERB
cana-589	15	8	by	by	ADP
cana-589	15	9	topological	topological	ADJ
cana-589	15	10	invariants	invariant	NOUN
cana-589	15	11	(	(	PUNCT
cana-589	15	12	fewer	few	ADJ
cana-589	15	13	degrees	degree	NOUN
cana-589	15	14	of	of	ADP
cana-589	15	15	freedom	freedom	NOUN
cana-589	15	16	)	)	PUNCT
cana-589	15	17	.	.	PUNCT
cana-589	16	1	in	in	ADP
cana-589	16	2	fluid	fluid	ADJ
cana-589	16	3	dynamics	dynamic	NOUN
cana-589	16	4	,	,	PUNCT
cana-589	16	5	topological	topological	ADJ
cana-589	16	6	features	feature	NOUN
cana-589	16	7	have	have	AUX
cana-589	16	8	become	become	VERB
cana-589	16	9	increasingly	increasingly	ADV
cana-589	16	10	important	important	ADJ
cana-589	16	11	in	in	ADP
cana-589	16	12	recent	recent	ADJ
cana-589	16	13	times	time	NOUN
cana-589	16	14	.	.	PUNCT
cana-589	17	1	since	since	SCONJ
cana-589	17	2	the	the	DET
cana-589	17	3	navier	navier	NOUN
cana-589	17	4	-	-	PUNCT
cana-589	17	5	stoke	stoke	NOUN
cana-589	17	6	equation	equation	NOUN
cana-589	17	7	contains	contain	VERB
cana-589	17	8	higher	high	ADJ
cana-589	17	9	order	order	NOUN
cana-589	17	10	nonlinear	nonlinear	ADJ
cana-589	17	11	partial	partial	ADJ
cana-589	17	12	differential	differential	NOUN
cana-589	17	13	equations	equation	NOUN
cana-589	17	14	,	,	PUNCT
cana-589	17	15	finding	find	VERB
cana-589	17	16	exact	exact	ADJ
cana-589	17	17	solutions	solution	NOUN
cana-589	17	18	to	to	ADP
cana-589	17	19	it	it	PRON
cana-589	17	20	is	be	AUX
cana-589	17	21	extremely	extremely	ADV
cana-589	17	22	challenging	challenging	ADJ
cana-589	17	23	.	.	PUNCT
cana-589	18	1	the	the	DET
cana-589	18	2	solutions	solution	NOUN
cana-589	18	3	to	to	PART
cana-589	18	4	nonlinear	nonlinear	VERB
cana-589	18	5	partial	partial	ADJ
cana-589	18	6	differential	differential	NOUN
cana-589	18	7	equations	equation	NOUN
cana-589	18	8	are	be	AUX
cana-589	18	9	important	important	ADJ
cana-589	18	10	in	in	ADP
cana-589	18	11	mathematical	mathematical	ADJ
cana-589	18	12	physics	physics	NOUN
cana-589	18	13	because	because	SCONJ
cana-589	18	14	these	these	DET
cana-589	18	15	equations	equation	NOUN
cana-589	18	16	involve	involve	VERB
cana-589	18	17	many	many	ADJ
cana-589	18	18	physical	physical	ADJ
cana-589	18	19	factors	factor	NOUN
cana-589	18	20	.	.	PUNCT
cana-589	19	1	only	only	ADV
cana-589	19	2	in	in	ADP
cana-589	19	3	certain	certain	ADJ
cana-589	19	4	circumstances	circumstance	NOUN
cana-589	19	5	can	can	AUX
cana-589	19	6	the	the	DET
cana-589	19	7	majority	majority	NOUN
cana-589	19	8	of	of	ADP
cana-589	19	9	these	these	DET
cana-589	19	10	equations	equation	NOUN
cana-589	19	11	be	be	AUX
cana-589	19	12	solved	solve	VERB
cana-589	19	13	.	.	PUNCT
cana-589	20	1	therefore	therefore	ADV
cana-589	20	2	,	,	PUNCT
cana-589	20	3	a	a	DET
cana-589	20	4	number	number	NOUN
cana-589	20	5	of	of	ADP
cana-589	20	6	approximation	approximation	NOUN
cana-589	20	7	and	and	CCONJ
cana-589	20	8	numerical	numerical	ADJ
cana-589	20	9	techniques	technique	NOUN
cana-589	20	10	have	have	AUX
cana-589	20	11	been	be	AUX
cana-589	20	12	developed	develop	VERB
cana-589	20	13	to	to	PART
cana-589	20	14	solve	solve	VERB
cana-589	20	15	these	these	DET
cana-589	20	16	kinds	kind	NOUN
cana-589	20	17	of	of	ADP
cana-589	20	18	nonlinear	nonlinear	ADJ
cana-589	20	19	partial	partial	ADJ
cana-589	20	20	differential	differential	NOUN
cana-589	20	21	equations	equation	NOUN
cana-589	20	22	.	.	PUNCT
cana-589	21	1	however	however	ADV
cana-589	21	2	,	,	PUNCT
cana-589	21	3	precise	precise	ADJ
cana-589	21	4	solutions	solution	NOUN
cana-589	21	5	are	be	AUX
cana-589	21	6	required	require	VERB
cana-589	21	7	to	to	PART
cana-589	21	8	verify	verify	VERB
cana-589	21	9	the	the	DET
cana-589	21	10	level	level	NOUN
cana-589	21	11	of	of	ADP
cana-589	21	12	accuracy	accuracy	NOUN
cana-589	21	13	of	of	ADP
cana-589	21	14	these	these	DET
cana-589	21	15	techniques	technique	NOUN
cana-589	21	16	.	.	PUNCT
cana-589	22	1	there	there	PRON
cana-589	22	2	are	be	VERB
cana-589	22	3	situations	situation	NOUN
cana-589	22	4	when	when	SCONJ
cana-589	22	5	there	there	PRON
cana-589	22	6	are	be	VERB
cana-589	22	7	very	very	ADV
cana-589	22	8	few	few	ADJ
cana-589	22	9	exact	exact	ADJ
cana-589	22	10	answers	answer	NOUN
cana-589	22	11	,	,	PUNCT
cana-589	22	12	making	make	VERB
cana-589	22	13	it	it	PRON
cana-589	22	14	challenging	challenge	VERB
cana-589	22	15	to	to	PART
cana-589	22	16	verify	verify	VERB
cana-589	22	17	the	the	DET
cana-589	22	18	accuracy	accuracy	NOUN
cana-589	22	19	of	of	ADP
cana-589	22	20	approximation	approximation	NOUN
cana-589	22	21	techniques	technique	NOUN
cana-589	22	22	.	.	PUNCT
cana-589	23	1	the	the	DET
cana-589	23	2	governing	govern	VERB
cana-589	23	3	differential	differential	ADJ
cana-589	23	4	equation	equation	NOUN
cana-589	23	5	solutions	solution	NOUN
cana-589	23	6	are	be	AUX
cana-589	23	7	used	use	VERB
cana-589	23	8	by	by	ADP
cana-589	23	9	bakker	bakker	PROPN
cana-589	23	10	(	(	PUNCT
cana-589	23	11	1991	1991	NUM
cana-589	23	12	)	)	PUNCT
cana-589	23	13	to	to	PART
cana-589	23	14	derive	derive	VERB
cana-589	23	15	the	the	DET
cana-589	23	16	topological	topological	ADJ
cana-589	23	17	features	feature	NOUN
cana-589	23	18	of	of	ADP
cana-589	23	19	two	two	NUM
cana-589	23	20	-	-	PUNCT
cana-589	23	21	dimensional	dimensional	ADJ
cana-589	23	22	continuous	continuous	ADJ
cana-589	23	23	viscous	viscous	ADJ
cana-589	23	24	flows	flow	NOUN
cana-589	23	25	.	.	PUNCT
cana-589	24	1	some	some	PRON
cana-589	24	2	of	of	ADP
cana-589	24	3	the	the	DET
cana-589	24	4	exact	exact	ADJ
cana-589	24	5	solutions	solution	NOUN
cana-589	24	6	for	for	ADP
cana-589	24	7	the	the	DET
cana-589	24	8	navier	navier	NOUN
cana-589	24	9	-	-	PUNCT
cana-589	24	10	stokes	stoke	NOUN
cana-589	24	11	equations	equation	NOUN
cana-589	24	12	that	that	PRON
cana-589	24	13	are	be	AUX
cana-589	24	14	currently	currently	ADV
cana-589	24	15	available	available	ADJ
cana-589	24	16	are	be	AUX
cana-589	24	17	given	give	VERB
cana-589	24	18	by	by	ADP
cana-589	24	19	wang	wang	PROPN
cana-589	24	20	(	(	PUNCT
cana-589	24	21	1991	1991	NUM
cana-589	24	22	)	)	PUNCT
cana-589	24	23	.	.	PUNCT
cana-589	25	1	in	in	ADP
cana-589	25	2	1996	1996	NUM
cana-589	25	3	,	,	PUNCT
cana-589	25	4	ross	ross	PROPN
cana-589	25	5	ethier	ethier	NOUN
cana-589	25	6	and	and	CCONJ
cana-589	25	7	d.	d.	PROPN
cana-589	25	8	a.	a.	PROPN
cana-589	25	9	steinman	steinman	PROPN
cana-589	25	10	presented	present	VERB
cana-589	25	11	non	non	ADJ
cana-589	25	12	-	-	ADJ
cana-589	25	13	zero	zero	NUM
cana-589	25	14	(	(	PUNCT
cana-589	25	15	and	and	CCONJ
cana-589	25	16	non	non	ADJ
cana-589	25	17	-	-	ADJ
cana-589	25	18	trivial	trivial	ADJ
cana-589	25	19	)	)	PUNCT
cana-589	25	20	velocities	velocity	NOUN
cana-589	25	21	in	in	ADP
cana-589	25	22	each	each	PRON
cana-589	25	23	of	of	ADP
cana-589	25	24	the	the	DET
cana-589	25	25	three	three	NUM
cana-589	25	26	coordinate	coordinate	NOUN
cana-589	25	27	directions	direction	NOUN
cana-589	25	28	together	together	ADV
cana-589	25	29	with	with	ADP
cana-589	25	30	unsteady	unsteady	ADJ
cana-589	25	31	analytical	analytical	ADJ
cana-589	25	32	solutions	solution	NOUN
cana-589	25	33	to	to	ADP
cana-589	25	34	the	the	DET
cana-589	25	35	incompressible	incompressible	ADJ
cana-589	25	36	navier	navier	NOUN
cana-589	25	37	-	-	PUNCT
cana-589	25	38	stokes	stoke	NOUN
cana-589	25	39	equations	equation	NOUN
cana-589	25	40	.	.	PUNCT
cana-589	26	1	communications	communication	NOUN
cana-589	26	2	on	on	ADP
cana-589	26	3	applied	apply	VERB
cana-589	26	4	nonlinear	nonlinear	ADJ
cana-589	26	5	analysis	analysis	NOUN
cana-589	26	6	issn	issn	NOUN
cana-589	26	7	:	:	PUNCT
cana-589	26	8	1074	1074	NUM
cana-589	26	9	-	-	PUNCT
cana-589	26	10	133x	133x	NUM
cana-589	26	11	vol	vol	NOUN
cana-589	26	12	31	31	NUM
cana-589	26	13	no	no	NOUN
cana-589	26	14	.	.	PUNCT
cana-589	27	1	2s	2s	NUM
cana-589	27	2	(	(	PUNCT
cana-589	27	3	2024	2024	NUM
cana-589	27	4	)	)	PUNCT
cana-589	27	5	18	18	NUM
cana-589	27	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-589	27	7	topological	topological	ADJ
cana-589	27	8	kinematics	kinematic	NOUN
cana-589	27	9	associated	associate	VERB
cana-589	27	10	with	with	ADP
cana-589	27	11	rod	rod	NOUN
cana-589	27	12	stirring	stirring	NOUN
cana-589	27	13	of	of	ADP
cana-589	27	14	a	a	DET
cana-589	27	15	two	two	NUM
cana-589	27	16	-	-	PUNCT
cana-589	27	17	dimensional	dimensional	ADJ
cana-589	27	18	fluid	fluid	NOUN
cana-589	27	19	is	be	AUX
cana-589	27	20	described	describe	VERB
cana-589	27	21	by	by	ADP
cana-589	27	22	philip	philip	PROPN
cana-589	27	23	boyland	boyland	PROPN
cana-589	27	24	(	(	PUNCT
cana-589	27	25	2013	2013	NUM
cana-589	27	26	)	)	PUNCT
cana-589	27	27	.	.	PUNCT
cana-589	28	1	it	it	PRON
cana-589	28	2	was	be	AUX
cana-589	28	3	demonstrated	demonstrate	VERB
cana-589	28	4	that	that	SCONJ
cana-589	28	5	,	,	PUNCT
cana-589	28	6	depending	depend	VERB
cana-589	28	7	on	on	ADP
cana-589	28	8	the	the	DET
cana-589	28	9	stirring	stir	VERB
cana-589	28	10	approach	approach	NOUN
cana-589	28	11	,	,	PUNCT
cana-589	28	12	the	the	DET
cana-589	28	13	critical	critical	ADJ
cana-589	28	14	topological	topological	ADJ
cana-589	28	15	length	length	NOUN
cana-589	28	16	of	of	ADP
cana-589	28	17	material	material	NOUN
cana-589	28	18	lines	line	NOUN
cana-589	28	19	grows	grow	VERB
cana-589	28	20	either	either	CCONJ
cana-589	28	21	exponentially	exponentially	ADV
cana-589	28	22	or	or	CCONJ
cana-589	28	23	linearly	linearly	ADV
cana-589	28	24	.	.	PUNCT
cana-589	29	1	using	use	VERB
cana-589	29	2	periodic	periodic	ADJ
cana-589	29	3	boundary	boundary	ADJ
cana-589	29	4	conditions	condition	NOUN
cana-589	29	5	,	,	PUNCT
cana-589	29	6	farazmand	farazmand	NOUN
cana-589	29	7	(	(	PUNCT
cana-589	29	8	2016	2016	NUM
cana-589	29	9	)	)	PUNCT
cana-589	29	10	proposed	propose	VERB
cana-589	29	11	a	a	DET
cana-589	29	12	unique	unique	ADJ
cana-589	29	13	method	method	NOUN
cana-589	29	14	for	for	ADP
cana-589	29	15	finding	find	VERB
cana-589	29	16	the	the	DET
cana-589	29	17	equilibrium	equilibrium	NOUN
cana-589	29	18	and	and	CCONJ
cana-589	29	19	traveling	travel	VERB
cana-589	29	20	wave	wave	NOUN
cana-589	29	21	(	(	PUNCT
cana-589	29	22	relative	relative	ADJ
cana-589	29	23	equilibrium	equilibrium	NOUN
cana-589	29	24	)	)	PUNCT
cana-589	29	25	solutions	solution	NOUN
cana-589	29	26	to	to	ADP
cana-589	29	27	the	the	DET
cana-589	29	28	forced	force	VERB
cana-589	29	29	navier	navier	NOUN
cana-589	29	30	stokes	stokes	PROPN
cana-589	29	31	equations	equations	PROPN
cana-589	29	32	.	.	PUNCT
cana-589	30	1	daniel	daniel	PROPN
cana-589	30	2	paralta	paralta	PROPN
cana-589	30	3	salas	salas	PROPN
cana-589	30	4	(	(	PUNCT
cana-589	30	5	2016	2016	NUM
cana-589	30	6	)	)	PUNCT
cana-589	30	7	conducted	conduct	VERB
cana-589	30	8	a	a	DET
cana-589	30	9	survey	survey	NOUN
cana-589	30	10	to	to	PART
cana-589	30	11	look	look	VERB
cana-589	30	12	at	at	ADP
cana-589	30	13	specific	specific	ADJ
cana-589	30	14	geometric	geometric	ADJ
cana-589	30	15	properties	property	NOUN
cana-589	30	16	of	of	ADP
cana-589	30	17	inviscid	inviscid	ADJ
cana-589	30	18	and	and	CCONJ
cana-589	30	19	incompressible	incompressible	ADJ
cana-589	30	20	fluid	fluid	ADJ
cana-589	30	21	flows	flow	NOUN
cana-589	30	22	.	.	PUNCT
cana-589	31	1	suqiong	suqiong	PROPN
cana-589	31	2	et	et	PROPN
cana-589	31	3	al	al	PROPN
cana-589	31	4	.	.	PROPN
cana-589	32	1	(	(	PUNCT
cana-589	32	2	2021	2021	NUM
cana-589	32	3	)	)	PUNCT
cana-589	32	4	evaluated	evaluate	VERB
cana-589	32	5	the	the	DET
cana-589	32	6	accuracy	accuracy	NOUN
cana-589	32	7	of	of	ADP
cana-589	32	8	the	the	DET
cana-589	32	9	design	design	NOUN
cana-589	32	10	sensitivity	sensitivity	NOUN
cana-589	32	11	by	by	ADP
cana-589	32	12	examining	examine	VERB
cana-589	32	13	the	the	DET
cana-589	32	14	lattice	lattice	NOUN
cana-589	32	15	kinetic	kinetic	ADJ
cana-589	32	16	scheme	scheme	NOUN
cana-589	32	17	(	(	PUNCT
cana-589	32	18	lks	lks	PROPN
cana-589	32	19	)	)	PUNCT
cana-589	32	20	as	as	ADP
cana-589	32	21	a	a	DET
cana-589	32	22	topology	topology	NOUN
cana-589	32	23	optimization	optimization	NOUN
cana-589	32	24	approach	approach	NOUN
cana-589	32	25	for	for	ADP
cana-589	32	26	flow	flow	NOUN
cana-589	32	27	channel	channel	NOUN
cana-589	32	28	design	design	NOUN
cana-589	32	29	.	.	PUNCT
cana-589	33	1	new	new	ADJ
cana-589	33	2	precise	precise	ADJ
cana-589	33	3	solutions	solution	NOUN
cana-589	33	4	for	for	ADP
cana-589	33	5	three	three	NUM
cana-589	33	6	-	-	PUNCT
cana-589	33	7	dimensional	dimensional	ADJ
cana-589	33	8	incompressible	incompressible	ADJ
cana-589	33	9	steady	steady	ADJ
cana-589	33	10	state	state	NOUN
cana-589	33	11	generalized	generalize	VERB
cana-589	33	12	beltrami	beltrami	ADJ
cana-589	33	13	flows	flow	NOUN
