id	sid	eid	entity	type
ejpam-4931	1	1	european journal	ORG
ejpam-4931	2	1	16	CARDINAL
ejpam-4931	2	2	4	CARDINAL
ejpam-4931	2	3	2023	CARDINAL
ejpam-4931	2	4	2247	CARDINAL
ejpam-4931	2	5	1307-5543	DATE
ejpam-4931	3	1	new york	GPE
ejpam-4931	3	2	3d	CARDINAL
ejpam-4931	3	3	jules ouya1	PERSON
ejpam-4931	3	4	arouna	ORG
ejpam-4931	3	5	1 département de mathématiques	ORG
ejpam-4931	3	6	laboratoire de mathématiques	ORG
ejpam-4931	3	7	informatique et applications	ORG
ejpam-4931	3	8	norbert zongo	PERSON
ejpam-4931	3	9	burkina faso	ORG
ejpam-4931	4	1	three	CARDINAL
ejpam-4931	6	1	17–19	CARDINAL
ejpam-4931	7	1	1	CARDINAL
ejpam-4931	8	1	2020	DATE
ejpam-4931	8	2	35q30	CARDINAL
ejpam-4931	8	3	35b40	CARDINAL
ejpam-4931	8	4	76d05	CARDINAL
ejpam-4931	8	5	34c35	CARDINAL
ejpam-4931	15	1	10 to 20 kilometers	QUANTITY
ejpam-4931	15	2	thousands of kilometers	QUANTITY
ejpam-4931	16	1	j. ouya	PERSON
ejpam-4931	16	2	a. ouédraogo	PERSON
ejpam-4931	16	3	2247	CARDINAL
ejpam-4931	17	1	2023	CARDINAL
ejpam-4931	18	1	j. ouya	PERSON
ejpam-4931	18	2	a. ouédraogo	PERSON
ejpam-4931	19	1	j. pure	PERSON
ejpam-4931	19	2	16	CARDINAL
ejpam-4931	19	3	4	CARDINAL
ejpam-4931	19	4	2023	CARDINAL
ejpam-4931	19	5	2247-2285 2248	DATE
ejpam-4931	19	6	0,	PERCENT
ejpam-4931	19	7	∂t(ρu	GPE
ejpam-4931	21	1	= divx	PERSON
ejpam-4931	21	2	2ν1dx(u	CARDINAL
ejpam-4931	23	1	−gρ	PERSON
ejpam-4931	24	1	1	CARDINAL
ejpam-4931	24	2	0	CARDINAL
ejpam-4931	25	1	0	CARDINAL
ejpam-4931	25	2	1	CARDINAL
ejpam-4931	25	3	two	CARDINAL
ejpam-4931	27	1	u⊗u	GPE
ejpam-4931	28	1	dx	ORG
ejpam-4931	29	1	2	CARDINAL
ejpam-4931	30	1	3	CARDINAL
ejpam-4931	33	1	1	CARDINAL
ejpam-4931	33	2	first	ORDINAL
ejpam-4931	33	3	second	ORDINAL
ejpam-4931	34	1	−gρ	PERSON
ejpam-4931	37	1	f. wang et al	PERSON
ejpam-4931	37	2	19	CARDINAL
ejpam-4931	37	3	cpe	ORG
ejpam-4931	37	4	1	CARDINAL
ejpam-4931	38	1	11	CARDINAL
ejpam-4931	38	2	liu	PERSON
ejpam-4931	38	3	titi	PERSON
ejpam-4931	38	4	1	CARDINAL
ejpam-4931	38	5	1	CARDINAL
ejpam-4931	39	1	11	CARDINAL
ejpam-4931	39	2	19	CARDINAL
ejpam-4931	39	3	1	CARDINAL