cana-589	33	14	are	be	AUX
cana-589	33	15	obtained	obtain	VERB
cana-589	33	16	by	by	ADP
cana-589	33	17	joseph	joseph	PROPN
cana-589	33	18	(	(	PUNCT
cana-589	33	19	2021	2021	NUM
cana-589	33	20	)	)	PUNCT
cana-589	33	21	.	.	PUNCT
cana-589	34	1	moffatt	moffatt	PROPN
cana-589	34	2	(	(	PUNCT
cana-589	34	3	2021	2021	NUM
cana-589	34	4	)	)	PUNCT
cana-589	34	5	provided	provide	VERB
cana-589	34	6	an	an	DET
cana-589	34	7	easy	easy	ADJ
cana-589	34	8	introduction	introduction	NOUN
cana-589	34	9	to	to	ADP
cana-589	34	10	various	various	ADJ
cana-589	34	11	issues	issue	NOUN
cana-589	34	12	in	in	ADP
cana-589	34	13	fluid	fluid	ADJ
cana-589	34	14	dynamics	dynamic	NOUN
cana-589	34	15	that	that	PRON
cana-589	34	16	pointed	point	VERB
cana-589	34	17	towards	towards	ADP
cana-589	34	18	topology	topology	NOUN
cana-589	34	19	.	.	PUNCT
cana-589	35	1	naiko	naiko	PROPN
cana-589	35	2	and	and	CCONJ
cana-589	35	3	yamada	yamada	PROPN
cana-589	35	4	(	(	PUNCT
cana-589	35	5	2022	2022	NUM
cana-589	35	6	)	)	PUNCT
cana-589	35	7	derived	derive	VERB
cana-589	35	8	the	the	DET
cana-589	35	9	vorticity	vorticity	NOUN
cana-589	35	10	equation	equation	NOUN
cana-589	35	11	for	for	ADP
cana-589	35	12	an	an	DET
cana-589	35	13	incompressible	incompressible	ADJ
cana-589	35	14	fluid	fluid	NOUN
cana-589	35	15	completely	completely	ADV
cana-589	35	16	submerged	submerge	VERB
cana-589	35	17	in	in	ADP
cana-589	35	18	a	a	DET
cana-589	35	19	three	three	NUM
cana-589	35	20	-	-	PUNCT
cana-589	35	21	dimensional	dimensional	ADJ
cana-589	35	22	euclidean	euclidean	ADJ
cana-589	35	23	space	space	NOUN
cana-589	35	24	on	on	ADP
cana-589	35	25	a	a	DET
cana-589	35	26	two	two	NUM
cana-589	35	27	-	-	PUNCT
cana-589	35	28	dimensional	dimensional	ADJ
cana-589	35	29	surface	surface	NOUN
cana-589	35	30	with	with	ADP
cana-589	35	31	any	any	DET
cana-589	35	32	topology	topology	NOUN
cana-589	35	33	.	.	PUNCT
cana-589	36	1	by	by	ADP
cana-589	36	2	the	the	DET
cana-589	36	3	late	late	ADJ
cana-589	36	4	1980s	1980	NOUN
cana-589	36	5	,	,	PUNCT
cana-589	36	6	the	the	DET
cana-589	36	7	topology	topology	NOUN
cana-589	36	8	optimisation	optimisation	NOUN
cana-589	36	9	technique	technique	NOUN
cana-589	36	10	had	have	AUX
cana-589	36	11	evolved	evolve	VERB
cana-589	36	12	from	from	ADP
cana-589	36	13	size	size	NOUN
cana-589	36	14	and	and	CCONJ
cana-589	36	15	form	form	NOUN
cana-589	36	16	optimisation	optimisation	NOUN
cana-589	36	17	in	in	ADP
cana-589	36	18	the	the	DET
cana-589	36	19	discipline	discipline	NOUN
cana-589	36	20	of	of	ADP
cana-589	36	21	solid	solid	ADJ
cana-589	36	22	mechanics	mechanic	NOUN
cana-589	36	23	.	.	PUNCT
cana-589	37	1	casper	casper	PROPN
cana-589	37	2	schousboe	schousboe	PROPN
cana-589	37	3	andreasen	andreasen	NOUN
cana-589	37	4	and	and	CCONJ
cana-589	37	5	joe	joe	PROPN
cana-589	37	6	alexandersen	alexandersen	PROPN
cana-589	37	7	(	(	PUNCT
cana-589	37	8	2020	2020	NUM
cana-589	37	9	)	)	PUNCT
cana-589	37	10	presented	present	VERB
cana-589	37	11	a	a	DET
cana-589	37	12	survey	survey	NOUN
cana-589	37	13	of	of	ADP
cana-589	37	14	the	the	DET
cana-589	37	15	literature	literature	NOUN
cana-589	37	16	on	on	ADP
cana-589	37	17	topology	topology	NOUN
cana-589	37	18	optimization	optimization	NOUN
cana-589	37	19	for	for	ADP
cana-589	37	20	fluid	fluid	NOUN
cana-589	37	21	-	-	PUNCT
cana-589	37	22	based	base	VERB
cana-589	37	23	challenges	challenge	NOUN
cana-589	37	24	..	..	PUNCT
cana-589	38	1	we	we	PRON
cana-589	38	2	assume	assume	VERB
cana-589	38	3	specific	specific	ADJ
cana-589	38	4	ansatz	ansatz	ADJ
cana-589	38	5	forms	form	NOUN
cana-589	38	6	for	for	ADP
cana-589	38	7	the	the	DET
cana-589	38	8	necessary	necessary	ADJ
cana-589	38	9	answers	answer	NOUN
cana-589	38	10	because	because	SCONJ
cana-589	38	11	there	there	PRON
cana-589	38	12	are	be	VERB
cana-589	38	13	no	no	DET
cana-589	38	14	exact	exact	ADJ
cana-589	38	15	methods	method	NOUN
cana-589	38	16	available	available	ADJ
cana-589	38	17	to	to	PART
cana-589	38	18	solve	solve	VERB
cana-589	38	19	the	the	DET
cana-589	38	20	highly	highly	ADV
cana-589	38	21	nonlinear	nonlinear	ADJ
cana-589	38	22	partial	partial	ADJ
cana-589	38	23	differential	differential	NOUN
cana-589	38	24	equations	equation	NOUN
cana-589	38	25	.	.	PUNCT
cana-589	39	1	we	we	PRON
cana-589	39	2	then	then	ADV
cana-589	39	3	solve	solve	VERB
cana-589	39	4	the	the	DET
cana-589	39	5	associated	associated	ADJ
cana-589	39	6	equations	equation	NOUN
cana-589	39	7	to	to	PART
cana-589	39	8	find	find	VERB
cana-589	39	9	the	the	DET
cana-589	39	10	exact	exact	ADJ
cana-589	39	11	solutions	solution	NOUN
cana-589	39	12	.	.	PUNCT
cana-589	40	1	in	in	ADP
cana-589	40	2	order	order	NOUN
cana-589	40	3	to	to	PART
cana-589	40	4	solve	solve	VERB
cana-589	40	5	the	the	DET
cana-589	40	6	nonlinear	nonlinear	ADJ
cana-589	40	7	partial	partial	ADJ
cana-589	40	8	differential	differential	NOUN
cana-589	40	9	equations	equation	NOUN
cana-589	40	10	,	,	PUNCT
cana-589	40	11	zhengdedai	zhengdedai	PROPN
cana-589	40	12	et	et	PROPN
cana-589	40	13	al	al	PROPN
cana-589	40	14	.	.	PROPN
cana-589	40	15	(	(	PUNCT
cana-589	40	16	2013	2013	NUM
cana-589	40	17	)	)	PUNCT
cana-589	40	18	proposed	propose	VERB
cana-589	40	19	the	the	DET
cana-589	40	20	mixed	mixed	ADJ
cana-589	40	21	exponential	exponential	ADJ
cana-589	40	22	function	function	NOUN
cana-589	40	23	ansatz	ansatz	ADJ
cana-589	40	24	approach	approach	NOUN
cana-589	40	25	.	.	PUNCT
cana-589	41	1	yarom	yarom	INTJ
cana-589	41	2	et	et	PROPN
cana-589	41	3	al	al	PROPN
cana-589	41	4	.	.	PROPN
cana-589	42	1	(	(	PUNCT
cana-589	42	2	2014	2014	NUM
cana-589	42	3	)	)	PUNCT
cana-589	42	4	conducted	conduct	VERB
cana-589	42	5	numerical	numerical	ADJ
cana-589	42	6	simulations	simulation	NOUN
cana-589	42	7	in	in	ADP
cana-589	42	8	an	an	DET
cana-589	42	9	israel	israel	PROPN
cana-589	42	10	-	-	PUNCT
cana-589	42	11	stewart	stewart	NOUN
cana-589	42	12	-	-	PUNCT
cana-589	42	13	like	like	ADJ
cana-589	42	14	theory	theory	NOUN
cana-589	42	15	of	of	ADP
cana-589	42	16	second	second	ADJ
cana-589	42	17	order	order	NOUN
cana-589	42	18	viscous	viscous	ADJ
cana-589	42	19	hydrodynamics	hydrodynamic	NOUN
cana-589	42	20	and	and	CCONJ
cana-589	42	21	the	the	DET
cana-589	42	22	heat	heat	NOUN
cana-589	42	23	current	current	NOUN
cana-589	42	24	of	of	ADP
cana-589	42	25	a	a	DET
cana-589	42	26	steady	steady	ADJ
cana-589	42	27	state	state	NOUN
cana-589	42	28	connecting	connect	VERB
cana-589	42	29	two	two	NUM
cana-589	42	30	asymptotic	asymptotic	ADJ
cana-589	42	31	equilibrium	equilibrium	NOUN
cana-589	42	32	systems	system	NOUN
cana-589	42	33	with	with	ADP
cana-589	42	34	linear	linear	PROPN
cana-589	42	35	hydrodynamics	hydrodynamic	NOUN
cana-589	42	36	.	.	PUNCT
cana-589	43	1	the	the	DET
cana-589	43	2	finite	finite	ADJ
cana-589	43	3	difference	difference	NOUN
cana-589	43	4	technique	technique	NOUN
cana-589	43	5	for	for	ADP
cana-589	43	6	3d	3d	NUM
cana-589	43	7	viscous	viscous	ADJ
cana-589	43	8	incompressible	incompressible	ADJ
cana-589	43	9	flows	flow	NOUN
cana-589	43	10	on	on	ADP
cana-589	43	11	non	non	ADJ
cana-589	43	12	-	-	ADJ
cana-589	43	13	staggered	staggered	ADJ
cana-589	43	14	grids	grid	NOUN
cana-589	43	15	in	in	ADP
cana-589	43	16	deformable	deformable	ADJ
cana-589	43	17	surfaces	surface	NOUN
cana-589	43	18	was	be	AUX
cana-589	43	19	extended	extend	VERB
cana-589	43	20	by	by	ADP
cana-589	43	21	xilin	xilin	PROPN
cana-589	43	22	xie	xie	PROPN
cana-589	43	23	and	and	CCONJ
cana-589	43	24	chen	chen	PROPN
cana-589	43	25	(	(	PUNCT
cana-589	43	26	2016	2016	NUM
cana-589	43	27	)	)	PUNCT
cana-589	43	28	.	.	PUNCT
cana-589	44	1	the	the	DET
cana-589	44	2	current	current	ADJ
cana-589	44	3	research	research	NOUN
cana-589	44	4	derives	derive	VERB
cana-589	44	5	the	the	DET
cana-589	44	6	topological	topological	ADJ
cana-589	44	7	conserved	conserved	ADJ
cana-589	44	8	vorticity	vorticity	NOUN
cana-589	44	9	equation	equation	NOUN
cana-589	44	10	and	and	CCONJ
cana-589	44	11	employs	employ	VERB
cana-589	44	12	the	the	DET
cana-589	44	13	potential	potential	ADJ
cana-589	44	14	ansatz	ansatz	ADJ
cana-589	44	15	approach	approach	NOUN
cana-589	44	16	to	to	PART
cana-589	44	17	determine	determine	VERB
cana-589	44	18	exact	exact	ADJ
cana-589	44	19	solutions	solution	NOUN
cana-589	44	20	for	for	ADP
cana-589	44	21	two	two	NUM
cana-589	44	22	separate	separate	ADJ
cana-589	44	23	families	family	NOUN
cana-589	44	24	of	of	ADP
cana-589	44	25	solutions	solution	NOUN
cana-589	44	26	to	to	ADP
cana-589	44	27	the	the	DET
cana-589	44	28	navierstokes	navierstoke	NOUN
cana-589	44	29	equation	equation	NOUN
cana-589	44	30	.	.	PUNCT
cana-589	45	1	2	2	X
cana-589	45	2	.	.	X
cana-589	45	3	basic	basic	ADJ
cana-589	45	4	equations	equation	NOUN
cana-589	45	5	constant	constant	ADJ
cana-589	45	6	in	in	ADP
cana-589	45	7	motion	motion	NOUN
cana-589	45	8	is	be	AUX
cana-589	45	9	an	an	DET
cana-589	45	10	essential	essential	ADJ
cana-589	45	11	and	and	CCONJ
cana-589	45	12	sufficient	sufficient	ADJ
cana-589	45	13	criterion	criterion	NOUN
cana-589	45	14	for	for	ADP
cana-589	45	15	an	an	DET
cana-589	45	16	arbitrary	arbitrary	ADJ
cana-589	45	17	vector	vector	NOUN
cana-589	45	18	field	field	NOUN
cana-589	45	19	s	s	VERB
cana-589	45	20	through	through	ADP
cana-589	45	21	an	an	DET
cana-589	45	22	arbitrary	arbitrary	ADJ
cana-589	45	23	surface	surface	NOUN
cana-589	45	24	.	.	PUNCT
cana-589	46	1	therefore	therefore	ADV
cana-589	47	1	𝜕𝑆	𝜕𝑆	INTJ
cana-589	47	2	𝜕𝑡	𝜕𝑡	NOUN
cana-589	47	3	+	+	CCONJ
cana-589	47	4	(	(	PUNCT
cana-589	47	5	𝑤.	𝑤.	NOUN
cana-589	47	6	∇)𝑆	∇)𝑆	NUM
cana-589	47	7	−	−	PROPN
cana-589	47	8	(	(	PUNCT
cana-589	47	9	𝑆.	𝑆.	PROPN
cana-589	47	10	∇)𝑤	∇)𝑤	PROPN
cana-589	47	11	+	+	CCONJ
cana-589	47	12	𝑆(∇.	𝑆(∇.	PROPN
cana-589	47	13	𝑤	𝑤	SYM
cana-589	47	14	)	)	PUNCT
cana-589	47	15	=	=	SYM
cana-589	47	16	0	0	PUNCT
cana-589	47	17	(	(	PUNCT
cana-589	47	18	1.1	1.1	NUM
cana-589	47	19	)	)	PUNCT
cana-589	47	20	in	in	ADP
cana-589	47	21	addition	addition	NOUN
cana-589	47	22	,	,	PUNCT
cana-589	47	23	for	for	SCONJ
cana-589	47	24	vector	vector	NOUN
cana-589	47	25	tube	tube	NOUN
cana-589	47	26	s	s	VERB
cana-589	47	27	to	to	PART
cana-589	47	28	exist	exist	VERB
cana-589	47	29	,	,	PUNCT
cana-589	47	30	the	the	DET
cana-589	47	31	conditions	condition	NOUN
cana-589	47	32	that	that	PRON
cana-589	47	33	follow	follow	VERB
cana-589	47	34	must	must	AUX
cana-589	47	35	be	be	AUX
cana-589	47	36	met	meet	VERB
cana-589	47	37	:	:	PUNCT
cana-589	47	38	𝑆	𝑆	PROPN
cana-589	47	39	×	×	NOUN
cana-589	47	40	(	(	PUNCT
cana-589	47	41	𝜕𝑆	𝜕𝑆	INTJ
cana-589	47	42	𝜕𝑡	𝜕𝑡	NOUN
cana-589	47	43	+	+	CCONJ
cana-589	47	44	(	(	PUNCT
cana-589	47	45	𝑤.	𝑤.	NOUN
cana-589	47	46	∇)𝑆	∇)𝑆	NUM
cana-589	47	47	−	−	PROPN
cana-589	47	48	(	(	PUNCT
cana-589	47	49	𝑆.	𝑆.	PROPN
cana-589	47	50	∇)𝑤	∇)𝑤	PROPN
cana-589	47	51	)	)	PUNCT
cana-589	47	52	=	=	SYM
cana-589	47	53	0	0	NUM
cana-589	47	54	(	(	PUNCT
cana-589	47	55	1.2	1.2	NUM
cana-589	47	56	)	)	PUNCT
cana-589	47	57	here	here	ADV
cana-589	47	58	,	,	PUNCT
cana-589	47	59	w	w	PROPN
cana-589	47	60	is	be	AUX
cana-589	47	61	the	the	DET
cana-589	47	62	generating	generate	VERB
cana-589	47	63	vector	vector	NOUN
cana-589	47	64	field	field	NOUN
cana-589	47	65	.	.	PUNCT
cana-589	48	1	an	an	DET
cana-589	48	2	arbitrary	arbitrary	ADJ
cana-589	48	3	vector	vector	NOUN
cana-589	48	4	field	field	NOUN
cana-589	48	5	's	's	PART
cana-589	48	6	topological	topological	ADJ
cana-589	48	7	conservation	conservation	NOUN
cana-589	48	8	requirement	requirement	NOUN
cana-589	48	9	is	be	AUX
cana-589	48	10	met	meet	VERB
cana-589	48	11	by	by	ADP
cana-589	48	12	𝜕𝑆	𝜕𝑆	PROPN
cana-589	48	13	𝜕𝑡	𝜕𝑡	PROPN
cana-589	48	14	+	+	CCONJ
cana-589	48	15	(	(	PUNCT
cana-589	48	16	𝑤.	𝑤.	NOUN
cana-589	48	17	∇)𝑆	∇)𝑆	NUM
cana-589	48	18	−	−	PROPN
cana-589	48	19	(	(	PUNCT
cana-589	48	20	𝑆.	𝑆.	PROPN
cana-589	48	21	∇)𝑤	∇)𝑤	PROPN
cana-589	48	22	=	=	SYM
cana-589	48	23	𝜆𝑆	𝜆𝑆	X
cana-589	48	24	(	(	PUNCT
cana-589	48	25	1.3	1.3	NUM
cana-589	48	26	)	)	PUNCT
cana-589	48	27	in	in	ADP
cana-589	48	28	a	a	DET
cana-589	48	29	smooth	smooth	ADJ
cana-589	48	30	domain	domain	NOUN
cana-589	48	31	of	of	ADP
cana-589	48	32	the	the	DET
cana-589	48	33	euclidean	euclidean	ADJ
cana-589	48	34	space	space	NOUN
cana-589	48	35	𝛺	𝛺	VERB
cana-589	48	36	⊆	⊆	NUM
cana-589	48	37	𝑅3	𝑅3	NOUN
cana-589	48	38	,	,	PUNCT
cana-589	48	39	consider	consider	VERB
cana-589	48	40	the	the	DET
cana-589	48	41	navier	navier	NOUN
cana-589	48	42	-	-	PUNCT
cana-589	48	43	stokes	stoke	NOUN
cana-589	48	44	equations	equation	NOUN
cana-589	48	45	of	of	ADP
cana-589	48	46	an	an	DET
cana-589	48	47	unsteady	unsteady	ADJ
cana-589	48	48	incompressible	incompressible	ADJ
cana-589	48	49	fluid	fluid	ADJ
cana-589	48	50	flow	flow	NOUN
cana-589	48	51	under	under	ADP
cana-589	48	52	conservative	conservative	ADJ
cana-589	48	53	body	body	NOUN
cana-589	48	54	forces	force	NOUN
cana-589	48	55	.	.	PUNCT
cana-589	49	1	the	the	DET
cana-589	49	2	basic	basic	ADJ
cana-589	49	3	equations	equation	NOUN
cana-589	49	4	are	be	AUX
cana-589	49	5	∇.	∇.	NUM
cana-589	49	6	𝑢	𝑢	X
cana-589	49	7	=	=	SYM
cana-589	49	8	0	0	NUM
cana-589	49	9	(	(	PUNCT
cana-589	49	10	1.4	1.4	NUM
cana-589	49	11	)	)	PUNCT
cana-589	49	12	communications	communication	NOUN
cana-589	49	13	on	on	ADP
cana-589	49	14	applied	apply	VERB
cana-589	49	15	nonlinear	nonlinear	ADJ
cana-589	49	16	analysis	analysis	NOUN
cana-589	49	17	issn	issn	NOUN
cana-589	49	18	:	:	PUNCT
cana-589	49	19	1074	1074	NUM
cana-589	49	20	-	-	PUNCT
cana-589	49	21	133x	133x	NUM
cana-589	49	22	vol	vol	NOUN
cana-589	49	23	31	31	NUM
cana-589	49	24	no	no	NOUN
cana-589	49	25	.	.	PUNCT
cana-589	50	1	2s	2s	NUM
cana-589	50	2	(	(	PUNCT
cana-589	50	3	2024	2024	NUM
cana-589	50	4	)	)	PUNCT
cana-589	50	5	19	19	NUM
cana-589	50	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-589	50	7	𝜕𝑢	𝜕𝑢	NOUN
cana-589	50	8	𝜕𝑡	𝜕𝑡	NOUN
cana-589	50	9	+	+	CCONJ
cana-589	50	10	(	(	PUNCT
cana-589	50	11	𝑢.	𝑢.	NOUN
cana-589	50	12	∇)𝑢	∇)𝑢	PROPN
cana-589	50	13	=	=	PUNCT
cana-589	50	14	−∇𝑝	−∇𝑝	PROPN
cana-589	50	15	+	+	CCONJ
cana-589	51	1	∇𝜑	∇𝜑	PROPN
cana-589	51	2	+	+	NUM
cana-589	51	3	𝜗∇2u	𝜗∇2u	PROPN
cana-589	51	4	(	(	PUNCT
cana-589	51	5	1.5	1.5	NUM
cana-589	51	6	)	)	PUNCT
cana-589	51	7	where	where	SCONJ
cana-589	51	8	𝑢(𝑥	𝑢(𝑥	PROPN
cana-589	51	9	,	,	PUNCT
cana-589	51	10	𝑡	𝑡	PROPN
cana-589	51	11	)	)	PUNCT
cana-589	51	12	is	be	AUX
cana-589	51	13	a	a	DET
cana-589	51	14	time	time	NOUN
cana-589	51	15	dependent	dependent	ADJ
cana-589	51	16	vector	vector	NOUN
cana-589	51	17	field	field	NOUN
cana-589	51	18	(	(	PUNCT
cana-589	51	19	or	or	CCONJ
cana-589	51	20	)	)	PUNCT
cana-589	51	21	velocity	velocity	NOUN
cana-589	51	22	field	field	NOUN
cana-589	51	23	,	,	PUNCT
cana-589	51	24	∇𝜑	∇𝜑	PROPN
cana-589	51	25	is	be	AUX
cana-589	51	26	the	the	DET
cana-589	51	27	conservative	conservative	ADJ
cana-589	51	28	body	body	NOUN
cana-589	51	29	force	force	NOUN
cana-589	51	30	,	,	PUNCT
cana-589	51	31	𝜗	𝜗	PROPN
cana-589	51	32	is	be	AUX
cana-589	51	33	the	the	DET
cana-589	51	34	coefficient	coefficient	NOUN
cana-589	51	35	of	of	ADP
cana-589	51	36	kinematic	kinematic	ADJ
cana-589	51	37	viscosity	viscosity	NOUN
cana-589	51	38	and	and	CCONJ
cana-589	51	39	𝑝(𝑥	𝑝(𝑥	NOUN
cana-589	51	40	,	,	PUNCT
cana-589	51	41	𝑡	𝑡	PROPN
cana-589	51	42	)	)	PUNCT
cana-589	51	43	is	be	AUX
cana-589	51	44	the	the	DET
cana-589	51	45	pressure	pressure	NOUN
cana-589	51	46	function	function	NOUN
cana-589	51	47	.	.	PUNCT
cana-589	52	1	consider	consider	VERB
cana-589	52	2	another	another	DET
cana-589	52	3	time	time	NOUN
cana-589	52	4	dependent	dependent	ADJ
cana-589	52	5	vector	vector	NOUN
cana-589	52	6	field	field	NOUN
cana-589	52	7	(	(	PUNCT
cana-589	52	8	i.e	i.e	X
cana-589	52	9	)	)	PUNCT
cana-589	52	10	vorticity	vorticity	NOUN
cana-589	52	11	.	.	PUNCT
cana-589	53	1	it	it	PRON
cana-589	53	2	is	be	AUX
cana-589	53	3	defined	define	VERB
cana-589	53	4	as	as	ADP
cana-589	53	5	𝑤	𝑤	X
cana-589	53	6	=	=	X
cana-589	53	7	∇	∇	X
cana-589	53	8	×	×	PROPN
cana-589	53	9	𝑢	𝑢	X
cana-589	53	10	(	(	PUNCT
cana-589	53	11	𝑜𝑟	𝑜𝑟	PROPN
cana-589	53	12	)	)	PUNCT
cana-589	53	13	𝑐𝑢𝑟𝑙	𝑐𝑢𝑟𝑙	NOUN
cana-589	53	14	𝑢	𝑢	PROPN
cana-589	53	15	(	(	PUNCT
cana-589	53	16	1.6	1.6	NUM
cana-589	53	17	)	)	PUNCT
cana-589	53	18	by	by	ADP
cana-589	53	19	substituting	substitute	VERB
cana-589	53	20	the	the	DET
cana-589	53	21	vorticity	vorticity	NOUN
cana-589	53	22	,	,	PUNCT
cana-589	53	23	equ(1.5	equ(1.5	NUM
cana-589	53	24	)	)	PUNCT
cana-589	53	25	becomes	become	VERB
cana-589	53	26	𝜕𝑤	𝜕𝑤	NOUN
cana-589	53	27	𝜕𝑡	𝜕𝑡	NOUN
cana-589	53	28	+	+	NUM
cana-589	53	29	∇	∇	X
cana-589	53	30	×	×	NOUN
cana-589	53	31	(	(	PUNCT
cana-589	53	32	𝑤	𝑤	ADP
cana-589	53	33	×	×	PROPN
cana-589	53	34	𝑢	𝑢	NOUN
cana-589	53	35	)	)	PUNCT
cana-589	53	36	−	−	PROPN
cana-589	54	1	𝜗∇2𝑤	𝜗∇2𝑤	INTJ
cana-589	54	2	=	=	SYM
cana-589	54	3	0	0	NUM
cana-589	54	4	(	(	PUNCT
cana-589	54	5	1.7	1.7	NUM
cana-589	54	6	)	)	PUNCT
cana-589	54	7	it	it	PRON
cana-589	54	8	is	be	AUX
cana-589	54	9	now	now	ADV
cana-589	54	10	essential	essential	ADJ
cana-589	54	11	to	to	PART
cana-589	54	12	discuss	discuss	VERB
cana-589	54	13	whether	whether	SCONJ
cana-589	54	14	or	or	CCONJ
cana-589	54	15	not	not	PART
cana-589	54	16	topology	topology	NOUN
cana-589	54	17	conserving	conserve	VERB
cana-589	54	18	flows	flow	NOUN
cana-589	54	19	of	of	ADP
cana-589	54	20	incompressible	incompressible	ADJ
cana-589	54	21	viscous	viscous	ADJ
cana-589	54	22	fluids	fluid	NOUN
cana-589	54	23	take	take	VERB
cana-589	54	24	place	place	NOUN
cana-589	54	25	.	.	PUNCT
cana-589	55	1	the	the	DET
cana-589	55	2	vorticity	vorticity	NOUN
cana-589	55	3	vector	vector	NOUN
cana-589	55	4	field	field	NOUN
cana-589	55	5	must	must	AUX
cana-589	55	6	satisfy	satisfy	VERB
cana-589	55	7	the	the	DET
cana-589	55	8	equation	equation	NOUN
cana-589	55	9	(	(	PUNCT
cana-589	55	10	1.7	1.7	NUM
cana-589	55	11	)	)	PUNCT
cana-589	55	12	if	if	SCONJ
cana-589	55	13	such	such	DET
cana-589	55	14	a	a	DET
cana-589	55	15	flow	flow	NOUN
cana-589	55	16	is	be	AUX
cana-589	55	17	present	present	ADJ
cana-589	55	18	.	.	PUNCT
cana-589	56	1	we	we	PRON
cana-589	56	2	obtain	obtain	VERB
cana-589	56	3	precise	precise	ADJ
cana-589	56	4	,	,	PUNCT
cana-589	56	5	reliable	reliable	ADJ
cana-589	56	6	solutions	solution	NOUN
cana-589	56	7	to	to	ADP
cana-589	56	8	the	the	DET
cana-589	56	9	equation	equation	NOUN
cana-589	56	10	(	(	PUNCT
cana-589	56	11	1.7	1.7	NUM
cana-589	56	12	)	)	PUNCT
cana-589	56	13	for	for	ADP
cana-589	56	14	newtonian	newtonian	ADJ
cana-589	56	15	fluid	fluid	ADJ
cana-589	56	16	flows	flow	NOUN
cana-589	56	17	,	,	PUNCT
cana-589	56	18	where	where	SCONJ
cana-589	56	19	the	the	DET
cana-589	56	20	vorticity	vorticity	NOUN
cana-589	56	21	fields	field	NOUN
cana-589	56	22	preserve	preserve	VERB
cana-589	56	23	topology	topology	NOUN
cana-589	56	24	.	.	PUNCT
cana-589	57	1	3.exact	3.exact	NUM
cana-589	57	2	solution	solution	NOUN
cana-589	57	3	by	by	ADP
cana-589	57	4	ansatz	ansatz	ADJ
cana-589	57	5	method	method	NOUN
cana-589	57	6	since	since	SCONJ
cana-589	57	7	the	the	DET
cana-589	57	8	navier	navier	NOUN
cana-589	57	9	-	-	PUNCT
cana-589	57	10	stoke	stoke	NOUN
cana-589	57	11	equation	equation	NOUN
cana-589	57	12	contains	contain	VERB
cana-589	57	13	higher	high	ADJ
cana-589	57	14	order	order	NOUN
cana-589	57	15	nonlinear	nonlinear	ADJ
cana-589	57	16	partial	partial	ADJ
cana-589	57	17	differential	differential	NOUN
cana-589	57	18	equations	equation	NOUN
cana-589	57	19	,	,	PUNCT
cana-589	57	20	establishing	establish	VERB
cana-589	57	21	exact	exact	ADJ
cana-589	57	22	solutions	solution	NOUN
cana-589	57	23	to	to	ADP
cana-589	57	24	it	it	PRON
cana-589	57	25	is	be	AUX
cana-589	57	26	extremely	extremely	ADV
cana-589	57	27	hard	hard	ADJ
cana-589	57	28	.	.	PUNCT
cana-589	58	1	by	by	ADP
cana-589	58	2	converting	convert	VERB
cana-589	58	3	them	they	PRON
cana-589	58	4	into	into	ADP
cana-589	58	5	ordinary	ordinary	ADJ
cana-589	58	6	differential	differential	ADJ
cana-589	58	7	equations	equation	NOUN
cana-589	58	8	,	,	PUNCT
cana-589	58	9	a	a	DET
cana-589	58	10	number	number	NOUN
cana-589	58	11	of	of	ADP
cana-589	58	12	nonlinear	nonlinear	ADJ
cana-589	58	13	partial	partial	ADJ
cana-589	58	14	differential	differential	NOUN
cana-589	58	15	equations	equation	NOUN
cana-589	58	16	have	have	AUX
cana-589	58	17	been	be	AUX
cana-589	58	18	solved	solve	VERB
cana-589	58	19	.	.	PUNCT
cana-589	59	1	we	we	PRON
cana-589	59	2	want	want	VERB
cana-589	59	3	to	to	PART
cana-589	59	4	transform	transform	VERB
cana-589	59	5	the	the	DET
cana-589	59	6	partial	partial	ADJ
cana-589	59	7	differential	differential	ADJ
cana-589	59	8	equations	equation	NOUN
cana-589	59	9	of	of	ADP
cana-589	59	10	incompressible	incompressible	ADJ
cana-589	59	11	viscous	viscous	ADJ
cana-589	59	12	flows	flow	NOUN
cana-589	59	13	into	into	ADP
cana-589	59	14	ordinary	ordinary	ADJ
cana-589	59	15	differential	differential	ADJ
cana-589	59	16	equations	equation	NOUN
cana-589	59	17	so	so	SCONJ
cana-589	59	18	that	that	SCONJ
cana-589	59	19	the	the	DET
cana-589	59	20	precise	precise	ADJ
cana-589	59	21	solutions	solution	NOUN
cana-589	59	22	can	can	AUX
cana-589	59	23	be	be	AUX
cana-589	59	24	found	find	VERB
cana-589	59	25	by	by	ADP
cana-589	59	26	solving	solve	VERB
cana-589	59	27	them	they	PRON
cana-589	59	28	.	.	PUNCT
cana-589	60	1	in	in	ADP
cana-589	60	2	order	order	NOUN
cana-589	60	3	satisfy	satisfy	VERB
cana-589	60	4	the	the	DET
cana-589	60	5	equation	equation	NOUN
cana-589	60	6	(	(	PUNCT
cana-589	60	7	1.7	1.7	NUM
cana-589	60	8	)	)	PUNCT
cana-589	60	9	,	,	PUNCT
cana-589	60	10	it	it	PRON
cana-589	60	11	is	be	AUX
cana-589	60	12	expected	expect	VERB
cana-589	60	13	that	that	SCONJ
cana-589	60	14	there	there	PRON
cana-589	60	15	is	be	VERB
cana-589	60	16	a	a	DET
cana-589	60	17	velocity	velocity	NOUN
cana-589	60	18	potential	potential	NOUN
cana-589	60	19	.	.	PUNCT
cana-589	61	1	in	in	ADP
cana-589	61	2	the	the	DET
cana-589	61	3	case	case	NOUN
cana-589	61	4	of	of	ADP
cana-589	61	5	viscous	viscous	ADJ
cana-589	61	6	flows	flow	NOUN
cana-589	61	7	,	,	PUNCT
cana-589	61	8	we	we	PRON
cana-589	61	9	apply	apply	VERB
cana-589	61	10	the	the	DET
cana-589	61	11	following	follow	VERB
cana-589	61	12	ansatz	ansatz	ADJ
cana-589	61	13	form	form	NOUN
cana-589	61	14	for	for	ADP
cana-589	61	15	the	the	DET
cana-589	61	16	vector	vector	NOUN
cana-589	61	17	potential	potential	NOUN
cana-589	61	18	for	for	ADP
cana-589	61	19	the	the	DET
cana-589	61	20	appropriate	appropriate	ADJ
cana-589	61	21	velocity	velocity	NOUN
cana-589	61	22	field	field	NOUN
cana-589	61	23	to	to	PART
cana-589	61	24	find	find	VERB
cana-589	61	25	a	a	DET
cana-589	61	26	solution	solution	NOUN
cana-589	61	27	for	for	ADP
cana-589	61	28	the	the	DET
cana-589	61	29	topology	topology	NOUN
cana-589	61	30	conserving	conserve	VERB
cana-589	61	31	vorticity	vorticity	NOUN
cana-589	61	32	field	field	NOUN
cana-589	61	33	.	.	PUNCT
cana-589	62	1	𝑉	𝑉	PROPN
cana-589	62	2	=	=	SYM
cana-589	62	3	𝑒−𝐴𝜗𝑡	𝑒−𝐴𝜗𝑡	X
cana-589	62	4	(	(	PUNCT
cana-589	62	5	𝑎1	𝑎1	INTJ
cana-589	62	6	sin(−𝑎𝑥	sin(−𝑎𝑥	VERB
cana-589	62	7	+	+	CCONJ
cana-589	62	8	𝑏𝑦	𝑏𝑦	NOUN
cana-589	62	9	+	+	CCONJ
cana-589	62	10	𝑏𝑧	𝑏𝑧	NOUN
cana-589	62	11	)	)	PUNCT
cana-589	62	12	+	+	CCONJ
cana-589	62	13	𝑎2	𝑎2	PROPN
cana-589	62	14	cos(−𝑎𝑥	cos(−𝑎𝑥	PROPN
cana-589	62	15	+	+	CCONJ
cana-589	62	16	𝑏𝑦	𝑏𝑦	NOUN
cana-589	62	17	+	+	CCONJ
cana-589	62	18	𝑏𝑧	𝑏𝑧	NOUN
cana-589	62	19	)	)	PUNCT
cana-589	62	20	,	,	PUNCT
cana-589	62	21	𝑎3	𝑎3	PROPN
cana-589	62	22	sin(−𝑎𝑦	sin(−𝑎𝑦	PROPN
cana-589	62	23	+	+	CCONJ
cana-589	62	24	𝑏𝑥	𝑏𝑥	PROPN
cana-589	62	25	+	+	CCONJ
cana-589	62	26	𝑏𝑧	𝑏𝑧	NOUN
cana-589	62	27	)	)	PUNCT
cana-589	62	28	+	+	CCONJ
cana-589	62	29	𝑎4	𝑎4	PROPN
cana-589	62	30	cos(−𝑎𝑦	cos(−𝑎𝑦	NOUN
cana-589	62	31	+	+	CCONJ
cana-589	62	32	𝑏𝑥	𝑏𝑥	PROPN
cana-589	62	33	+	+	CCONJ
cana-589	62	34	𝑏𝑧	𝑏𝑧	NOUN
cana-589	62	35	)	)	PUNCT
cana-589	62	36	𝑎5	𝑎5	PROPN
cana-589	62	37	sin(−𝑎𝑧	sin(−𝑎𝑧	VERB
cana-589	62	38	+	+	CCONJ
cana-589	62	39	𝑏𝑥	𝑏𝑥	PRON
cana-589	63	1	+	+	CCONJ
cana-589	63	2	𝑏𝑦	𝑏𝑦	NOUN
cana-589	63	3	)	)	PUNCT
cana-589	63	4	+	+	NUM
cana-589	63	5	𝑎6cos	𝑎6cos	X
cana-589	63	6	(	(	PUNCT
cana-589	63	7	−𝑎𝑧	−𝑎𝑧	NOUN
cana-589	63	8	+	+	CCONJ
cana-589	63	9	𝑏𝑥	𝑏𝑥	PRON
cana-589	64	1	+	+	CCONJ
cana-589	64	2	𝑏𝑦	𝑏𝑦	NOUN
cana-589	64	3	)	)	PUNCT
cana-589	64	4	,	,	PUNCT
cana-589	64	5	)	)	PUNCT
cana-589	64	6	(	(	PUNCT
cana-589	64	7	2.1	2.1	NUM
cana-589	64	8	)	)	PUNCT
cana-589	64	9	where	where	SCONJ
cana-589	64	10	a1	a1	NOUN
cana-589	64	11	,	,	PUNCT
cana-589	64	12	a2	a2	PROPN
cana-589	64	13	,	,	PUNCT
cana-589	64	14	a3	a3	NOUN
cana-589	64	15	,	,	PUNCT
cana-589	64	16	a4	a4	PROPN
cana-589	64	17	,	,	PUNCT
cana-589	64	18	a5	a5	NOUN
cana-589	64	19	,	,	PUNCT
cana-589	64	20	and	and	CCONJ
cana-589	64	21	a6	a6	NOUN
cana-589	64	22	are	be	AUX
cana-589	64	23	arbitrary	arbitrary	ADJ
cana-589	64	24	real	real	ADJ
cana-589	64	25	parameters	parameter	NOUN
cana-589	64	26	.	.	PUNCT
cana-589	65	1	taking	take	VERB
cana-589	65	2	the	the	DET
cana-589	65	3	curl	curl	NOUN
cana-589	65	4	of	of	ADP
cana-589	65	5	the	the	DET
cana-589	65	6	above	above	ADJ
cana-589	65	7	equation	equation	NOUN
cana-589	65	8	,	,	PUNCT
cana-589	65	9	we	we	PRON
cana-589	65	10	get	get	VERB
cana-589	65	11	𝑢	𝑢	NOUN
cana-589	65	12	=	=	SYM
cana-589	65	13	𝑏𝑒−𝐴𝜗𝑡	𝑏𝑒−𝐴𝜗𝑡	X
cana-589	65	14	(	(	PUNCT
cana-589	65	15	−𝑎4sin(−𝑎𝑦	−𝑎4sin(−𝑎𝑦	NOUN