ejpam-4931	40	1	2010	DATE
ejpam-4931	40	2	3	CARDINAL
ejpam-4931	41	1	2	CARDINAL
ejpam-4931	41	2	ρ(t	NORP
ejpam-4931	41	3	x)e	NORP
ejpam-4931	41	4	19	CARDINAL
ejpam-4931	42	1	ρ(t	NORP
ejpam-4931	42	2	2	CARDINAL
ejpam-4931	42	3	ϕ(y	ORG
ejpam-4931	43	1	2a	CARDINAL
ejpam-4931	44	1	0	CARDINAL
ejpam-4931	44	2	∞[×t2	ORG
ejpam-4931	46	1	3	CARDINAL
ejpam-4931	46	2	1	CARDINAL
ejpam-4931	47	1	+ divx	PERSON
ejpam-4931	47	2	0	CARDINAL
ejpam-4931	47	3	+ divx	PERSON
ejpam-4931	47	4	u⊗	GPE
ejpam-4931	50	1	2	CARDINAL
ejpam-4931	51	1	∂yu	PERSON
ejpam-4931	51	2	4	CARDINAL
ejpam-4931	51	3	j. ouya	PERSON
ejpam-4931	51	4	a. ouédraogo	PERSON
ejpam-4931	52	1	j. pure	PERSON
ejpam-4931	52	2	16	CARDINAL
ejpam-4931	52	3	4	CARDINAL
ejpam-4931	52	4	2023	CARDINAL
ejpam-4931	52	5	2247	CARDINAL
ejpam-4931	52	6	∈ ω	ORG
ejpam-4931	52	7	0	CARDINAL
ejpam-4931	53	1	i≥0 εiuij	GPE
ejpam-4931	53	2	j = 1	PERSON
ejpam-4931	53	3	2	DATE
ejpam-4931	53	4	1 +	DATE
ejpam-4931	53	5	ξ0	DATE
ejpam-4931	54	1	4	CARDINAL
ejpam-4931	54	2	∂tξ + divx(ξu	PERSON
ejpam-4931	55	1	0	CARDINAL
ejpam-4931	55	2	∂t(ξu	ORG
ejpam-4931	57	1	0	CARDINAL
ejpam-4931	57	2	5	CARDINAL
ejpam-4931	57	3	∂yu	PERSON
ejpam-4931	57	4	∂yu	PERSON
ejpam-4931	58	1	0	CARDINAL
ejpam-4931	59	1	6	CARDINAL
ejpam-4931	59	2	ρ|t=0	NORP
ejpam-4931	59	3	7	CARDINAL
ejpam-4931	59	4	ξ0	DATE
ejpam-4931	59	5	0	CARDINAL
ejpam-4931	59	6	0 ≤	MONEY
ejpam-4931	59	7	8)	CARDINAL
ejpam-4931	59	8	ξ0	DATE
ejpam-4931	59	9	0	CARDINAL
ejpam-4931	59	10	0	CARDINAL
ejpam-4931	60	1	9	CARDINAL
ejpam-4931	60	2		ORG
ejpam-4931	60	3	∈	ORG
ejpam-4931	60	4	∈	ORG
ejpam-4931	60	5	l 4 3	DATE
ejpam-4931	60	6	∈	ORG
ejpam-4931	61	1	10	CARDINAL
ejpam-4931	61	2	1	CARDINAL
ejpam-4931	61	3	1	CARDINAL
ejpam-4931	63	1	1	CARDINAL
ejpam-4931	63	2	1	CARDINAL
ejpam-4931	63	3	j. ouya	PERSON
ejpam-4931	63	4	a. ouédraogo	PERSON
ejpam-4931	64	1	j. pure	PERSON
ejpam-4931	64	2	16	CARDINAL
ejpam-4931	64	3	4	CARDINAL
ejpam-4931	64	4	2023	CARDINAL
ejpam-4931	64	5	2247-2285 2250	DATE
ejpam-4931	65	1	1	CARDINAL