cana-589	65	16	+	+	CCONJ
cana-589	65	17	𝑏𝑥	𝑏𝑥	PROPN
cana-589	65	18	+	+	CCONJ
cana-589	65	19	𝑏𝑧	𝑏𝑧	NOUN
cana-589	65	20	)	)	PUNCT
cana-589	66	1	−	−	PROPN
cana-589	66	2	𝑎6	𝑎6	NOUN
cana-589	66	3	sin(−𝑎𝑧	sin(−𝑎𝑧	NOUN
cana-589	66	4	+	+	CCONJ
cana-589	66	5	𝑏𝑥	𝑏𝑥	NOUN
cana-589	66	6	+	+	CCONJ
cana-589	66	7	𝑏𝑦	𝑏𝑦	NOUN
cana-589	66	8	)	)	PUNCT
cana-589	66	9	−	−	PROPN
cana-589	66	10	𝑎3	𝑎3	PROPN
cana-589	66	11	cos(−𝑎𝑦	cos(−𝑎𝑦	PROPN
cana-589	66	12	+	+	CCONJ
cana-589	66	13	𝑏𝑥	𝑏𝑥	PROPN
cana-589	66	14	+	+	CCONJ
cana-589	66	15	𝑏𝑧	𝑏𝑧	NOUN
cana-589	66	16	)	)	PUNCT
cana-589	66	17	+	+	CCONJ
cana-589	66	18	𝑎5	𝑎5	PROPN
cana-589	66	19	cos(−𝑎𝑧	cos(−𝑎𝑧	PROPN
cana-589	66	20	+	+	CCONJ
cana-589	66	21	𝑏𝑥	𝑏𝑥	PRON
cana-589	66	22	+	+	CCONJ
cana-589	66	23	𝑏𝑦	𝑏𝑦	NOUN
cana-589	66	24	)	)	PUNCT
cana-589	66	25	𝑎2	𝑎2	NOUN
cana-589	66	26	sin(−𝑎𝑥	sin(−𝑎𝑥	PROPN
cana-589	66	27	+	+	CCONJ
cana-589	66	28	𝑏𝑦	𝑏𝑦	NOUN
cana-589	66	29	+	+	CCONJ
cana-589	66	30	𝑏𝑧	𝑏𝑧	NOUN
cana-589	66	31	)	)	PUNCT
cana-589	66	32	+	+	CCONJ
cana-589	66	33	𝑎6	𝑎6	NOUN
cana-589	66	34	sin(−𝑎𝑧	sin(−𝑎𝑧	NOUN
cana-589	66	35	+	+	CCONJ
cana-589	66	36	𝑏𝑥	𝑏𝑥	NOUN
cana-589	66	37	+	+	CCONJ
cana-589	66	38	𝑏𝑦	𝑏𝑦	NOUN
cana-589	66	39	)	)	PUNCT
cana-589	67	1	+	+	CCONJ
cana-589	68	1	𝑎1	𝑎1	ADP
cana-589	68	2	cos(−𝑎𝑥	cos(−𝑎𝑥	PROPN
cana-589	69	1	+	+	CCONJ
cana-589	69	2	𝑏𝑦	𝑏𝑦	NOUN
cana-589	69	3	+	+	CCONJ
cana-589	69	4	𝑏𝑧	𝑏𝑧	NOUN
cana-589	69	5	)	)	PUNCT
cana-589	69	6	−	−	PROPN
cana-589	69	7	𝑎5	𝑎5	PROPN
cana-589	69	8	cos(−𝑎𝑧	cos(−𝑎𝑧	PROPN
cana-589	69	9	+	+	CCONJ
cana-589	69	10	𝑏𝑥	𝑏𝑥	PRON
cana-589	70	1	+	+	CCONJ
cana-589	70	2	𝑏𝑦	𝑏𝑦	NOUN
cana-589	70	3	)	)	PUNCT
cana-589	70	4	𝑎3	𝑎3	PROPN
cana-589	70	5	cos(−𝑎𝑦	cos(−𝑎𝑦	PROPN
cana-589	70	6	+	+	CCONJ
cana-589	70	7	𝑏𝑥	𝑏𝑥	PROPN
cana-589	70	8	+	+	CCONJ
cana-589	70	9	𝑏𝑧	𝑏𝑧	NOUN
cana-589	70	10	)	)	PUNCT
cana-589	70	11	+	+	CCONJ
cana-589	70	12	𝑎4	𝑎4	PROPN
cana-589	70	13	sin(−𝑎𝑦	sin(−𝑎𝑦	NOUN
cana-589	70	14	+	+	CCONJ
cana-589	70	15	𝑏𝑥	𝑏𝑥	PROPN
cana-589	70	16	+	+	CCONJ
cana-589	70	17	𝑏𝑧	𝑏𝑧	NOUN
cana-589	70	18	)	)	PUNCT
cana-589	70	19	−	−	PROPN
cana-589	71	1	𝑎1	𝑎1	INTJ
cana-589	71	2	cos(−𝑎𝑥	cos(−𝑎𝑥	PROPN
cana-589	72	1	+	+	CCONJ
cana-589	72	2	𝑏𝑦	𝑏𝑦	NOUN
cana-589	72	3	+	+	CCONJ
cana-589	72	4	𝑏𝑧	𝑏𝑧	NOUN
cana-589	72	5	)	)	PUNCT
cana-589	72	6	+	+	CCONJ
cana-589	72	7	𝑎2	𝑎2	PROPN
cana-589	72	8	sin(−𝑎𝑥	sin(−𝑎𝑥	PROPN
cana-589	72	9	+	+	CCONJ
cana-589	72	10	𝑏𝑦	𝑏𝑦	NOUN
cana-589	72	11	+	+	CCONJ
cana-589	72	12	𝑏𝑧	𝑏𝑧	NOUN
cana-589	72	13	)	)	PUNCT
cana-589	72	14	−	−	NOUN
cana-589	72	15	,	,	PUNCT
cana-589	72	16	,	,	PUNCT
cana-589	72	17	)	)	PUNCT
cana-589	72	18	(	(	PUNCT
cana-589	72	19	2.2	2.2	NUM
cana-589	72	20	)	)	PUNCT
cana-589	72	21	equation	equation	NOUN
cana-589	72	22	(	(	PUNCT
cana-589	72	23	2.2	2.2	NUM
cana-589	72	24	)	)	PUNCT
cana-589	72	25	can	can	AUX
cana-589	72	26	be	be	AUX
cana-589	72	27	substituted	substitute	VERB
cana-589	72	28	into	into	ADP
cana-589	72	29	equation	equation	NOUN
cana-589	72	30	(	(	PUNCT
cana-589	72	31	1.8	1.8	NUM
cana-589	72	32	)	)	PUNCT
cana-589	72	33	in	in	ADP
cana-589	72	34	order	order	NOUN
cana-589	72	35	to	to	PART
cana-589	72	36	satisfy	satisfy	VERB
cana-589	72	37	the	the	DET
cana-589	72	38	continuity	continuity	NOUN
cana-589	72	39	equation	equation	NOUN
cana-589	72	40	.	.	PUNCT
cana-589	73	1	the	the	DET
cana-589	73	2	vorticity	vorticity	NOUN
cana-589	73	3	field	field	NOUN
cana-589	73	4	can	can	AUX
cana-589	73	5	be	be	AUX
cana-589	73	6	obtained	obtain	VERB
cana-589	73	7	by	by	ADP
cana-589	73	8	putting	put	VERB
cana-589	73	9	equation	equation	NOUN
cana-589	73	10	(	(	PUNCT
cana-589	73	11	2.2	2.2	NUM
cana-589	73	12	)	)	PUNCT
cana-589	73	13	in	in	ADP
cana-589	73	14	equation	equation	NOUN
cana-589	73	15	(	(	PUNCT
cana-589	73	16	1.6	1.6	NUM
cana-589	73	17	)	)	PUNCT
cana-589	73	18	.	.	PUNCT
cana-589	74	1	𝑤	𝑤	X
cana-589	74	2	=	=	NOUN
cana-589	74	3	𝑏𝑒−𝐴𝜗𝑡(−2𝑏𝑎1	𝑏𝑒−𝐴𝜗𝑡(−2𝑏𝑎1	NOUN
cana-589	74	4	sin(−𝑎𝑥	sin(−𝑎𝑥	NOUN
cana-589	74	5	+	+	CCONJ
cana-589	74	6	𝑏𝑦	𝑏𝑦	NOUN
cana-589	74	7	+	+	CCONJ
cana-589	74	8	𝑏𝑧	𝑏𝑧	NOUN
cana-589	74	9	)	)	PUNCT
cana-589	74	10	+	+	NUM
cana-589	74	11	2𝑏𝑎2	2𝑏𝑎2	NUM
cana-589	75	1	cos(−𝑎𝑥	cos(−𝑎𝑥	NOUN
cana-589	75	2	+	+	CCONJ
cana-589	75	3	𝑏𝑦	𝑏𝑦	NOUN
cana-589	75	4	+	+	CCONJ
cana-589	75	5	𝑏𝑧	𝑏𝑧	NOUN
cana-589	75	6	)	)	PUNCT
cana-589	76	1	+	+	CCONJ
cana-589	76	2	𝑎(𝑎3	𝑎(𝑎3	NOUN
cana-589	76	3	sin(−𝑎𝑦	sin(−𝑎𝑦	NOUN
cana-589	76	4	+	+	CCONJ
cana-589	76	5	𝑏𝑥	𝑏𝑥	PROPN
cana-589	76	6	+	+	CCONJ
cana-589	76	7	𝑏𝑧	𝑏𝑧	NOUN
cana-589	76	8	)	)	PUNCT
cana-589	76	9	−	−	PROPN
cana-589	76	10	𝑎4	𝑎4	PROPN
cana-589	76	11	cos(−𝑎𝑦	cos(−𝑎𝑦	NOUN
cana-589	76	12	+	+	CCONJ
cana-589	76	13	𝑏𝑥	𝑏𝑥	PROPN
cana-589	76	14	+	+	CCONJ
cana-589	76	15	𝑏𝑧	𝑏𝑧	NOUN
cana-589	76	16	)	)	PUNCT
cana-589	76	17	−	−	PROPN
cana-589	76	18	𝑎5	𝑎5	PROPN
cana-589	76	19	sin(−𝑎𝑧	sin(−𝑎𝑧	VERB
cana-589	76	20	+	+	CCONJ
cana-589	76	21	𝑏𝑥	𝑏𝑥	PRON
cana-589	76	22	+	+	CCONJ
cana-589	76	23	𝑏𝑦	𝑏𝑦	NOUN
cana-589	76	24	)	)	PUNCT
cana-589	76	25	+	+	NUM
cana-589	76	26	𝑎6	𝑎6	NOUN
cana-589	76	27	cos(−𝑎𝑧	cos(−𝑎𝑧	PROPN
cana-589	76	28	+	+	CCONJ
cana-589	76	29	𝑏𝑥	𝑏𝑥	PROPN
cana-589	76	30	+	+	CCONJ
cana-589	76	31	𝑏𝑦	𝑏𝑦	NOUN
cana-589	76	32	)	)	PUNCT
cana-589	76	33	)	)	PUNCT
cana-589	76	34	,	,	PUNCT
cana-589	77	1	𝑎(−𝑎1	𝑎(−𝑎1	NOUN
cana-589	77	2	sin(−𝑎𝑥	sin(−𝑎𝑥	NOUN
cana-589	78	1	+	+	CCONJ
cana-589	78	2	𝑏𝑦	𝑏𝑦	NOUN
cana-589	78	3	+	+	CCONJ
cana-589	78	4	𝑏𝑧	𝑏𝑧	NOUN
cana-589	78	5	)	)	PUNCT
cana-589	78	6	−	−	PROPN
cana-589	78	7	𝑎2	𝑎2	PROPN
cana-589	78	8	cos(−𝑎𝑥	cos(−𝑎𝑥	PROPN
cana-589	78	9	+	+	CCONJ
cana-589	78	10	𝑏𝑦	𝑏𝑦	NOUN
cana-589	78	11	+	+	CCONJ
cana-589	78	12	𝑏𝑧	𝑏𝑧	NOUN
cana-589	78	13	)	)	PUNCT
cana-589	78	14	+	+	CCONJ
cana-589	78	15	𝑎4	𝑎4	PROPN
cana-589	78	16	cos(−𝑎𝑦	cos(−𝑎𝑦	NOUN
cana-589	78	17	+	+	CCONJ
cana-589	78	18	𝑏𝑥	𝑏𝑥	PROPN
cana-589	78	19	+	+	CCONJ
cana-589	78	20	𝑏𝑧	𝑏𝑧	NOUN
cana-589	78	21	)	)	PUNCT
cana-589	78	22	−	−	PROPN
cana-589	78	23	𝑎5	𝑎5	PROPN
cana-589	78	24	sin(−𝑎𝑧	sin(−𝑎𝑧	VERB
cana-589	78	25	+	+	CCONJ
cana-589	78	26	𝑏𝑥	𝑏𝑥	PRON
cana-589	79	1	+	+	CCONJ
cana-589	79	2	𝑏𝑦	𝑏𝑦	NOUN
cana-589	79	3	)	)	PUNCT
cana-589	79	4	−	−	PROPN
cana-589	80	1	𝑎6	𝑎6	NOUN
cana-589	80	2	cos(−𝑎𝑧	cos(−𝑎𝑧	NOUN
cana-589	80	3	+	+	CCONJ
cana-589	80	4	𝑏𝑥	𝑏𝑥	PROPN
cana-589	80	5	+	+	CCONJ
cana-589	80	6	𝑏𝑦	𝑏𝑦	NOUN
cana-589	80	7	)	)	PUNCT
cana-589	80	8	)	)	PUNCT
cana-589	81	1	+	+	CCONJ
cana-589	81	2	𝑏(−2𝑎3	𝑏(−2𝑎3	X
cana-589	81	3	sin(−𝑎𝑦	sin(−𝑎𝑦	NOUN
cana-589	81	4	+	+	CCONJ
cana-589	81	5	𝑏𝑥	𝑏𝑥	PROPN
cana-589	81	6	+	+	CCONJ
cana-589	81	7	𝑏𝑧	𝑏𝑧	NOUN
cana-589	81	8	)	)	PUNCT
cana-589	81	9	+	+	CCONJ
cana-589	81	10	𝑎4	𝑎4	PROPN
cana-589	81	11	cos(−𝑎𝑦	cos(−𝑎𝑦	NOUN
cana-589	81	12	+	+	CCONJ
cana-589	81	13	𝑏𝑥	𝑏𝑥	PROPN
cana-589	81	14	+	+	CCONJ
cana-589	81	15	𝑏𝑧	𝑏𝑧	NOUN
cana-589	81	16	)	)	PUNCT
cana-589	81	17	)	)	PUNCT
cana-589	81	18	,	,	PUNCT
cana-589	81	19	𝑎(𝑎1	𝑎(𝑎1	VERB
cana-589	81	20	sin(−𝑎𝑥	sin(−𝑎𝑥	NOUN
cana-589	81	21	+	+	CCONJ
cana-589	81	22	𝑏𝑦	𝑏𝑦	NOUN
cana-589	81	23	+	+	CCONJ
cana-589	81	24	𝑏𝑧	𝑏𝑧	NOUN
cana-589	81	25	)	)	PUNCT
cana-589	81	26	−	−	PROPN
cana-589	81	27	𝑎2	𝑎2	PROPN
cana-589	81	28	cos(−𝑎𝑥	cos(−𝑎𝑥	PROPN
cana-589	81	29	+	+	CCONJ
cana-589	81	30	𝑏𝑦	𝑏𝑦	NOUN
cana-589	81	31	+	+	CCONJ
cana-589	81	32	𝑏𝑧	𝑏𝑧	NOUN
cana-589	81	33	)	)	PUNCT
cana-589	81	34	+	+	CCONJ
cana-589	81	35	𝑎3	𝑎3	PROPN
cana-589	81	36	sin(−𝑎𝑦	sin(−𝑎𝑦	NOUN
cana-589	81	37	+	+	CCONJ
cana-589	81	38	𝑏𝑥	𝑏𝑥	PROPN
cana-589	81	39	+	+	CCONJ
cana-589	81	40	𝑏𝑧	𝑏𝑧	NOUN
cana-589	81	41	)	)	PUNCT
cana-589	81	42	−	−	PROPN
cana-589	81	43	𝑎4	𝑎4	PROPN
cana-589	81	44	cos(−𝑎𝑦	cos(−𝑎𝑦	NOUN
cana-589	81	45	+	+	CCONJ
cana-589	81	46	𝑏𝑥	𝑏𝑥	PROPN
cana-589	81	47	+	+	CCONJ
cana-589	81	48	𝑏𝑧	𝑏𝑧	NOUN
cana-589	81	49	)	)	PUNCT
cana-589	81	50	)	)	PUNCT
cana-589	82	1	+	+	CCONJ
cana-589	83	1	𝑏(2𝑎5	𝑏(2𝑎5	PRON
cana-589	83	2	sin(−𝑎𝑧	sin(−𝑎𝑧	NOUN
cana-589	83	3	+	+	CCONJ
cana-589	83	4	𝑏𝑥	𝑏𝑥	NOUN
cana-589	83	5	+	+	CCONJ
cana-589	83	6	𝑏𝑦	𝑏𝑦	NOUN
cana-589	83	7	)	)	PUNCT
cana-589	83	8	+	+	CCONJ
cana-589	83	9	2𝑎6	2𝑎6	NUM
cana-589	83	10	cos(−𝑎𝑧	cos(−𝑎𝑧	PROPN
cana-589	83	11	+	+	CCONJ
cana-589	83	12	𝑏𝑥	𝑏𝑥	PROPN
cana-589	83	13	+	+	CCONJ
cana-589	83	14	𝑏𝑦	𝑏𝑦	NOUN
cana-589	83	15	)	)	PUNCT
cana-589	83	16	)	)	PUNCT
cana-589	83	17	)	)	PUNCT
cana-589	83	18	(	(	PUNCT
cana-589	83	19	2.3	2.3	NUM
cana-589	83	20	)	)	PUNCT
cana-589	83	21	by	by	ADP
cana-589	83	22	substituting	substitute	VERB
cana-589	83	23	equation	equation	NOUN
cana-589	83	24	(	(	PUNCT
cana-589	83	25	2.3	2.3	NUM
cana-589	83	26	)	)	PUNCT
cana-589	83	27	in	in	ADP
cana-589	83	28	the	the	DET
cana-589	83	29	vorticity	vorticity	NOUN
cana-589	83	30	equation	equation	NOUN
cana-589	83	31	(	(	PUNCT
cana-589	83	32	1.7	1.7	NUM
cana-589	83	33	)	)	PUNCT
cana-589	83	34	,	,	PUNCT
cana-589	83	35	we	we	PRON
cana-589	83	36	obtain	obtain	VERB
cana-589	83	37	the	the	DET
cana-589	83	38	set	set	NOUN
cana-589	83	39	of	of	ADP
cana-589	83	40	following	follow	VERB
cana-589	83	41	nonlinear	nonlinear	ADJ
cana-589	83	42	algebraic	algebraic	ADJ
cana-589	83	43	equations	equation	NOUN
cana-589	83	44	communications	communication	NOUN
cana-589	83	45	on	on	ADP
cana-589	83	46	applied	apply	VERB
cana-589	83	47	nonlinear	nonlinear	ADJ
cana-589	83	48	analysis	analysis	NOUN
cana-589	83	49	issn	issn	NOUN
cana-589	83	50	:	:	PUNCT
cana-589	83	51	1074	1074	NUM
cana-589	83	52	-	-	PUNCT
cana-589	83	53	133x	133x	NUM
cana-589	83	54	vol	vol	NOUN
cana-589	83	55	31	31	NUM
cana-589	83	56	no	no	NOUN
cana-589	83	57	.	.	PUNCT
cana-589	84	1	2s	2s	NUM
cana-589	84	2	(	(	PUNCT
cana-589	84	3	2024	2024	NUM
cana-589	84	4	)	)	PUNCT
cana-589	84	5	20	20	NUM
cana-589	84	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-589	84	7	𝑎2	𝑎2	NOUN
cana-589	84	8	−	−	PROPN
cana-589	84	9	𝐴	𝐴	PROPN
cana-589	84	10	+	+	CCONJ
cana-589	84	11	2𝑏2	2𝑏2	NUM
cana-589	84	12	=	=	SYM
cana-589	84	13	0	0	PUNCT
cana-589	85	1	(	(	PUNCT
cana-589	85	2	𝑎1𝑎4	𝑎1𝑎4	NOUN
cana-589	85	3	−	−	PROPN
cana-589	85	4	𝑎2𝑎3)(𝑎2	𝑎2𝑎3)(𝑎2	NOUN
cana-589	85	5	−	−	NOUN
cana-589	85	6	𝑎𝑏	𝑎𝑏	PROPN
cana-589	85	7	−	−	PROPN
cana-589	85	8	2𝑏2	2𝑏2	NUM
cana-589	85	9	)	)	PUNCT
cana-589	85	10	=	=	SYM
cana-589	85	11	0	0	PUNCT
cana-589	85	12	(	(	PUNCT
cana-589	85	13	𝑎1𝑎3	𝑎1𝑎3	PROPN
cana-589	85	14	+	+	X
cana-589	85	15	𝑎2𝑎4)(𝑎2	𝑎2𝑎4)(𝑎2	NUM
cana-589	85	16	−	−	NOUN
cana-589	85	17	𝑎𝑏	𝑎𝑏	PROPN
cana-589	85	18	−	−	PROPN
cana-589	85	19	2𝑏2	2𝑏2	NUM
cana-589	85	20	)	)	PUNCT
cana-589	85	21	=	=	SYM
cana-589	85	22	0	0	PUNCT
cana-589	85	23	(	(	PUNCT
cana-589	85	24	𝑎2𝑎5	𝑎2𝑎5	X
cana-589	85	25	+	+	X
cana-589	85	26	𝑎1𝑎6)(𝑎2	𝑎1𝑎6)(𝑎2	NOUN
cana-589	85	27	−	−	NOUN
cana-589	85	28	𝑎𝑏	𝑎𝑏	PROPN
cana-589	85	29	−	−	PROPN
cana-589	85	30	2𝑏2	2𝑏2	NUM
cana-589	85	31	)	)	PUNCT
cana-589	85	32	=	=	SYM
cana-589	85	33	0	0	PUNCT
cana-589	85	34	(	(	PUNCT
cana-589	85	35	𝑎1𝑎5	𝑎1𝑎5	VERB
cana-589	85	36	−	−	X
cana-589	85	37	𝑎2𝑎6)(𝑎2	𝑎2𝑎6)(𝑎2	NUM
cana-589	85	38	−	−	NOUN
cana-589	85	39	𝑎𝑏	𝑎𝑏	PROPN
cana-589	85	40	−	−	PROPN
cana-589	85	41	2𝑏2	2𝑏2	NUM
cana-589	85	42	)	)	PUNCT
cana-589	86	1	=	=	SYM
cana-589	86	2	0	0	PUNCT
cana-589	86	3	(	(	PUNCT
cana-589	86	4	𝑎3𝑎6	𝑎3𝑎6	CCONJ
cana-589	86	5	−	−	PROPN
cana-589	86	6	𝑎4𝑎5)(𝑎2	𝑎4𝑎5)(𝑎2	NOUN
cana-589	86	7	−	−	NOUN
cana-589	86	8	𝑎𝑏	𝑎𝑏	PROPN
cana-589	86	9	−	−	PROPN
cana-589	86	10	2𝑏2	2𝑏2	NUM
cana-589	86	11	)	)	PUNCT
cana-589	86	12	=	=	SYM
cana-589	86	13	0	0	PUNCT
cana-589	86	14	(	(	PUNCT
cana-589	86	15	𝑎3𝑎5	𝑎3𝑎5	NOUN
cana-589	86	16	+	+	CCONJ
cana-589	86	17	𝑎4𝑎6)(𝑎2	𝑎4𝑎6)(𝑎2	NUM
cana-589	86	18	−	−	NOUN
cana-589	86	19	𝑎𝑏	𝑎𝑏	PROPN
cana-589	86	20	−	−	PROPN
cana-589	86	21	2𝑏2	2𝑏2	NUM
cana-589	86	22	)	)	PUNCT
cana-589	86	23	=	=	SYM
cana-589	86	24	0	0	PUNCT
cana-589	86	25	(	(	PUNCT
cana-589	86	26	2.4	2.4	NUM
cana-589	86	27	)	)	PUNCT
cana-589	86	28	3.1	3.1	NUM
cana-589	86	29	first	first	ADJ
cana-589	86	30	solution	solution	NOUN
cana-589	86	31	a	a	DET
cana-589	86	32	solution	solution	NOUN
cana-589	86	33	to	to	ADP
cana-589	86	34	the	the	DET
cana-589	86	35	above	above	ADJ
cana-589	86	36	system	system	NOUN
cana-589	86	37	of	of	ADP
cana-589	86	38	nonlinear	nonlinear	ADJ
cana-589	86	39	equation	equation	NOUN
cana-589	86	40	(	(	PUNCT
cana-589	86	41	2.4	2.4	NUM
cana-589	86	42	)	)	PUNCT
cana-589	86	43	is	be	AUX
cana-589	86	44	given	give	VERB
cana-589	86	45	by	by	ADP
cana-589	86	46	a	a	DET
cana-589	86	47	=	=	NOUN
cana-589	86	48	3a2	3a2	NUM
cana-589	86	49	and	and	CCONJ
cana-589	86	50	b	b	X
cana-589	86	51	=	=	SYM
cana-589	86	52	−a	−a	NOUN
cana-589	86	53	.	.	PUNCT
cana-589	87	1	the	the	DET
cana-589	87	2	specific	specific	ADJ
cana-589	87	3	solution	solution	NOUN
cana-589	87	4	of	of	ADP
cana-589	87	5	the	the	DET
cana-589	87	6	navier	navier	NOUN
cana-589	87	7	-	-	PUNCT
cana-589	87	8	stokes	stoke	NOUN
cana-589	87	9	equation	equation	NOUN
cana-589	87	10	,	,	PUNCT
cana-589	87	11	which	which	PRON