ejpam-4931	65	2	1	CARDINAL
ejpam-4931	68	1	1	CARDINAL
ejpam-4931	68	2	1	CARDINAL
ejpam-4931	70	1	1	CARDINAL
ejpam-4931	70	2	1	CARDINAL
ejpam-4931	71	1	5)2	CARDINAL
ejpam-4931	71	2	ω	ORDINAL
ejpam-4931	72	1	∫ ω	ORG
ejpam-4931	72	2	1 2	CARDINAL
ejpam-4931	72	3	∫ ω ξ|u|3 dxdy +	ORG
ejpam-4931	73	1	0	CARDINAL
ejpam-4931	74	1	17	CARDINAL
ejpam-4931	74	2	19	CARDINAL
ejpam-4931	74	3	cpe	ORG
ejpam-4931	74	4	1	CARDINAL
ejpam-4931	74	5	1	CARDINAL
ejpam-4931	74	6	1	CARDINAL
ejpam-4931	74	7	2	CARDINAL
ejpam-4931	76	1	first	ORDINAL
ejpam-4931	78	1	10	CARDINAL
ejpam-4931	78	2	17	CARDINAL
ejpam-4931	82	1	section 3	LAW
ejpam-4931	83	1	section 4	LAW
ejpam-4931	84	1	section 5	LAW
ejpam-4931	84	2	zero	CARDINAL
ejpam-4931	85	1	j. ouya	PERSON
ejpam-4931	85	2	a. ouédraogo	PERSON
ejpam-4931	86	1	j. pure	PERSON
ejpam-4931	86	2	16	CARDINAL
ejpam-4931	86	3	4	CARDINAL
ejpam-4931	86	4	2023	CARDINAL
ejpam-4931	86	5	2247	CARDINAL
ejpam-4931	87	1	1	CARDINAL
ejpam-4931	88	1	16	CARDINAL
ejpam-4931	89	1	x0	ORG
ejpam-4931	89	2	three	CARDINAL
ejpam-4931	89	3	x0	ORG
ejpam-4931	89	4	⊆	CARDINAL
ejpam-4931	90	1	x0	ORG
ejpam-4931	91	1	1 ≤	MONEY
ejpam-4931	91	2	0	CARDINAL
ejpam-4931	91	3	x0	ORG
ejpam-4931	91	4	∂tu ∈ lq	PERSON
ejpam-4931	91	5	0	CARDINAL
ejpam-4931	92	1	0	CARDINAL
ejpam-4931	93	1	1	CARDINAL
ejpam-4931	93	2	w	ORG
ejpam-4931	93	3	0	CARDINAL
ejpam-4931	94	1	2	CARDINAL
ejpam-4931	95	1	19	CARDINAL
ejpam-4931	95	2	2.3	CARDINAL
ejpam-4931	96	1	ω ⊂ rn	ORG
ejpam-4931	97	1	⊂	GPE
ejpam-4931	97	2	ω	DATE
ejpam-4931	100	1	1	CARDINAL
ejpam-4931	101	1	3	CARDINAL
ejpam-4931	102	1	14	CARDINAL
ejpam-4931	102	2	1	CARDINAL
ejpam-4931	102	3	1	CARDINAL
ejpam-4931	102	4	− m n	ORG
ejpam-4931	103	1	θ q	ORG
ejpam-4931	104	1	11	CARDINAL
ejpam-4931	105	1	5)1	ORDINAL
ejpam-4931	106	1	12	CARDINAL
ejpam-4931	106	2	12	CARDINAL
ejpam-4931	106	3	v(y	PERSON
ejpam-4931	110	1	13	CARDINAL
ejpam-4931	111	1	14	CARDINAL
ejpam-4931	112	1	1	CARDINAL
ejpam-4931	114	1	j. ouya	PERSON
ejpam-4931	114	2	a. ouédraogo	PERSON
ejpam-4931	115	1	j. pure	PERSON
ejpam-4931	115	2	16	CARDINAL
ejpam-4931	115	3	4	CARDINAL
ejpam-4931	115	4	2023	CARDINAL
ejpam-4931	115	5	2247-2285 2252	DATE
ejpam-4931	115	6	2.1	CARDINAL
ejpam-4931	116	1	5)-(7	CARDINAL
ejpam-4931	116	2	1	CARDINAL
ejpam-4931	116	3	7	CARDINAL
ejpam-4931	116	4	d′(ω	GPE
ejpam-4931	116	5	2	CARDINAL
ejpam-4931	116	6	classes	ORG
ejpam-4931	116	7	∈	ORG
ejpam-4931	116	8	0	CARDINAL
ejpam-4931	116	9	∈	ORG
ejpam-4931	116	10	0	CARDINAL
ejpam-4931	116	11	√	PERSON
ejpam-4931	116	12	0	CARDINAL
ejpam-4931	116	13	1 3u	CARDINAL
ejpam-4931	116	14	0	CARDINAL
ejpam-4931	116	15	∈	ORG
ejpam-4931	116	16	0	CARDINAL
ejpam-4931	116	17	∈	ORG
ejpam-4931	116	18	0	CARDINAL
ejpam-4931	116	19	∈	ORG
ejpam-4931	116	20	0	CARDINAL
ejpam-4931	116	21	√	PERSON
ejpam-4931	116	22	∈	ORG
ejpam-4931	116	23	0	CARDINAL
ejpam-4931	116	24	√ ξ∂yu ∈	PERSON
ejpam-4931	116	25	0	CARDINAL
ejpam-4931	116	26	∈	ORG
ejpam-4931	116	27	0	CARDINAL
ejpam-4931	116	28	∇x √	PERSON
ejpam-4931	116	29	0	CARDINAL
ejpam-4931	117	1	15	CARDINAL
ejpam-4931	117	2	3	CARDINAL
ejpam-4931	117	3	ω m0φ(0	FAC
ejpam-4931	120	1	ξu⊗	GPE
ejpam-4931	122	1	∫ ω	ORG
ejpam-4931	124	1	∇xφ+ ξ∂yu∂yφ	PERSON
ejpam-4931	124	2	16	CARDINAL
ejpam-4931	124	3	φ(t	ORG
ejpam-4931	124	4	0	CARDINAL
ejpam-4931	126	1	1	CARDINAL
ejpam-4931	126	2	10	CARDINAL
ejpam-4931	127	1	0	CARDINAL
ejpam-4931	127	2	5)-(7	CARDINAL
ejpam-4931	127	3	2.1	CARDINAL
ejpam-4931	128	1	2	CARDINAL
ejpam-4931	129	1	1	CARDINAL
ejpam-4931	129	2	1)-(3	CARDINAL
ejpam-4931	129	3	6	CARDINAL
ejpam-4931	129	4	7	CARDINAL
ejpam-4931	129	5	2.1	CARDINAL
ejpam-4931	130	1	3	CARDINAL
ejpam-4931	130	2	9	CARDINAL
ejpam-4931	130	3	18	DATE
ejpam-4931	130	4	19	CARDINAL
ejpam-4931	130	5	chapter 7 of	LAW
ejpam-4931	130	6	4	CARDINAL
ejpam-4931	130	7	17	CARDINAL
ejpam-4931	131	1	1)-(3	CARDINAL
ejpam-4931	131	2	6)−	CARDINAL
ejpam-4931	131	3	7	CARDINAL
ejpam-4931	131	4	0	CARDINAL
ejpam-4931	132	1	j. ouya	PERSON
ejpam-4931	132	2	a. ouédraogo	PERSON
ejpam-4931	133	1	j. pure	PERSON
ejpam-4931	133	2	16	CARDINAL
ejpam-4931	133	3	4	CARDINAL
ejpam-4931	133	4	2023	CARDINAL