cana-589	87	12	satisfies	satisfy	VERB
cana-589	87	13	equations	equation	NOUN
cana-589	87	14	(	(	PUNCT
cana-589	87	15	1.4	1.4	NUM
cana-589	87	16	)	)	PUNCT
cana-589	87	17	and	and	CCONJ
cana-589	87	18	(	(	PUNCT
cana-589	87	19	1.5	1.5	NUM
cana-589	87	20	)	)	PUNCT
cana-589	87	21	,	,	PUNCT
cana-589	87	22	can	can	AUX
cana-589	87	23	be	be	AUX
cana-589	87	24	obtained	obtain	VERB
cana-589	87	25	by	by	ADP
cana-589	87	26	𝑢	𝑢	NOUN
cana-589	87	27	=	=	SYM
cana-589	87	28	𝑎𝑒−3𝑎2𝜗𝑡	𝑎𝑒−3𝑎2𝜗𝑡	PROPN
cana-589	87	29	(	(	PUNCT
cana-589	87	30	(	(	PUNCT
cana-589	87	31	𝑎3	𝑎3	PROPN
cana-589	87	32	−	−	PROPN
cana-589	87	33	𝑎5	𝑎5	PROPN
cana-589	87	34	)	)	PUNCT
cana-589	87	35	cos(𝑎(𝑥	cos(𝑎(𝑥	NOUN
cana-589	88	1	+	+	CCONJ
cana-589	88	2	𝑦	𝑦	PROPN
cana-589	88	3	+	+	X
cana-589	88	4	𝑧	𝑧	NOUN
cana-589	88	5	)	)	PUNCT
cana-589	88	6	)	)	PUNCT
cana-589	89	1	−	−	PROPN
cana-589	89	2	(	(	PUNCT
cana-589	89	3	𝑎4	𝑎4	PROPN
cana-589	89	4	+	+	CCONJ
cana-589	89	5	𝑎6	𝑎6	NOUN
cana-589	89	6	)	)	PUNCT
cana-589	89	7	sin(𝑎(𝑥	sin(𝑎(𝑥	NOUN
cana-589	90	1	+	+	NUM
cana-589	90	2	𝑦	𝑦	PROPN
cana-589	90	3	+	+	X
cana-589	90	4	𝑧	𝑧	NOUN
cana-589	90	5	)	)	PUNCT
cana-589	90	6	)	)	PUNCT
cana-589	90	7	,	,	PUNCT
cana-589	90	8	(	(	PUNCT
cana-589	90	9	𝑎5	𝑎5	PROPN
cana-589	90	10	−	−	NOUN
cana-589	90	11	𝑎1	𝑎1	PROPN
cana-589	90	12	)	)	PUNCT
cana-589	90	13	cos(𝑎(𝑥	cos(𝑎(𝑥	PROPN
cana-589	91	1	+	+	CCONJ
cana-589	91	2	𝑦	𝑦	PROPN
cana-589	91	3	+	+	X
cana-589	91	4	𝑧	𝑧	X
cana-589	91	5	)	)	PUNCT
cana-589	91	6	)	)	PUNCT
cana-589	92	1	+	+	CCONJ
cana-589	92	2	(	(	PUNCT
cana-589	92	3	𝑎2	𝑎2	NOUN
cana-589	92	4	+	+	SYM
cana-589	92	5	𝑎6	𝑎6	NOUN
cana-589	92	6	)	)	PUNCT
cana-589	92	7	sin(𝑎(𝑥	sin(𝑎(𝑥	NOUN
cana-589	93	1	+	+	NUM
cana-589	93	2	𝑦	𝑦	PROPN
cana-589	93	3	+	+	X
cana-589	93	4	𝑧	𝑧	X
cana-589	93	5	)	)	PUNCT
cana-589	93	6	)	)	PUNCT
cana-589	94	1	(	(	PUNCT
cana-589	94	2	𝑎1	𝑎1	ADP
cana-589	94	3	−	−	PROPN
cana-589	94	4	𝑎3	𝑎3	PROPN
cana-589	94	5	)	)	PUNCT
cana-589	94	6	cos(𝑎(𝑥	cos(𝑎(𝑥	NOUN
cana-589	95	1	+	+	CCONJ
cana-589	95	2	𝑦	𝑦	PROPN
cana-589	95	3	+	+	X
cana-589	95	4	𝑧	𝑧	X
cana-589	95	5	)	)	PUNCT
cana-589	95	6	)	)	PUNCT
cana-589	96	1	+	+	CCONJ
cana-589	96	2	(	(	PUNCT
cana-589	96	3	𝑎2	𝑎2	PROPN
cana-589	96	4	+	+	NUM
cana-589	96	5	𝑎4	𝑎4	PROPN
cana-589	96	6	)	)	PUNCT
cana-589	96	7	sin(𝑎(𝑥	sin(𝑎(𝑥	NOUN
cana-589	97	1	+	+	NUM
cana-589	97	2	𝑦	𝑦	PROPN
cana-589	97	3	+	+	X
cana-589	97	4	𝑧	𝑧	NOUN
cana-589	97	5	)	)	PUNCT
cana-589	97	6	)	)	PUNCT
cana-589	97	7	,	,	PUNCT
cana-589	97	8	)	)	PUNCT
cana-589	97	9	(	(	PUNCT
cana-589	97	10	3.1	3.1	NUM
cana-589	97	11	)	)	PUNCT
cana-589	97	12	equation	equation	NOUN
cana-589	97	13	(	(	PUNCT
cana-589	97	14	3.1	3.1	NUM
cana-589	97	15	)	)	PUNCT
cana-589	97	16	satisfies	satisfy	VERB
cana-589	97	17	equation	equation	NOUN
cana-589	97	18	(	(	PUNCT
cana-589	97	19	1.4	1.4	NUM
cana-589	97	20	)	)	PUNCT
cana-589	97	21	and	and	CCONJ
cana-589	97	22	(	(	PUNCT
cana-589	97	23	1.5	1.5	NUM
cana-589	97	24	)	)	PUNCT
cana-589	97	25	.	.	PUNCT
cana-589	98	1	hence	hence	ADV
cana-589	98	2	,	,	PUNCT
cana-589	98	3	the	the	DET
cana-589	98	4	above	above	ADJ
cana-589	98	5	is	be	AUX
cana-589	98	6	the	the	DET
cana-589	98	7	exact	exact	ADJ
cana-589	98	8	solution	solution	NOUN
cana-589	98	9	of	of	ADP
cana-589	98	10	the	the	DET
cana-589	98	11	navierstokes	navierstoke	NOUN
cana-589	98	12	equation	equation	NOUN
cana-589	98	13	.	.	PUNCT
cana-589	99	1	corresponding	correspond	VERB
cana-589	99	2	vorticity	vorticity	NOUN
cana-589	99	3	vector	vector	NOUN
cana-589	99	4	is	be	AUX
cana-589	99	5	𝑤	𝑤	ADP
cana-589	99	6	=	=	SYM
cana-589	99	7	𝑏𝑒−3𝑎2𝜗𝑡(−2𝑏𝑎1	𝑏𝑒−3𝑎2𝜗𝑡(−2𝑏𝑎1	PROPN
cana-589	99	8	sin(−𝑎(𝑥	sin(−𝑎(𝑥	PROPN
cana-589	100	1	+	+	CCONJ
cana-589	100	2	𝑦	𝑦	PROPN
cana-589	100	3	+	+	X
cana-589	100	4	𝑧	𝑧	X
cana-589	100	5	)	)	PUNCT
cana-589	100	6	)	)	PUNCT
cana-589	101	1	+	+	CCONJ
cana-589	101	2	2𝑏𝑎2	2𝑏𝑎2	X
cana-589	101	3	cos(−𝑎(𝑥	cos(−𝑎(𝑥	X
cana-589	101	4	+	+	CCONJ
cana-589	101	5	𝑦	𝑦	PROPN
cana-589	101	6	+	+	X
cana-589	101	7	𝑧	𝑧	X
cana-589	101	8	)	)	PUNCT
cana-589	101	9	)	)	PUNCT
cana-589	102	1	+	+	ADV
cana-589	102	2	𝑎(𝑎3	𝑎(𝑎3	PROPN
cana-589	102	3	sin(−𝑎(𝑥	sin(−𝑎(𝑥	PROPN
cana-589	102	4	+	+	PROPN
cana-589	102	5	𝑦	𝑦	PROPN
cana-589	102	6	+	+	X
cana-589	102	7	𝑧	𝑧	X
cana-589	102	8	)	)	PUNCT
cana-589	102	9	)	)	PUNCT
cana-589	103	1	−	−	PROPN
cana-589	103	2	𝑎4	𝑎4	PROPN
cana-589	103	3	cos(−𝑎(𝑥	cos(−𝑎(𝑥	PROPN
cana-589	103	4	+	+	CCONJ
cana-589	103	5	𝑦	𝑦	PROPN
cana-589	103	6	+	+	X
cana-589	103	7	𝑧	𝑧	X
cana-589	103	8	)	)	PUNCT
cana-589	103	9	)	)	PUNCT
cana-589	103	10	−	−	PROPN
cana-589	104	1	𝑎5	𝑎5	PROPN
cana-589	104	2	sin(−𝑎(𝑥	sin(−𝑎(𝑥	PROPN
cana-589	104	3	+	+	PROPN
cana-589	104	4	𝑦	𝑦	PROPN
cana-589	104	5	+	+	X
cana-589	104	6	𝑧	𝑧	X
cana-589	104	7	)	)	PUNCT
cana-589	104	8	)	)	PUNCT
cana-589	105	1	+	+	CCONJ
cana-589	105	2	𝑎6	𝑎6	NOUN
cana-589	105	3	cos(−𝑎(𝑥	cos(−𝑎(𝑥	PROPN
cana-589	105	4	+	+	CCONJ
cana-589	105	5	𝑦	𝑦	PROPN
cana-589	105	6	+	+	X
cana-589	105	7	𝑧	𝑧	NOUN
cana-589	105	8	)	)	PUNCT
cana-589	105	9	)	)	PUNCT
cana-589	105	10	,	,	PUNCT
cana-589	105	11	𝑎(−𝑎1	𝑎(−𝑎1	PROPN
cana-589	105	12	sin(−𝑎(𝑥	sin(−𝑎(𝑥	PROPN
cana-589	106	1	+	+	CCONJ
cana-589	106	2	𝑦	𝑦	PROPN
cana-589	106	3	+	+	X
cana-589	106	4	𝑧	𝑧	X
cana-589	106	5	)	)	PUNCT
cana-589	106	6	)	)	PUNCT
cana-589	107	1	−	−	PROPN
cana-589	107	2	𝑎2	𝑎2	PROPN
cana-589	107	3	cos(−𝑎(𝑥	cos(−𝑎(𝑥	PROPN
cana-589	107	4	+	+	PROPN
cana-589	107	5	𝑦	𝑦	PROPN
cana-589	107	6	+	+	X
cana-589	107	7	𝑧	𝑧	X
cana-589	107	8	)	)	PUNCT
cana-589	107	9	)	)	PUNCT
cana-589	108	1	+	+	CCONJ
cana-589	108	2	𝑎4	𝑎4	PROPN
cana-589	108	3	cos(−𝑎(𝑥	cos(−𝑎(𝑥	PROPN
cana-589	108	4	+	+	CCONJ
cana-589	108	5	𝑦	𝑦	PROPN
cana-589	108	6	+	+	X
cana-589	108	7	𝑧	𝑧	X
cana-589	108	8	)	)	PUNCT
cana-589	108	9	)	)	PUNCT
cana-589	108	10	−	−	PROPN
cana-589	109	1	𝑎5	𝑎5	PROPN
cana-589	109	2	sin(−𝑎(𝑥	sin(−𝑎(𝑥	PROPN
cana-589	109	3	+	+	PROPN
cana-589	109	4	𝑦	𝑦	PROPN
cana-589	109	5	+	+	X
cana-589	109	6	𝑧	𝑧	NOUN
cana-589	109	7	)	)	PUNCT
cana-589	109	8	)	)	PUNCT
cana-589	110	1	−	−	PROPN
cana-589	110	2	𝑎6	𝑎6	PROPN
cana-589	110	3	cos(−𝑎(𝑥	cos(−𝑎(𝑥	PROPN
cana-589	110	4	+	+	CCONJ
cana-589	110	5	𝑦	𝑦	PROPN
cana-589	110	6	+	+	X
cana-589	110	7	𝑧	𝑧	X
cana-589	110	8	)	)	PUNCT
cana-589	110	9	)	)	PUNCT
cana-589	111	1	+	+	PROPN
cana-589	111	2	𝑏(−2𝑎3	𝑏(−2𝑎3	PROPN
cana-589	111	3	sin(−𝑎(𝑥	sin(−𝑎(𝑥	PROPN
cana-589	111	4	+	+	NOUN
cana-589	111	5	𝑦	𝑦	PROPN
cana-589	111	6	+	+	X
cana-589	111	7	𝑧	𝑧	X
cana-589	111	8	)	)	PUNCT
cana-589	111	9	)	)	PUNCT
cana-589	112	1	+	+	CCONJ
cana-589	112	2	𝑎4	𝑎4	PROPN
cana-589	112	3	cos(−𝑎(𝑥	cos(−𝑎(𝑥	PROPN
cana-589	112	4	+	+	CCONJ
cana-589	112	5	𝑦	𝑦	PROPN
cana-589	112	6	+	+	X
cana-589	112	7	𝑧	𝑧	NOUN
cana-589	112	8	)	)	PUNCT
cana-589	112	9	)	)	PUNCT
cana-589	112	10	,	,	PUNCT
cana-589	112	11	𝑎(𝑎1	𝑎(𝑎1	VERB
cana-589	112	12	sin(−𝑎(𝑥	sin(−𝑎(𝑥	PROPN
cana-589	113	1	+	+	PROPN
cana-589	113	2	𝑦	𝑦	PROPN
cana-589	113	3	+	+	X
cana-589	113	4	𝑧	𝑧	X
cana-589	113	5	)	)	PUNCT
cana-589	113	6	)	)	PUNCT
cana-589	114	1	−	−	PROPN
cana-589	114	2	𝑎2	𝑎2	PROPN
cana-589	114	3	cos(−𝑎(𝑥	cos(−𝑎(𝑥	PROPN
cana-589	114	4	+	+	PROPN
cana-589	114	5	𝑦	𝑦	PROPN
cana-589	114	6	+	+	X
cana-589	114	7	𝑧	𝑧	X
cana-589	114	8	)	)	PUNCT
cana-589	114	9	)	)	PUNCT
cana-589	115	1	+	+	CCONJ
cana-589	115	2	𝑎3	𝑎3	PROPN
cana-589	115	3	sin(−𝑎(𝑥	sin(−𝑎(𝑥	PROPN
cana-589	115	4	+	+	CCONJ
cana-589	115	5	𝑦	𝑦	PROPN
cana-589	115	6	+	+	X
cana-589	115	7	𝑧	𝑧	X
cana-589	115	8	)	)	PUNCT
cana-589	115	9	)	)	PUNCT
cana-589	116	1	−	−	PROPN
cana-589	116	2	𝑎4	𝑎4	PROPN
cana-589	116	3	cos(−𝑎(𝑥	cos(−𝑎(𝑥	PROPN
cana-589	116	4	+	+	CCONJ
cana-589	116	5	𝑦	𝑦	PROPN
cana-589	116	6	+	+	X
cana-589	116	7	𝑧	𝑧	X
cana-589	116	8	)	)	PUNCT
cana-589	116	9	)	)	PUNCT
cana-589	117	1	+	+	PUNCT
cana-589	117	2	𝑏(2𝑎5	𝑏(2𝑎5	VERB
cana-589	117	3	sin(−𝑎(𝑥	sin(−𝑎(𝑥	PROPN
cana-589	117	4	+	+	NOUN
cana-589	117	5	𝑦	𝑦	NOUN
cana-589	117	6	+	+	X
cana-589	117	7	𝑧	𝑧	X
cana-589	117	8	)	)	PUNCT
cana-589	117	9	)	)	PUNCT
cana-589	118	1	+	+	CCONJ
cana-589	118	2	2𝑎6	2𝑎6	NUM
cana-589	118	3	cos(−𝑎(𝑥	cos(−𝑎(𝑥	NOUN
cana-589	118	4	+	+	CCONJ
cana-589	118	5	𝑦	𝑦	PROPN
cana-589	118	6	+	+	X
cana-589	118	7	𝑧	𝑧	NOUN
cana-589	118	8	)	)	PUNCT
cana-589	118	9	)	)	PUNCT
cana-589	118	10	)	)	PUNCT
cana-589	118	11	)	)	PUNCT
cana-589	119	1	(	(	PUNCT
cana-589	119	2	3.2	3.2	NUM
cana-589	119	3	)	)	PUNCT
cana-589	119	4	velocity	velocity	NOUN
cana-589	119	5	vector	vector	NOUN
cana-589	119	6	field	field	NOUN
cana-589	119	7	is	be	AUX
cana-589	119	8	shown	show	VERB
cana-589	119	9	through	through	ADP
cana-589	119	10	figures	figure	NOUN
cana-589	119	11	(	(	PUNCT
cana-589	119	12	1	1	NUM
cana-589	119	13	-	-	SYM
cana-589	119	14	4	4	NUM
cana-589	119	15	)	)	PUNCT
cana-589	119	16	for	for	ADP
cana-589	119	17	various	various	ADJ
cana-589	119	18	kinematic	kinematic	ADJ
cana-589	119	19	viscosity	viscosity	NOUN
cana-589	119	20	.	.	PUNCT
cana-589	120	1	communications	communication	NOUN
cana-589	120	2	on	on	ADP
cana-589	120	3	applied	apply	VERB
cana-589	120	4	nonlinear	nonlinear	ADJ
cana-589	120	5	analysis	analysis	NOUN
cana-589	120	6	issn	issn	NOUN
cana-589	120	7	:	:	PUNCT
cana-589	120	8	1074	1074	NUM
cana-589	120	9	-	-	PUNCT
cana-589	120	10	133x	133x	NUM
cana-589	120	11	vol	vol	NOUN
cana-589	120	12	31	31	NUM
cana-589	120	13	no	no	NOUN
cana-589	120	14	.	.	PUNCT
cana-589	121	1	2s	2s	NUM
cana-589	121	2	(	(	PUNCT
cana-589	121	3	2024	2024	NUM
cana-589	121	4	)	)	PUNCT
cana-589	121	5	21	21	NUM
cana-589	121	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-589	121	7	fig	fig	NOUN
cana-589	121	8	1	1	NUM
cana-589	121	9	.	.	PUNCT
cana-589	121	10	plot	plot	NOUN
cana-589	121	11	of	of	ADP
cana-589	121	12	velocity	velocity	NOUN
cana-589	121	13	vector	vector	NOUN
cana-589	121	14	field	field	NOUN
cana-589	121	15	for	for	ADP
cana-589	121	16	air	air	NOUN
cana-589	121	17	(	(	PUNCT
cana-589	121	18	𝑎1=2.0	𝑎1=2.0	PROPN
cana-589	121	19	,	,	PUNCT
cana-589	121	20	𝑎2=2.0	𝑎2=2.0	PROPN
cana-589	121	21	,	,	PUNCT
cana-589	121	22	𝑎3=1.0	𝑎3=1.0	PROPN
cana-589	121	23	,	,	PUNCT
cana-589	121	24	𝑎4=2.0	𝑎4=2.0	PROPN
cana-589	121	25	,	,	PUNCT
cana-589	121	26	𝑎5=2.0	𝑎5=2.0	PROPN
cana-589	121	27	,	,	PUNCT
cana-589	121	28	𝑎6=1.0	𝑎6=1.0	PROPN
cana-589	121	29	,	,	PUNCT
cana-589	121	30	𝑎=2.0	𝑎=2.0	PROPN
cana-589	121	31	,	,	PUNCT
cana-589	121	32	𝑏=1.0	𝑏=1.0	PROPN
cana-589	121	33	)	)	PUNCT
cana-589	121	34	fig	fig	NOUN
cana-589	121	35	2	2	NUM
cana-589	121	36	.	.	PUNCT
cana-589	121	37	plot	plot	NOUN
cana-589	121	38	of	of	ADP
cana-589	121	39	velocity	velocity	NOUN
cana-589	121	40	vector	vector	NOUN
cana-589	121	41	field	field	NOUN
cana-589	121	42	for	for	ADP
cana-589	121	43	water	water	NOUN
cana-589	121	44	(	(	PUNCT
cana-589	121	45	𝑎1=2.0	𝑎1=2.0	PROPN
cana-589	121	46	,	,	PUNCT
cana-589	121	47	𝑎2=2.0	𝑎2=2.0	PROPN
cana-589	121	48	,	,	PUNCT
cana-589	121	49	𝑎3=1.0	𝑎3=1.0	PROPN
cana-589	121	50	,	,	PUNCT
cana-589	121	51	𝑎4=2.0	𝑎4=2.0	PROPN
cana-589	121	52	,	,	PUNCT
cana-589	121	53	𝑎5=2.0	𝑎5=2.0	PROPN
cana-589	121	54	,	,	PUNCT
cana-589	121	55	𝑎6=1.0	𝑎6=1.0	PROPN
cana-589	121	56	,	,	PUNCT
cana-589	121	57	𝑎=2.0	𝑎=2.0	PROPN
cana-589	121	58	,	,	PUNCT
cana-589	121	59	𝑏=1.0	𝑏=1.0	NOUN
cana-589	121	60	)	)	PUNCT
cana-589	121	61	communications	communication	NOUN
cana-589	121	62	on	on	ADP
cana-589	121	63	applied	apply	VERB
cana-589	121	64	nonlinear	nonlinear	ADJ
cana-589	121	65	analysis	analysis	NOUN
cana-589	121	66	issn	issn	NOUN
cana-589	121	67	:	:	PUNCT
cana-589	121	68	1074	1074	NUM
cana-589	121	69	-	-	PUNCT
cana-589	121	70	133x	133x	NUM
cana-589	121	71	vol	vol	NOUN
cana-589	121	72	31	31	NUM
cana-589	121	73	no	no	NOUN
cana-589	121	74	.	.	PUNCT
cana-589	122	1	2s	2s	NUM
cana-589	122	2	(	(	PUNCT
cana-589	122	3	2024	2024	NUM
cana-589	122	4	)	)	PUNCT
cana-589	122	5	22	22	NUM
cana-589	122	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-589	122	7	fig	fig	NOUN
cana-589	122	8	3	3	NUM
cana-589	122	9	.	.	PUNCT
cana-589	122	10	plot	plot	NOUN
cana-589	122	11	of	of	ADP
cana-589	122	12	velocity	velocity	NOUN
cana-589	122	13	vector	vector	NOUN
cana-589	122	14	field	field	NOUN
cana-589	122	15	for	for	ADP
cana-589	122	16	carbondioxide	carbondioxide	NOUN
cana-589	122	17	(	(	PUNCT
cana-589	122	18	𝑎1=2.0	𝑎1=2.0	PROPN
cana-589	122	19	,	,	PUNCT
cana-589	122	20	𝑎2=2.0	𝑎2=2.0	PROPN
cana-589	122	21	,	,	PUNCT
cana-589	122	22	𝑎3=1.0	𝑎3=1.0	PROPN
cana-589	122	23	,	,	PUNCT
cana-589	122	24	𝑎4=2.0	𝑎4=2.0	PROPN
cana-589	122	25	,	,	PUNCT
cana-589	122	26	𝑎5=2.0	𝑎5=2.0	PROPN
cana-589	122	27	,	,	PUNCT
cana-589	122	28	𝑎6=1.0	𝑎6=1.0	PROPN
cana-589	122	29	,	,	PUNCT
cana-589	122	30	𝑎=2.0	𝑎=2.0	PROPN
cana-589	122	31	,	,	PUNCT
cana-589	122	32	𝑏=1.0	𝑏=1.0	PROPN
cana-589	122	33	)	)	PUNCT
cana-589	122	34	fig	fig	NOUN
cana-589	122	35	4	4	NUM
cana-589	122	36	.	.	PUNCT