ejpam-4931	133	5	2247	CARDINAL
ejpam-4931	133	6	3.1	CARDINAL
ejpam-4931	134	1		CARDINAL
ejpam-4931	135	1	∂t(ξu	ORG
ejpam-4931	136	1	rξ|u|u+ r1u	PERSON
ejpam-4931	136	2	xu = divx	PERSON
ejpam-4931	136	3	2ξd(u	CARDINAL
ejpam-4931	138	1	+ k1ξ∇x	PERSON
ejpam-4931	138	2	∆x √ ξ√	DATE
ejpam-4931	139	1	0	CARDINAL
ejpam-4931	139	2	17	CARDINAL
ejpam-4931	139	3	∈ ω	ORG
ejpam-4931	139	4	0	CARDINAL
ejpam-4931	139	5	10	CARDINAL
ejpam-4931	139	6	v(y	PERSON
ejpam-4931	144	1	0	CARDINAL
ejpam-4931	145	1	∆x √ ξ√	DATE
ejpam-4931	145	2	bohm	PERSON
ejpam-4931	146	1	0	CARDINAL
ejpam-4931	149	1	n ∈ n	ORG
ejpam-4931	149	2	ω	LOC
ejpam-4931	152	1	ξ0	DATE
ejpam-4931	152	2	ξ0	DATE
ejpam-4931	152	3	0	CARDINAL
ejpam-4931	153	1	0	CARDINAL
ejpam-4931	153	2	u(x	ORG
ejpam-4931	157	1	0	CARDINAL
ejpam-4931	157	2	0	CARDINAL
ejpam-4931	157	3	xn(ω))= sup	PERSON
ejpam-4931	159	1	0	CARDINAL
ejpam-4931	159	2	0	CARDINAL
ejpam-4931	161	1	18	CARDINAL
ejpam-4931	161	2	+ divx(ξu	PERSON
ejpam-4931	162	1	∈	ORG
ejpam-4931	162	2	ξ0	DATE
ejpam-4931	162	3	0	CARDINAL
ejpam-4931	162	4	19	CARDINAL
ejpam-4931	162	5	j. ouya	PERSON
ejpam-4931	162	6	a. ouédraogo	PERSON
ejpam-4931	163	1	j. pure	PERSON
ejpam-4931	163	2	16	CARDINAL
ejpam-4931	163	3	4	CARDINAL
ejpam-4931	163	4	2023	CARDINAL
ejpam-4931	163	5	2247-2285 2254	DATE
ejpam-4931	164	1	0	CARDINAL
ejpam-4931	164	2	0	CARDINAL
ejpam-4931	165	1	0	CARDINAL
ejpam-4931	165	2	0	CARDINAL
ejpam-4931	165	3	19	CARDINAL
ejpam-4931	166	1	12	CARDINAL
ejpam-4931	167	1	3.1	CARDINAL
ejpam-4931	167	2	19	CARDINAL
ejpam-4931	170	1	ξ(x)e	NORP
ejpam-4931	171	1	0	CARDINAL
ejpam-4931	171	2	20	CARDINAL
ejpam-4931	172	1	20	CARDINAL
ejpam-4931	172	2	19	CARDINAL
ejpam-4931	173	1	0	CARDINAL
ejpam-4931	174	1	21	CARDINAL
ejpam-4931	174	2	0	CARDINAL
ejpam-4931	174	3	0	CARDINAL
ejpam-4931	174	4	∥s(u1)−	NORP
ejpam-4931	176	1	22	CARDINAL
ejpam-4931	176	2	3.2	CARDINAL
ejpam-4931	177	1	faedo-galerkin	PERSON
ejpam-4931	177	2	17)2	CARDINAL
ejpam-4931	178	1	φ ∈	PERSON
ejpam-4931	178	2	∈	ORG
ejpam-4931	178	3	0	CARDINAL