cana-589	123	1	plot	plot	NOUN
cana-589	123	2	of	of	ADP
cana-589	123	3	velocity	velocity	NOUN
cana-589	123	4	vector	vector	NOUN
cana-589	123	5	field	field	NOUN
cana-589	123	6	for	for	ADP
cana-589	123	7	mercury	mercury	NOUN
cana-589	123	8	(	(	PUNCT
cana-589	123	9	𝑎1=2.0	𝑎1=2.0	PROPN
cana-589	123	10	,	,	PUNCT
cana-589	123	11	𝑎2=2.0	𝑎2=2.0	PROPN
cana-589	123	12	,	,	PUNCT
cana-589	123	13	𝑎3=1.0	𝑎3=1.0	PROPN
cana-589	123	14	,	,	PUNCT
cana-589	123	15	𝑎4=2.0	𝑎4=2.0	PROPN
cana-589	123	16	,	,	PUNCT
cana-589	123	17	𝑎5=2.0	𝑎5=2.0	PROPN
cana-589	123	18	,	,	PUNCT
cana-589	123	19	𝑎6=1.0	𝑎6=1.0	PROPN
cana-589	123	20	,	,	PUNCT
cana-589	123	21	𝑎=2.0	𝑎=2.0	PROPN
cana-589	123	22	,	,	PUNCT
cana-589	123	23	𝑏=1.0	𝑏=1.0	PROPN
cana-589	123	24	)	)	PUNCT
cana-589	123	25	for	for	ADP
cana-589	123	26	conservation	conservation	NOUN
cana-589	123	27	of	of	ADP
cana-589	123	28	vorticity	vorticity	NOUN
cana-589	123	29	,	,	PUNCT
cana-589	123	30	equation	equation	NOUN
cana-589	123	31	(	(	PUNCT
cana-589	123	32	3.1	3.1	NUM
cana-589	123	33	)	)	PUNCT
cana-589	123	34	must	must	AUX
cana-589	123	35	satisfy	satisfy	VERB
cana-589	123	36	equation	equation	NOUN
cana-589	123	37	(	(	PUNCT
cana-589	123	38	1.6	1.6	NUM
cana-589	123	39	)	)	PUNCT
cana-589	123	40	.	.	PUNCT
cana-589	124	1	equation	equation	NOUN
cana-589	124	2	(	(	PUNCT
cana-589	124	3	1.3	1.3	NUM
cana-589	124	4	)	)	PUNCT
cana-589	124	5	can	can	AUX
cana-589	124	6	be	be	AUX
cana-589	124	7	solved	solve	VERB
cana-589	124	8	by	by	ADP
cana-589	124	9	modifying	modify	VERB
cana-589	124	10	the	the	DET
cana-589	124	11	velocity	velocity	NOUN
cana-589	124	12	field	field	NOUN
cana-589	124	13	along	along	ADP
cana-589	124	14	with	with	ADP
cana-589	124	15	the	the	DET
cana-589	124	16	vorticity	vorticity	NOUN
cana-589	124	17	field	field	NOUN
cana-589	124	18	to	to	PART
cana-589	124	19	get	get	VERB
cana-589	124	20	3𝑎2𝜗	3𝑎2𝜗	PRON
cana-589	124	21	+	+	CCONJ
cana-589	124	22	𝜆	𝜆	X
cana-589	124	23	=	=	SYM
cana-589	124	24	0	0	NUM
cana-589	124	25	(	(	PUNCT
cana-589	124	26	3.3	3.3	NUM
cana-589	124	27	)	)	PUNCT
cana-589	124	28	⟹	⟹	PUNCT
cana-589	125	1	𝜆	𝜆	NOUN
cana-589	125	2	=	=	PUNCT
cana-589	125	3	−3𝑎2𝜗	−3𝑎2𝜗	ADJ
cana-589	125	4	thus	thus	ADV
cana-589	125	5	,	,	PUNCT
cana-589	125	6	we	we	PRON
cana-589	125	7	can	can	AUX
cana-589	125	8	conclude	conclude	VERB
cana-589	125	9	that	that	SCONJ
cana-589	125	10	the	the	DET
cana-589	125	11	vorticity	vorticity	NOUN
cana-589	125	12	field	field	NOUN
cana-589	125	13	's	's	PART
cana-589	125	14	topology	topology	NOUN
cana-589	125	15	is	be	AUX
cana-589	125	16	conserved	conserve	VERB
cana-589	125	17	.	.	PUNCT
cana-589	126	1	therefore	therefore	ADV
cana-589	126	2	,	,	PUNCT
cana-589	126	3	the	the	DET
cana-589	126	4	exact	exact	ADJ
cana-589	126	5	solution	solution	NOUN
cana-589	126	6	for	for	ADP
cana-589	126	7	incompressible	incompressible	ADJ
cana-589	126	8	viscous	viscous	ADJ
cana-589	126	9	fluid	fluid	NOUN
cana-589	126	10	flow	flow	NOUN
cana-589	126	11	is	be	AUX
cana-589	126	12	given	give	VERB
cana-589	126	13	by	by	ADP
cana-589	126	14	equation	equation	NOUN
cana-589	126	15	(	(	PUNCT
cana-589	126	16	3.1	3.1	NUM
cana-589	126	17	)	)	PUNCT
cana-589	126	18	,	,	PUNCT
cana-589	126	19	and	and	CCONJ
cana-589	126	20	the	the	DET
cana-589	126	21	corresponding	corresponding	ADJ
cana-589	126	22	vorticity	vorticity	NOUN
cana-589	126	23	field	field	NOUN
cana-589	126	24	is	be	AUX
cana-589	126	25	topology	topology	NOUN
cana-589	126	26	conserving	conserving	NOUN
cana-589	126	27	.	.	PUNCT
cana-589	127	1	3.2	3.2	NUM
cana-589	127	2	second	second	ADJ
cana-589	127	3	solution	solution	NOUN
cana-589	127	4	another	another	DET
cana-589	127	5	solution	solution	NOUN
cana-589	127	6	to	to	ADP
cana-589	127	7	the	the	DET
cana-589	127	8	nonlinear	nonlinear	ADJ
cana-589	127	9	equation	equation	NOUN
cana-589	127	10	(	(	PUNCT
cana-589	127	11	2.4	2.4	NUM
cana-589	127	12	)	)	PUNCT
cana-589	127	13	system	system	NOUN
cana-589	127	14	can	can	AUX
cana-589	127	15	be	be	AUX
cana-589	127	16	given	give	VERB
cana-589	127	17	by	by	ADP
cana-589	127	18	𝐴	𝐴	PROPN
cana-589	127	19	=	=	SYM
cana-589	127	20	𝑎2	𝑎2	PROPN
cana-589	127	21	+	+	CCONJ
cana-589	127	22	2𝑏2	2𝑏2	NUM
cana-589	127	23	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-589	127	24	𝑎1	𝑎1	NOUN
cana-589	127	25	=	=	SYM
cana-589	127	26	𝑎2	𝑎2	NOUN
cana-589	127	27	=	=	SYM
cana-589	127	28	𝑎3	𝑎3	PROPN
cana-589	127	29	=	=	SYM
cana-589	127	30	𝑎4	𝑎4	PROPN
cana-589	127	31	=	=	SYM
cana-589	127	32	0	0	NUM
cana-589	127	33	(	(	PUNCT
cana-589	127	34	4.1	4.1	NUM
cana-589	127	35	)	)	PUNCT
cana-589	127	36	this	this	DET
cana-589	127	37	solution	solution	NOUN
cana-589	127	38	yields	yield	VERB
cana-589	127	39	an	an	DET
cana-589	127	40	exact	exact	ADJ
cana-589	127	41	solution	solution	NOUN
cana-589	127	42	to	to	ADP
cana-589	127	43	the	the	DET
cana-589	127	44	navier	navier	NOUN
cana-589	127	45	-	-	PUNCT
cana-589	127	46	stokes	stoke	NOUN
cana-589	127	47	equation	equation	NOUN
cana-589	127	48	that	that	PRON
cana-589	127	49	satisfies	satisfy	VERB
cana-589	127	50	equations	equation	NOUN
cana-589	127	51	(	(	PUNCT
cana-589	127	52	1.4	1.4	NUM
cana-589	127	53	)	)	PUNCT
cana-589	127	54	and	and	CCONJ
cana-589	127	55	(	(	PUNCT
cana-589	127	56	1.7	1.7	NUM
cana-589	127	57	)	)	PUNCT
cana-589	127	58	.	.	PUNCT
cana-589	128	1	it	it	PRON
cana-589	128	2	is	be	AUX
cana-589	128	3	given	give	VERB
cana-589	128	4	by	by	ADP
cana-589	128	5	𝑢	𝑢	NOUN
cana-589	128	6	=	=	NOUN
cana-589	128	7	𝑏𝑒−(𝑎2	𝑏𝑒−(𝑎2	NOUN
cana-589	128	8	+	+	NOUN
cana-589	128	9	2𝑏2)𝜈𝑡	2𝑏2)𝜈𝑡	NUM
cana-589	128	10	(	(	PUNCT
cana-589	128	11	𝑎5	𝑎5	NOUN
cana-589	128	12	cos(𝑏(𝑥	cos(𝑏(𝑥	NOUN
cana-589	128	13	+	+	CCONJ
cana-589	128	14	𝑦	𝑦	NOUN
cana-589	128	15	)	)	PUNCT
cana-589	128	16	−	−	PROPN
cana-589	129	1	𝑎𝑧	𝑎𝑧	PROPN
cana-589	129	2	)	)	PUNCT
cana-589	129	3	−	−	PROPN
cana-589	129	4	𝑎6sin	𝑎6sin	NOUN
cana-589	129	5	(	(	PUNCT
cana-589	129	6	𝑏(𝑥	𝑏(𝑥	NOUN
cana-589	129	7	+	+	NOUN
cana-589	129	8	𝑦	𝑦	NOUN
cana-589	129	9	)	)	PUNCT
cana-589	129	10	−	−	PROPN
cana-589	130	1	𝑎𝑧	𝑎𝑧	PROPN
cana-589	130	2	)	)	PUNCT
cana-589	130	3	,	,	PUNCT
cana-589	130	4	𝑎6	𝑎6	NOUN
cana-589	130	5	sin(𝑏(𝑥	sin(𝑏(𝑥	NOUN
cana-589	130	6	+	+	CCONJ
cana-589	130	7	𝑦	𝑦	NOUN
cana-589	130	8	)	)	PUNCT
cana-589	131	1	−	−	ADP
cana-589	131	2	𝑎𝑧	𝑎𝑧	PROPN
cana-589	131	3	)	)	PUNCT
cana-589	131	4	−	−	PROPN
cana-589	131	5	𝑎5	𝑎5	PROPN
cana-589	131	6	cos(𝑏(𝑥	cos(𝑏(𝑥	NOUN
cana-589	131	7	+	+	CCONJ
cana-589	131	8	𝑦	𝑦	NOUN
cana-589	131	9	)	)	PUNCT
cana-589	131	10	−	−	PROPN
cana-589	132	1	𝑎𝑧	𝑎𝑧	PROPN
cana-589	132	2	)	)	PUNCT
cana-589	132	3	,	,	PUNCT
cana-589	132	4	0	0	NUM
cana-589	132	5	)	)	PUNCT
cana-589	132	6	(	(	PUNCT
cana-589	132	7	4.2	4.2	NUM
cana-589	132	8	)	)	PUNCT
cana-589	132	9	velocity	velocity	NOUN
cana-589	132	10	vector	vector	NOUN
cana-589	132	11	for	for	ADP
cana-589	132	12	second	second	ADJ
cana-589	132	13	family	family	NOUN
cana-589	132	14	of	of	ADP
cana-589	132	15	solution	solution	NOUN
cana-589	132	16	is	be	AUX
cana-589	132	17	expressed	express	VERB
cana-589	132	18	through	through	ADP
cana-589	132	19	figures	figure	NOUN
cana-589	132	20	(	(	PUNCT
cana-589	132	21	5	5	NUM
cana-589	132	22	-	-	SYM
cana-589	132	23	8)	8)	NUM
cana-589	132	24	communications	communication	NOUN
cana-589	132	25	on	on	ADP
cana-589	132	26	applied	apply	VERB
cana-589	132	27	nonlinear	nonlinear	ADJ
cana-589	132	28	analysis	analysis	NOUN
cana-589	132	29	issn	issn	NOUN
cana-589	132	30	:	:	PUNCT
cana-589	132	31	1074	1074	NUM
cana-589	132	32	-	-	PUNCT
cana-589	132	33	133x	133x	NUM
cana-589	132	34	vol	vol	NOUN
cana-589	132	35	31	31	NUM
cana-589	132	36	no	no	NOUN
cana-589	132	37	.	.	PUNCT
cana-589	133	1	2s	2s	NUM
cana-589	133	2	(	(	PUNCT
cana-589	133	3	2024	2024	NUM
cana-589	133	4	)	)	PUNCT
cana-589	133	5	23	23	NUM
cana-589	133	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-589	133	7	fig	fig	NOUN
cana-589	133	8	5	5	NUM
cana-589	133	9	.	.	PUNCT
cana-589	133	10	plot	plot	NOUN
cana-589	133	11	of	of	ADP
cana-589	133	12	velocity	velocity	NOUN
cana-589	133	13	vector	vector	NOUN
cana-589	133	14	field	field	NOUN
cana-589	133	15	for	for	ADP
cana-589	133	16	air	air	NOUN
cana-589	133	17	𝑎5=2.0	𝑎5=2.0	PROPN
cana-589	133	18	,	,	PUNCT
cana-589	133	19	𝑎6=1.0	𝑎6=1.0	PROPN
cana-589	133	20	,	,	PUNCT
cana-589	133	21	𝑎=2.0	𝑎=2.0	PROPN
cana-589	133	22	,	,	PUNCT
cana-589	133	23	𝑏=1.0	𝑏=1.0	PROPN
cana-589	133	24	)	)	PUNCT
cana-589	133	25	fig	fig	NOUN
cana-589	133	26	6	6	NUM
cana-589	133	27	.	.	PUNCT
cana-589	134	1	plot	plot	NOUN
cana-589	134	2	of	of	ADP
cana-589	134	3	velocity	velocity	NOUN
cana-589	134	4	vector	vector	NOUN
cana-589	134	5	field	field	NOUN
cana-589	134	6	for	for	ADP
cana-589	134	7	water	water	NOUN
cana-589	134	8	(	(	PUNCT
cana-589	134	9	𝑎5=2.0	𝑎5=2.0	PROPN
cana-589	134	10	,	,	PUNCT
cana-589	134	11	𝑎6=1.0	𝑎6=1.0	PROPN
cana-589	134	12	,	,	PUNCT
cana-589	134	13	𝑎=2.0	𝑎=2.0	PROPN
cana-589	134	14	,	,	PUNCT
cana-589	134	15	𝑏=1.0	𝑏=1.0	PROPN
cana-589	134	16	)	)	PUNCT
cana-589	134	17	fig	fig	NOUN
cana-589	134	18	7	7	NUM
cana-589	134	19	.	.	PUNCT
cana-589	134	20	plot	plot	NOUN
cana-589	134	21	of	of	ADP
cana-589	134	22	velocity	velocity	NOUN
cana-589	134	23	vector	vector	NOUN
cana-589	134	24	field	field	NOUN
cana-589	134	25	for	for	ADP
cana-589	134	26	carbondioxide	carbondioxide	NOUN
cana-589	134	27	(	(	PUNCT
cana-589	134	28	𝑎5=2.0	𝑎5=2.0	PROPN
cana-589	134	29	,	,	PUNCT
cana-589	134	30	𝑎6=1.0	𝑎6=1.0	PROPN
cana-589	134	31	,	,	PUNCT
cana-589	134	32	𝑎=2.0	𝑎=2.0	PROPN
cana-589	134	33	,	,	PUNCT
cana-589	134	34	𝑏=1.0	𝑏=1.0	NOUN
cana-589	134	35	)	)	PUNCT
cana-589	134	36	communications	communication	NOUN
cana-589	134	37	on	on	ADP
cana-589	134	38	applied	apply	VERB
cana-589	134	39	nonlinear	nonlinear	ADJ
cana-589	134	40	analysis	analysis	NOUN
cana-589	134	41	issn	issn	NOUN
cana-589	134	42	:	:	PUNCT
cana-589	134	43	1074	1074	NUM
cana-589	134	44	-	-	PUNCT
cana-589	134	45	133x	133x	NUM
cana-589	134	46	vol	vol	NOUN
cana-589	134	47	31	31	NUM
cana-589	134	48	no	no	NOUN
cana-589	134	49	.	.	PUNCT
cana-589	135	1	2s	2s	NUM
cana-589	135	2	(	(	PUNCT
cana-589	135	3	2024	2024	NUM
cana-589	135	4	)	)	PUNCT
cana-589	135	5	24	24	NUM
cana-589	135	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-589	135	7	fig	fig	NOUN
cana-589	135	8	8	8	NUM
cana-589	135	9	.	.	PUNCT
cana-589	136	1	plot	plot	NOUN
cana-589	136	2	of	of	ADP
cana-589	136	3	velocity	velocity	NOUN
cana-589	136	4	vector	vector	NOUN
cana-589	136	5	field	field	NOUN
cana-589	136	6	for	for	ADP
cana-589	136	7	mercury	mercury	NOUN
cana-589	136	8	(	(	PUNCT
cana-589	136	9	𝑎5=2.0	𝑎5=2.0	PROPN
cana-589	136	10	,	,	PUNCT
cana-589	136	11	𝑎6=1.0	𝑎6=1.0	PROPN
cana-589	136	12	,	,	PUNCT
cana-589	136	13	𝑎=2.0	𝑎=2.0	PROPN
cana-589	136	14	,	,	PUNCT
cana-589	136	15	𝑏=1.0	𝑏=1.0	NOUN
cana-589	136	16	)	)	PUNCT
cana-589	136	17	corresponding	correspond	VERB
cana-589	136	18	vorticity	vorticity	NOUN
cana-589	136	19	vector	vector	NOUN
cana-589	136	20	is	be	AUX
cana-589	136	21	𝑤	𝑤	ADP
cana-589	136	22	=	=	PUNCT
cana-589	136	23	𝑏𝑒	𝑏𝑒	NOUN
cana-589	136	24	−(𝑎2	−(𝑎2	SYM
cana-589	136	25	+	+	NOUN
cana-589	136	26	2𝑏	2𝑏	NUM
cana-589	136	27	2	2	NUM
cana-589	136	28	)	)	PUNCT
cana-589	136	29	𝜈𝑡	𝜈𝑡	NOUN
cana-589	136	30	(	(	PUNCT
cana-589	136	31	𝑎𝑎5	𝑎𝑎5	NOUN
cana-589	136	32	sin(𝑏(𝑥	sin(𝑏(𝑥	NOUN
cana-589	136	33	+	+	CCONJ
cana-589	136	34	𝑦	𝑦	NOUN
cana-589	136	35	)	)	PUNCT
cana-589	136	36	−	−	PROPN
cana-589	136	37	𝑎𝑧	𝑎𝑧	PROPN
cana-589	136	38	)	)	PUNCT
cana-589	136	39	+	+	NUM
cana-589	136	40	𝑎𝑎6	𝑎𝑎6	NOUN
cana-589	136	41	cos(𝑏(𝑥	cos(𝑏(𝑥	NOUN
cana-589	136	42	+	+	CCONJ
cana-589	136	43	𝑦	𝑦	NOUN
cana-589	136	44	)	)	PUNCT
cana-589	136	45	−	−	PROPN
cana-589	137	1	𝑎𝑧	𝑎𝑧	PROPN
cana-589	137	2	)	)	PUNCT
cana-589	137	3	,	,	PUNCT
cana-589	137	4	𝑎𝑎5	𝑎𝑎5	NOUN
cana-589	137	5	sin(𝑏(𝑥	sin(𝑏(𝑥	NOUN
cana-589	137	6	+	+	CCONJ
cana-589	137	7	𝑦	𝑦	NOUN
cana-589	137	8	)	)	PUNCT
cana-589	137	9	−	−	PROPN
cana-589	138	1	𝑎𝑧	𝑎𝑧	PROPN
cana-589	138	2	)	)	PUNCT
cana-589	138	3	+	+	NUM
cana-589	138	4	𝑎𝑎6	𝑎𝑎6	NOUN
cana-589	138	5	cos(𝑏(𝑥	cos(𝑏(𝑥	NOUN
cana-589	138	6	+	+	CCONJ
cana-589	138	7	𝑦	𝑦	NOUN
cana-589	138	8	)	)	PUNCT
cana-589	139	1	−	−	PROPN
cana-589	140	1	𝑎𝑧	𝑎𝑧	PROPN
cana-589	140	2	)	)	PUNCT
cana-589	140	3	,	,	PUNCT
cana-589	140	4	2𝑏(𝑎5	2𝑏(𝑎5	NUM
cana-589	140	5	sin(𝑏(𝑥	sin(𝑏(𝑥	NOUN
cana-589	140	6	+	+	CCONJ
cana-589	140	7	𝑦	𝑦	NOUN
cana-589	140	8	)	)	PUNCT
cana-589	140	9	−	−	ADP
cana-589	141	1	𝑎𝑧	𝑎𝑧	PROPN
cana-589	141	2	)	)	PUNCT
cana-589	141	3	+	+	NUM
cana-589	141	4	𝑎6	𝑎6	NOUN
cana-589	141	5	cos(𝑏(𝑥	cos(𝑏(𝑥	NOUN
cana-589	141	6	+	+	CCONJ
cana-589	141	7	𝑦	𝑦	NOUN
cana-589	141	8	)	)	PUNCT
cana-589	141	9	−	−	PROPN
cana-589	141	10	𝑎𝑧	𝑎𝑧	PROPN
cana-589	141	11	)	)	PUNCT
cana-589	141	12	)	)	PUNCT
cana-589	141	13	)	)	PUNCT
cana-589	142	1	(	(	PUNCT
cana-589	142	2	4.3	4.3	NUM
cana-589	142	3	)	)	PUNCT
cana-589	142	4	equation	equation	NOUN
cana-589	142	5	(	(	PUNCT
cana-589	142	6	1.3	1.3	NUM
cana-589	142	7	)	)	PUNCT
cana-589	142	8	must	must	AUX
cana-589	142	9	be	be	AUX
cana-589	142	10	fulfilled	fulfil	VERB
cana-589	142	11	by	by	ADP
cana-589	142	12	the	the	DET
cana-589	142	13	flow	flow	NOUN
cana-589	142	14	to	to	PART
cana-589	142	15	preserve	preserve	VERB
cana-589	142	16	vorticity	vorticity	NOUN
cana-589	142	17	.	.	PUNCT
cana-589	143	1	equation	equation	NOUN
cana-589	143	2	(	(	PUNCT
cana-589	143	3	1.3	1.3	NUM
cana-589	143	4	)	)	PUNCT
cana-589	143	5	will	will	AUX
cana-589	143	6	be	be	AUX
cana-589	143	7	satisfied	satisfied	ADJ
cana-589	143	8	if	if	SCONJ
cana-589	143	9	the	the	DET
cana-589	143	10	velocity	velocity	NOUN
cana-589	143	11	field	field	NOUN
cana-589	143	12	and	and	CCONJ
cana-589	143	13	vorticity	vorticity	NOUN
cana-589	143	14	field	field	NOUN
cana-589	143	15	are	be	AUX
cana-589	143	16	substituted	substitute	VERB
cana-589	143	17	when	when	SCONJ
cana-589	143	18	𝜆	𝜆	ADP
cana-589	143	19	=	=	SYM
cana-589	143	20	−(𝑎2	−(𝑎2	X
cana-589	143	21	+	+	X
cana-589	143	22	2𝑏2)𝜈	2𝑏2)𝜈	NUM
cana-589	143	23	(	(	PUNCT
cana-589	143	24	4.4	4.4	NUM
cana-589	143	25	)	)	PUNCT
cana-589	143	26	therefore	therefore	ADV
cana-589	143	27	,	,	PUNCT
cana-589	143	28	we	we	PRON
cana-589	143	29	can	can	AUX
cana-589	143	30	conclude	conclude	VERB
cana-589	143	31	that	that	SCONJ
cana-589	143	32	the	the	DET
cana-589	143	33	vorticity	vorticity	NOUN
cana-589	143	34	field	field	NOUN
cana-589	143	35	's	's	PART
cana-589	143	36	topology	topology	NOUN
cana-589	143	37	is	be	AUX
cana-589	143	38	conserved	conserve	VERB
cana-589	143	39	.	.	PUNCT
cana-589	144	1	for	for	ADP
cana-589	144	2	the	the	DET
cana-589	144	3	viscous	viscous	ADJ
cana-589	144	4	incompressible	incompressible	ADJ
cana-589	144	5	navier	navier	NOUN
cana-589	144	6	-	-	PUNCT
cana-589	144	7	stokes	stoke	NOUN
cana-589	144	8	equation	equation	NOUN
cana-589	144	9	,	,	PUNCT
cana-589	144	10	for	for	ADP
cana-589	144	11	which	which	PRON
cana-589	144	12	the	the	DET
cana-589	144	13	vorticity	vorticity	NOUN
cana-589	144	14	field	field	NOUN
cana-589	144	15	is	be	AUX
cana-589	144	16	topology	topology	NOUN
cana-589	144	17	preserved	preserve	VERB
cana-589	144	18	,	,	PUNCT
cana-589	144	19	we	we	PRON
cana-589	144	20	have	have	AUX
cana-589	144	21	identified	identify	VERB
cana-589	144	22	the	the	DET
cana-589	144	23	second	second	ADJ
cana-589	144	24	family	family	NOUN
cana-589	144	25	of	of	ADP
cana-589	144	26	exact	exact	ADJ
cana-589	144	27	solutions	solution	NOUN
cana-589	144	28	.	.	PUNCT
cana-589	145	1	4.conclusion	4.conclusion	NUM
cana-589	145	2	over	over	ADP
cana-589	145	3	the	the	DET
cana-589	145	4	last	last	ADJ
cana-589	145	5	two	two	NUM
cana-589	145	6	decades	decade	NOUN
cana-589	145	7	,	,	PUNCT
cana-589	145	8	there	there	PRON
cana-589	145	9	has	have	AUX
cana-589	145	10	been	be	AUX
cana-589	145	11	a	a	DET
cana-589	145	12	revival	revival	NOUN
cana-589	145	13	of	of	ADP
cana-589	145	14	interest	interest	NOUN
cana-589	145	15	in	in	ADP
cana-589	145	16	applying	apply	VERB
cana-589	145	17	topological	topological	ADJ
cana-589	145	18	ideas	idea	NOUN
cana-589	145	19	in	in	ADP
cana-589	145	20	classical	classical	ADJ
cana-589	145	21	fluid	fluid	ADJ
cana-589	145	22	mechanics	mechanic	NOUN
cana-589	145	23	,	,	PUNCT
cana-589	145	24	which	which	PRON
cana-589	145	25	has	have	AUX
cana-589	145	26	given	give	VERB
cana-589	145	27	rise	rise	NOUN
cana-589	145	28	to	to	ADP
cana-589	145	29	a	a	DET
cana-589	145	30	novel	novel	ADJ
cana-589	145	31	branch	branch	NOUN
cana-589	145	32	of	of	ADP
cana-589	145	33	research	research	NOUN
cana-589	145	34	termed	term	VERB
cana-589	145	35	topological	topological	ADJ
cana-589	145	36	fluid	fluid	ADJ
cana-589	145	37	mechanics	mechanic	NOUN
cana-589	145	38	.	.	PUNCT
cana-589	146	1	the	the	DET
cana-589	146	2	aim	aim	NOUN
cana-589	146	3	of	of	ADP
cana-589	146	4	this	this	DET
cana-589	146	5	article	article	NOUN
cana-589	146	6	is	be	AUX
cana-589	146	7	to	to	PART
cana-589	146	8	find	find	VERB
cana-589	146	9	the	the	DET
cana-589	146	10	specific	specific	ADJ
cana-589	146	11	solutions	solution	NOUN
cana-589	146	12	for	for	ADP
cana-589	146	13	the	the	DET
cana-589	146	14	topological	topological	ADJ
cana-589	146	15	conservation	conservation	NOUN
cana-589	146	16	and	and	CCONJ
cana-589	146	17	navier	navier	NOUN
cana-589	146	18	-	-	PUNCT
cana-589	146	19	stokes	stoke	NOUN
cana-589	146	20	equation	equation	NOUN
cana-589	146	21	.	.	PUNCT
cana-589	147	1	we	we	PRON
cana-589	147	2	found	find	VERB
cana-589	147	3	the	the	DET
cana-589	147	4	exact	exact	ADJ
cana-589	147	5	solutions	solution	NOUN
cana-589	147	6	for	for	ADP
cana-589	147	7	two	two	NUM
cana-589	147	8	different	different	ADJ
cana-589	147	9	families	family	NOUN
cana-589	147	10	of	of	ADP
cana-589	147	11	incompressible	incompressible	ADJ
cana-589	147	12	viscous	viscous	ADJ
cana-589	147	13	flows	flow	NOUN
cana-589	147	14	.	.	PUNCT
cana-589	148	1	the	the	DET
cana-589	148	2	vorticity	vorticity	NOUN
cana-589	148	3	vector	vector	NOUN
cana-589	148	4	potential	potential	ADJ
cana-589	148	5	ansatz	ansatz	ADJ
cana-589	148	6	approach	approach	NOUN
cana-589	148	7	is	be	AUX
cana-589	148	8	used	use	VERB
cana-589	148	9	to	to	PART
cana-589	148	10	obtain	obtain	VERB
cana-589	148	11	the	the	DET
cana-589	148	12	precise	precise	ADJ
cana-589	148	13	answer	answer	NOUN
cana-589	148	14	.	.	PUNCT
cana-589	149	1	graphs	graph	NOUN
cana-589	149	2	are	be	AUX
cana-589	149	3	utilized	utilize	VERB
cana-589	149	4	to	to	PART
cana-589	149	5	demonstrate	demonstrate	VERB
cana-589	149	6	the	the	DET
cana-589	149	7	velocity	velocity	NOUN
cana-589	149	8	field	field	NOUN
cana-589	149	9	.	.	PUNCT
cana-589	150	1	references	reference	NOUN
cana-589	150	2	[	[	X
cana-589	150	3	1	1	NUM
cana-589	150	4	]	]	PUNCT
cana-589	150	5	subin	subin	PROPN
cana-589	150	6	p	p	PROPN
cana-589	150	7	joseph	joseph	PROPN
cana-589	150	8	,	,	PUNCT
cana-589	150	9	three	three	NUM
cana-589	150	10	dimensional	dimensional	ADJ
cana-589	150	11	exact	exact	ADJ
cana-589	150	12	solutions	solution	NOUN
cana-589	150	13	for	for	ADP
cana-589	150	14	steady	steady	ADJ
cana-589	150	15	state	state	NOUN
cana-589	150	16	generalized	generalize	VERB
cana-589	150	17	beltrami	beltrami	ADJ
cana-589	150	18	flows	flow	NOUN
cana-589	150	19	,	,	PUNCT
cana-589	150	20	proceedings	proceeding	NOUN
cana-589	150	21	of	of	ADP
cana-589	150	22	the	the	DET
cana-589	150	23	48th	48th	ADJ
cana-589	150	24	national	national	ADJ
cana-589	150	25	conference	conference	NOUN
cana-589	150	26	on	on	ADP
cana-589	150	27	fluid	fluid	ADJ
cana-589	150	28	mechanics	mechanic	NOUN
cana-589	150	29	and	and	CCONJ
cana-589	150	30	fluid	fluid	ADJ
cana-589	150	31	power	power	NOUN
cana-589	150	32	(	(	PUNCT
cana-589	150	33	fmfp	fmfp	NOUN
cana-589	150	34	)	)	PUNCT
cana-589	150	35	december	december	PROPN
cana-589	150	36	27	27	NUM
cana-589	150	37	-	-	SYM
cana-589	150	38	29	29	NUM
cana-589	150	39	,	,	PUNCT
cana-589	150	40	2021	2021	NUM
cana-589	150	41	,	,	PUNCT
cana-589	150	42	bits	bit	NOUN
cana-589	150	43	pilani	pilani	NOUN
cana-589	150	44	,	,	PUNCT
cana-589	150	45	pilani	pilani	PROPN
cana-589	150	46	campus	campus	PROPN
cana-589	150	47	,	,	PUNCT
cana-589	150	48	rj	rj	PROPN
cana-589	150	49	,	,	PUNCT
cana-589	150	50	india	india	PROPN
cana-589	150	51	.	.	PUNCT
cana-589	151	1	[	[	X
cana-589	151	2	2	2	X
cana-589	151	3	]	]	X
cana-589	151	4	farazmand	farazmand	NOUN
cana-589	151	5	m	m	PROPN
cana-589	151	6	,	,	PUNCT
cana-589	151	7	an	an	DET
cana-589	151	8	adjoint	adjoint	NOUN
cana-589	151	9	-	-	PUNCT
cana-589	151	10	based	base	VERB
cana-589	151	11	approach	approach	NOUN
cana-589	151	12	for	for	ADP
cana-589	151	13	finding	find	VERB
cana-589	151	14	invariant	invariant	ADJ
cana-589	151	15	solutions	solution	NOUN
cana-589	151	16	of	of	ADP
cana-589	151	17	navier	navier	NOUN
cana-589	151	18	stokes	stokes	PROPN
cana-589	151	19	equations	equations	PROPN
cana-589	151	20	,	,	PUNCT
cana-589	151	21	journal	journal	NOUN
cana-589	151	22	of	of	ADP
cana-589	151	23	fluid	fluid	ADJ
cana-589	151	24	mechanics	mechanic	NOUN
cana-589	151	25	,	,	PUNCT
cana-589	151	26	795	795	NUM
cana-589	151	27	,	,	PUNCT
cana-589	151	28	2016	2016	NUM
cana-589	151	29	,	,	PUNCT
cana-589	151	30	278	278	NUM
cana-589	151	31	–	–	PUNCT
cana-589	151	32	312	312	NUM
cana-589	151	33	.	.	PUNCT
cana-589	152	1	[	[	X
cana-589	152	2	3	3	NUM
cana-589	152	3	]	]	X
cana-589	152	4	gui	gui	NOUN
cana-589	152	5	mu	mu	PROPN
cana-589	152	6	,	,	PUNCT
cana-589	152	7	jun	jun	PROPN
cana-589	152	8	liu	liu	PROPN
cana-589	152	9	,	,	PUNCT
cana-589	152	10	zhengdedai	zhengdedai	PROPN
cana-589	152	11	,	,	PUNCT
cana-589	152	12	xi	xi	PROPN
cana-589	152	13	liu	liu	PROPN
cana-589	152	14	,	,	PUNCT
cana-589	152	15	combined	combine	VERB
cana-589	152	16	exp	exp	NOUN
cana-589	152	17	-	-	PUNCT
cana-589	152	18	function	function	NOUN
cana-589	152	19	ansatz	ansatz	ADJ
cana-589	152	20	method	method	NOUN
cana-589	152	21	and	and	CCONJ
cana-589	152	22	applications	application	NOUN
cana-589	152	23	,	,	PUNCT
cana-589	152	24	abstract	abstract	ADJ
cana-589	152	25	and	and	CCONJ
cana-589	152	26	applied	apply	VERB
cana-589	152	27	analysis	analysis	NOUN
cana-589	152	28	volume	volume	NOUN
cana-589	152	29	2013	2013	NUM
cana-589	152	30	,	,	PUNCT
cana-589	152	31	article	article	NOUN
cana-589	152	32	i	i	PROPN
cana-589	152	33	d	d	PROPN
cana-589	152	34	234319	234319	NUM
cana-589	152	35	.	.	PUNCT
cana-589	153	1	[	[	X
cana-589	153	2	4	4	X
cana-589	153	3	]	]	X
cana-589	153	4	chang	chang	PROPN
cana-589	153	5	h	h	PROPN
cana-589	153	6	c	c	PROPN
cana-589	153	7	,	,	PUNCT
cana-589	153	8	karch	karch	NOUN
cana-589	153	9	a	a	NOUN
cana-589	153	10	and	and	CCONJ
cana-589	153	11	yarom	yarom	ADP
cana-589	153	12	a	a	PRON
cana-589	153	13	,	,	PUNCT
cana-589	153	14	an	an	DET
cana-589	153	15	ansatz	ansatz	NOUN
cana-589	153	16	for	for	ADP
cana-589	153	17	one	one	NUM
cana-589	153	18	dimensional	dimensional	ADJ
cana-589	153	19	steady	steady	ADJ
cana-589	153	20	state	state	NOUN
cana-589	153	21	configurations	configuration	NOUN
cana-589	153	22	,	,	PUNCT
cana-589	153	23	journal	journal	NOUN
cana-589	153	24	of	of	ADP
cana-589	153	25	statistical	statistical	ADJ
cana-589	153	26	mechanics	mechanic	NOUN
cana-589	153	27	:	:	PUNCT
cana-589	153	28	theory	theory	NOUN
cana-589	153	29	and	and	CCONJ
cana-589	153	30	experiment	experiment	NOUN
cana-589	153	31	,	,	PUNCT
cana-589	153	32	volume	volume	NOUN
cana-589	153	33	2014	2014	NUM
cana-589	153	34	,	,	PUNCT
cana-589	153	35	june	june	PROPN
cana-589	153	36	2014	2014	NUM
cana-589	153	37	https://iopscience.iop.org/journal/1742-5468	https://iopscience.iop.org/journal/1742-5468	PROPN
cana-589	153	38	https://iopscience.iop.org/journal/1742-5468	https://iopscience.iop.org/journal/1742-5468	PROPN
cana-589	153	39	https://iopscience.iop.org/volume/1742-5468/2014	https://iopscience.iop.org/volume/1742-5468/2014	NOUN
cana-589	153	40	https://iopscience.iop.org/issue/1742-5468/2014/6	https://iopscience.iop.org/issue/1742-5468/2014/6	NOUN
cana-589	153	41	communications	communication	NOUN
cana-589	153	42	on	on	ADP
cana-589	153	43	applied	apply	VERB
cana-589	153	44	nonlinear	nonlinear	ADJ
cana-589	153	45	analysis	analysis	NOUN
cana-589	153	46	issn	issn	NOUN
cana-589	153	47	:	:	PUNCT
cana-589	153	48	1074	1074	NUM
cana-589	153	49	-	-	PUNCT
cana-589	153	50	133x	133x	NUM
cana-589	153	51	vol	vol	NOUN
cana-589	153	52	31	31	NUM
cana-589	153	53	no	no	NOUN
cana-589	153	54	.	.	PUNCT
cana-589	154	1	2s	2s	NUM
cana-589	154	2	(	(	PUNCT
cana-589	154	3	2024	2024	NUM
cana-589	154	4	)	)	PUNCT
cana-589	154	5	25	25	NUM
cana-589	154	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-589	155	1	[	[	X
cana-589	155	2	5	5	NUM
cana-589	155	3	]	]	PUNCT
cana-589	155	4	yu	yu	PROPN
cana-589	155	5	chen	chen	PROPN
cana-589	155	6	,	,	PUNCT
cana-589	155	7	xilin	xilin	PROPN
cana-589	155	8	xie	xie	PROPN
cana-589	155	9	,	,	PUNCT
cana-589	155	10	vorticity	vorticity	NOUN
cana-589	155	11	vector	vector	NOUN
cana-589	155	12	-	-	PUNCT
cana-589	155	13	potential	potential	ADJ
cana-589	155	14	method	method	NOUN
cana-589	155	15	for	for	ADP
cana-589	155	16	3d	3d	PROPN
cana-589	155	17	viscous	viscous	ADJ
cana-589	155	18	incompressible	incompressible	ADJ
cana-589	155	19	flows	flow	NOUN
cana-589	155	20	in	in	ADP
cana-589	155	21	time	time	NOUN
cana-589	155	22	-	-	PUNCT
cana-589	155	23	dependent	dependent	ADJ
cana-589	155	24	curvilinear	curvilinear	NOUN
cana-589	155	25	coordinates	coordinate	NOUN
cana-589	155	26	,	,	PUNCT
cana-589	155	27	journal	journal	NOUN
cana-589	155	28	of	of	ADP
cana-589	155	29	computational	computational	ADJ
cana-589	155	30	physics	physics	NOUN
cana-589	155	31	,	,	PUNCT
cana-589	155	32	312	312	NUM
cana-589	155	33	,	,	PUNCT
cana-589	155	34	2016	2016	NUM
cana-589	155	35	,	,	PUNCT
cana-589	155	36	50	50	NUM
cana-589	155	37	-	-	SYM
cana-589	155	38	81	81	NUM
cana-589	155	39	.	.	PUNCT
cana-589	156	1	[	[	X
cana-589	156	2	6	6	NUM
cana-589	156	3	]	]	X
cana-589	156	4	bakker	bakker	NOUN
cana-589	156	5	p	p	PROPN
cana-589	156	6	g.	g.	PROPN
cana-589	156	7	,	,	PUNCT
cana-589	156	8	the	the	DET
cana-589	156	9	topological	topological	ADJ
cana-589	156	10	properties	property	NOUN
cana-589	156	11	of	of	ADP
cana-589	156	12	these	these	DET
cana-589	156	13	flows	flow	NOUN
cana-589	156	14	may	may	AUX
cana-589	156	15	be	be	AUX
cana-589	156	16	derived	derive	VERB
cana-589	156	17	from	from	ADP
cana-589	156	18	solutions	solution	NOUN
cana-589	156	19	of	of	ADP
cana-589	156	20	the	the	DET
cana-589	156	21	governing	govern	VERB
cana-589	156	22	differential	differential	NOUN
cana-589	156	23	equations	equation	NOUN
cana-589	156	24	,	,	PUNCT
cana-589	156	25	nonlinear	nonlinear	ADJ
cana-589	156	26	topics	topic	NOUN
cana-589	156	27	in	in	ADP
cana-589	156	28	the	the	DET
cana-589	156	29	mathematical	mathematical	ADJ
cana-589	156	30	sciences	science	NOUN
cana-589	156	31	,	,	PUNCT
cana-589	156	32	vol	vol	NOUN
cana-589	156	33	2	2	NUM
cana-589	156	34	,	,	PUNCT
cana-589	156	35	1991	1991	NUM
cana-589	156	36	.	.	PUNCT
cana-589	157	1	[	[	X
cana-589	157	2	7	7	X
cana-589	157	3	]	]	X
cana-589	157	4	suqiong	suqiong	PROPN
cana-589	157	5	xie	xie	PROPN
cana-589	157	6	,	,	PUNCT
cana-589	157	7	kentaro	kentaro	PROPN
cana-589	157	8	yaji	yaji	PROPN
cana-589	157	9	,	,	PUNCT
cana-589	157	10	toru	toru	PROPN
cana-589	157	11	takahashi	takahashi	PROPN
cana-589	157	12	,	,	PUNCT
cana-589	157	13	hiroshi	hiroshi	PROPN
cana-589	157	14	isakari	isakari	PROPN
cana-589	157	15	,	,	PUNCT
cana-589	157	16	masato	masato	PROPN
cana-589	157	17	yoshino	yoshino	PROPN
cana-589	157	18	,	,	PUNCT
cana-589	157	19	toshiro	toshiro	PROPN
cana-589	157	20	matsumoto	matsumoto	PROPN
cana-589	157	21	,	,	PUNCT
cana-589	157	22	topology	topology	NOUN
cana-589	157	23	optimization	optimization	NOUN
cana-589	157	24	for	for	ADP
cana-589	157	25	incompressible	incompressible	ADJ
cana-589	157	26	viscous	viscous	ADJ
cana-589	157	27	fluid	fluid	NOUN
cana-589	157	28	flow	flow	NOUN
cana-589	157	29	using	use	VERB
cana-589	157	30	the	the	DET
cana-589	157	31	lattice	lattice	ADJ
cana-589	157	32	kinetic	kinetic	ADJ
cana-589	157	33	scheme	scheme	NOUN
cana-589	157	34	,	,	PUNCT
cana-589	157	35	computers	computer	NOUN
cana-589	157	36	&	&	CCONJ
cana-589	157	37	mathematics	mathematic	NOUN
cana-589	157	38	with	with	ADP
cana-589	157	39	applications	application	NOUN
cana-589	157	40	,	,	PUNCT
cana-589	157	41	97	97	NUM
cana-589	157	42	,	,	PUNCT
cana-589	157	43	2021	2021	NUM
cana-589	157	44	,	,	PUNCT
cana-589	157	45	251	251	NUM
cana-589	157	46	-	-	SYM
cana-589	157	47	266	266	NUM
cana-589	157	48	.	.	PUNCT
cana-589	158	1	[	[	X
cana-589	158	2	8	8	X
cana-589	158	3	]	]	X
cana-589	158	4	moffatt	moffatt	PROPN
cana-589	158	5	h	h	PROPN
cana-589	158	6	k	k	PROPN
cana-589	158	7	,	,	PUNCT
cana-589	158	8	some	some	DET
cana-589	158	9	topological	topological	ADJ
cana-589	158	10	aspects	aspect	NOUN
cana-589	158	11	of	of	ADP
cana-589	158	12	fluid	fluid	ADJ
cana-589	158	13	dynamics	dynamic	NOUN
cana-589	158	14	,	,	PUNCT
cana-589	158	15	journal	journal	NOUN
cana-589	158	16	of	of	ADP
cana-589	158	17	fluid	fluid	ADJ
cana-589	158	18	mechanics	mechanic	NOUN
cana-589	158	19	,	,	PUNCT
cana-589	158	20	914	914	NUM
cana-589	158	21	,	,	PUNCT
cana-589	158	22	2021	2021	NUM
cana-589	158	23	,	,	PUNCT
cana-589	158	24	914	914	NUM
cana-589	158	25	p1	p1	NOUN
cana-589	158	26	-	-	NOUN
cana-589	158	27	56	56	NUM
cana-589	158	28	.	.	PUNCT
cana-589	159	1	[	[	X
cana-589	159	2	9	9	NUM
cana-589	159	3	]	]	X
cana-589	159	4	naoki	naoki	PROPN
cana-589	159	5	sato	sato	PROPN
cana-589	159	6	,	,	PUNCT
cana-589	159	7	michio	michio	PROPN
cana-589	159	8	yamada	yamada	PROPN
cana-589	159	9	,	,	PUNCT
cana-589	159	10	vorticity	vorticity	NOUN
cana-589	159	11	equation	equation	NOUN
cana-589	159	12	on	on	ADP
cana-589	159	13	surfaces	surface	NOUN
cana-589	159	14	with	with	ADP
cana-589	159	15	arbitrary	arbitrary	ADJ
cana-589	159	16	topology	topology	NOUN
cana-589	159	17	embedded	embed	VERB
cana-589	159	18	in	in	ADP
cana-589	159	19	threedimensional	threedimensional	ADJ
cana-589	159	20	euclidean	euclidean	ADJ
cana-589	159	21	space	space	NOUN
cana-589	159	22	,	,	PUNCT
cana-589	159	23	journal	journal	NOUN
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cana-589	159	28	63(9	63(9	NOUN
cana-589	159	29	)	)	PUNCT
cana-589	159	30	,	,	PUNCT
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cana-589	159	32	.	.	PUNCT
cana-589	160	1	[	[	X
cana-589	160	2	10	10	NUM
cana-589	160	3	]	]	X
cana-589	160	4	daniel	daniel	PROPN
cana-589	160	5	peralta	peralta	PROPN
cana-589	160	6	-	-	PUNCT
cana-589	160	7	salas	salas	PROPN
cana-589	160	8	,	,	PUNCT
cana-589	160	9	selected	select	VERB
cana-589	160	10	topics	topic	NOUN
cana-589	160	11	on	on	ADP
cana-589	160	12	the	the	DET
cana-589	160	13	topology	topology	NOUN
cana-589	160	14	of	of	ADP
cana-589	160	15	ideal	ideal	ADJ
cana-589	160	16	fluid	fluid	ADJ
cana-589	160	17	flows	flow	NOUN
cana-589	160	18	,	,	PUNCT
cana-589	160	19	international	international	ADJ
cana-589	160	20	journal	journal	NOUN
cana-589	160	21	of	of	ADP
cana-589	160	22	geometric	geometric	ADJ
cana-589	160	23	methods	method	NOUN
cana-589	160	24	in	in	ADP
cana-589	160	25	modern	modern	ADJ
cana-589	160	26	physics	physics	NOUN
cana-589	160	27	vol	vol	NOUN
cana-589	160	28	.	.	PROPN
cana-589	161	1	13	13	NUM
cana-589	161	2	,	,	PUNCT
cana-589	161	3	no	no	INTJ
cana-589	161	4	.	.	PUNCT
cana-589	161	5	supp	supp	PROPN
cana-589	161	6	.	.	PUNCT
cana-589	162	1	1	1	NUM
cana-589	162	2	,	,	PUNCT
cana-589	162	3	1630012	1630012	NUM
cana-589	162	4	(	(	PUNCT
cana-589	162	5	2016	2016	NUM
cana-589	162	6	)	)	PUNCT
cana-589	162	7	.	.	PUNCT
cana-589	163	1	[	[	X
cana-589	163	2	11	11	NUM
cana-589	163	3	]	]	PUNCT
cana-589	163	4	ross	ross	PROPN
cana-589	163	5	ethier	ethier	X
cana-589	163	6	c	c	PROPN
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cana-589	163	8	steinman	steinman	PROPN
cana-589	163	9	d.	d.	PROPN
cana-589	163	10	a.	a.	PROPN
cana-589	163	11	,	,	PUNCT
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cana-589	163	13	fully	fully	ADV
cana-589	163	14	3d	3d	PROPN
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cana-589	163	16	-	-	PUNCT
cana-589	163	17	stokes	stoke	NOUN
cana-589	163	18	solutions	solution	NOUN
cana-589	163	19	for	for	ADP
cana-589	163	20	benchmarking	benchmarke	VERB
cana-589	163	21	,	,	PUNCT
cana-589	163	22	international	international	ADJ
cana-589	163	23	journal	journal	NOUN
cana-589	163	24	for	for	ADP
cana-589	163	25	numerical	numerical	ADJ
cana-589	163	26	methods	method	NOUN
cana-589	163	27	in	in	ADP
cana-589	163	28	fluids	fluid	NOUN
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cana-589	163	30	vol	vol	NOUN
cana-589	163	31	.	.	PROPN
cana-589	163	32	19,369	19,369	NUM
cana-589	163	33	-	-	SYM
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cana-589	163	35	(	(	PUNCT
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cana-589	163	37	)	)	PUNCT
cana-589	163	38	.	.	PUNCT
cana-589	164	1	[	[	X
cana-589	164	2	12	12	NUM
cana-589	164	3	]	]	X
cana-589	164	4	wang	wang	PROPN
cana-589	164	5	c.	c.	PROPN
cana-589	164	6	y.	y.	PROPN
cana-589	164	7	,	,	PUNCT
cana-589	164	8	exact	exact	ADJ
cana-589	164	9	solutions	solution	NOUN
cana-589	164	10	of	of	ADP
cana-589	164	11	the	the	DET
cana-589	164	12	steady	steady	ADJ
cana-589	164	13	-	-	PUNCT
cana-589	164	14	state	state	NOUN
cana-589	164	15	navier	navier	NOUN
cana-589	164	16	stokes	stokes	PROPN
cana-589	164	17	equations	equation	NOUN
cana-589	164	18	,	,	PUNCT
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cana-589	164	20	.	.	PUNCT
cana-589	164	21	rev	rev	PROPN
cana-589	164	22	.	.	PROPN
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cana-589	164	24	mech	mech	NOUN
cana-589	164	25	.	.	PUNCT
cana-589	164	26	,	,	PUNCT
cana-589	164	27	23(1991	23(1991	NUM
cana-589	164	28	)	)	PUNCT
cana-589	164	29	,	,	PUNCT
cana-589	164	30	159	159	NUM
cana-589	164	31	177	177	NUM
cana-589	164	32	.	.	PUNCT
cana-589	165	1	[	[	X
cana-589	165	2	13	13	NUM
cana-589	165	3	]	]	X
cana-589	165	4	philip	philip	PROPN
cana-589	165	5	boyland	boyland	PROPN
cana-589	165	6	,	,	PUNCT
cana-589	165	7	exponential	exponential	ADJ
cana-589	165	8	growth	growth	NOUN
cana-589	165	9	in	in	ADP
cana-589	165	10	two	two	NUM
cana-589	165	11	-	-	PUNCT
cana-589	165	12	dimensional	dimensional	ADJ
cana-589	165	13	topological	topological	ADJ
cana-589	165	14	fluid	fluid	ADJ
cana-589	165	15	dynamics	dynamic	NOUN
cana-589	165	16	,	,	PUNCT
cana-589	165	17	procedia	procedia	PROPN
cana-589	165	18	,	,	PUNCT
cana-589	165	19	iutam	iutam	VERB
cana-589	165	20	7	7	NUM
cana-589	165	21	(	(	PUNCT
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cana-589	165	23	)	)	PUNCT
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cana-589	165	25	–	–	PUNCT
cana-589	165	26	116	116	NUM
cana-589	165	27	.	.	PUNCT
cana-589	166	1	[	[	X
cana-589	166	2	14	14	NUM
cana-589	166	3	]	]	X
cana-589	166	4	joe	joe	PROPN
cana-589	166	5	alexandersen	alexandersen	PROPN
cana-589	166	6	,	,	PUNCT
cana-589	166	7	casper	casper	PROPN
cana-589	166	8	schousboe	schousboe	PROPN
cana-589	166	9	andreasen	andreasen	PROPN
cana-589	166	10	,	,	PUNCT
cana-589	166	11	a	a	DET
cana-589	166	12	review	review	NOUN
cana-589	166	13	of	of	ADP
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cana-589	166	15	optimisation	optimisation	NOUN
cana-589	166	16	for	for	ADP
cana-589	166	17	fluid	fluid	NOUN
cana-589	166	18	-	-	PUNCT
cana-589	166	19	based	base	VERB
cana-589	166	20	problems	problem	NOUN
cana-589	166	21	,	,	PUNCT
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cana-589	166	24	,	,	PUNCT
cana-589	166	25	5	5	NUM
cana-589	166	26	,	,	PUNCT
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cana-589	166	34	]	]	X
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cana-589	166	43	field	field	NOUN
cana-589	166	44	in	in	ADP
cana-589	166	45	inviscid	inviscid	ADJ
cana-589	166	46	and	and	CCONJ
cana-589	166	47	viscous	viscous	ADJ
cana-589	166	48	fluid	fluid	NOUN
cana-589	166	49	flow	flow	NOUN
cana-589	166	50	,	,	PUNCT
cana-589	166	51	malaya	malaya	PROPN
cana-589	166	52	journal	journal	PROPN
cana-589	166	53	of	of	ADP
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cana-589	166	55	,	,	PUNCT
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cana-589	166	57	.	.	PROPN
cana-589	166	58	8	8	NUM
cana-589	166	59	,	,	PUNCT
cana-589	166	60	no	no	INTJ
cana-589	166	61	.	.	NOUN
cana-589	166	62	2	2	NUM
cana-589	166	63	,	,	PUNCT
cana-589	166	64	662	662	NUM
cana-589	166	65	-	-	SYM
cana-589	166	66	667	667	NUM
cana-589	166	67	,	,	PUNCT
cana-589	166	68	2020	2020	NUM
cana-589	166	69	.	.	PUNCT
cana-589	167	1	https://www.sciencedirect.com/journal/computers-and-mathematics-with-applications	https://www.sciencedirect.com/journal/computers-and-mathematics-with-application	NOUN
cana-589	167	2	https://www.sciencedirect.com/journal/computers-and-mathematics-with-applications	https://www.sciencedirect.com/journal/computers-and-mathematics-with-applications	NUM
cana-589	167	3	https://www.sciencedirect.com/journal/computers-and-mathematics-with-applications/vol/97/suppl/c	https://www.sciencedirect.com/journal/computers-and-mathematics-with-applications/vol/97/suppl/c	PROPN
cana-589	167	4	javascript	javascript	NOUN
cana-589	167	5	:	:	PUNCT
cana-589	167	6	;	;	PUNCT
cana-589	167	7	javascript	javascript	NOUN
cana-589	167	8	:	:	PUNCT
cana-589	167	9	;	;	PUNCT
cana-589	167	10	https://www.worldscientific.com/doi/epdf/10.1142/s0219887816300129	https://www.worldscientific.com/doi/epdf/10.1142/s0219887816300129	X
cana-589	168	1	https://www.worldscientific.com/worldscinet/ijgmmp	https://www.worldscientific.com/worldscinet/ijgmmp	X
cana-589	168	2	https://www.worldscientific.com/worldscinet/ijgmmp	https://www.worldscientific.com/worldscinet/ijgmmp	NOUN
cana-589	168	3	https://www.worldscientific.com/toc/ijgmmp/13/supp.+1	https://www.worldscientific.com/toc/ijgmmp/13/supp.+1	VERB
cana-589	168	4	https://www.worldscientific.com/toc/ijgmmp/13/supp.+1	https://www.worldscientific.com/toc/ijgmmp/13/supp.+1	INTJ