ejpam-4931	178	4	∫ ω ξnun(t	ORG
ejpam-4931	184	1	ξnun ⊗ un	ORG
ejpam-4931	185	1	∫ ω ξnunvn∂yφdxdt+ r ∫	ORG
ejpam-4931	188	1	∫ ω ∇xξ	ORG
ejpam-4931	189	1	∫ ω	ORG
ejpam-4931	189	2	∫ ω ∆xun ·	ORG
ejpam-4931	190	1	∫ ω	ORG
ejpam-4931	190	2	23	CARDINAL
ejpam-4931	201	1	√ ξn∇x √	LOC
ejpam-4931	203	1	∫ ω	ORG
ejpam-4931	203	2	∆x √ ξn	DATE
ejpam-4931	204	1	δ ∫	ORG
ejpam-4931	205	1	∫ ω	ORG
ejpam-4931	205	2	5	CARDINAL
ejpam-4931	205	3	xξndxdt	PERSON
ejpam-4931	205	4	j. ouya	PERSON
ejpam-4931	205	5	a. ouédraogo	PERSON
ejpam-4931	206	1	j. pure	PERSON
ejpam-4931	206	2	16	CARDINAL
ejpam-4931	206	3	4	CARDINAL
ejpam-4931	206	4	2023	CARDINAL
ejpam-4931	206	5	2247-2285 2255	DATE
ejpam-4931	206	6	dx = dxdy	ORG
ejpam-4931	207	1	4	CARDINAL
ejpam-4931	207	2	5	DATE
ejpam-4931	207	3	9	DATE
ejpam-4931	207	4	19	CARDINAL
ejpam-4931	207	5	23	CARDINAL
ejpam-4931	209	1	∈	ORG
ejpam-4931	210	1	m−1	PRODUCT
ejpam-4931	211	1	23	CARDINAL
ejpam-4931	213	1	un	ORG
ejpam-4931	213	2	24	CARDINAL
ejpam-4931	213	3	s(un	ORDINAL
ejpam-4931	213	4	un	ORG
ejpam-4931	213	5	2ξndx(un	CARDINAL
ejpam-4931	214	1	ξn∂yun)−	CARDINAL
ejpam-4931	215	1	⊗ un)−	ORG
ejpam-4931	217	1	−α∆2 xun −	PERSON
ejpam-4931	219	1	∇xun + k1ξ∇x	PERSON
ejpam-4931	220	1	5	CARDINAL
ejpam-4931	221	1	4–9	CARDINAL
ejpam-4931	221	2	13	DATE
ejpam-4931	221	3	15	CARDINAL
ejpam-4931	221	4	19	CARDINAL
ejpam-4931	222	1	m−1	PERSON
ejpam-4931	222	2	24	CARDINAL
ejpam-4931	222	3	0	CARDINAL
ejpam-4931	223	1	un	ORG
ejpam-4931	223	2	19	CARDINAL
ejpam-4931	223	3	24	CARDINAL
ejpam-4931	225	1	23	CARDINAL
ejpam-4931	225	2	φ = un	PERSON
ejpam-4931	227	1	2	CARDINAL
ejpam-4931	229	1	∫ ω ξn|un|3dx	ORG
ejpam-4931	230	1	∫ ω	ORG
ejpam-4931	232	1	r2 ∫ ω un ·	ORG
ejpam-4931	232	2	n dx + ∫ ω 2ξn|dx(un)|2dx	ORG
ejpam-4931	233	1	∫ ω	ORG
ejpam-4931	233	2	∫ ω	ORG
ejpam-4931	234	1	divx	PERSON
ejpam-4931	234	2	ξnun) dx	ORG
ejpam-4931	235	1	δ ∫ ω divx	ORG
ejpam-4931	235	2	5	CARDINAL
ejpam-4931	235	3	0	CARDINAL
ejpam-4931	235	4	25	CARDINAL
ejpam-4931	235	5	25	CARDINAL
ejpam-4931	235	6	one	CARDINAL
ejpam-4931	235	7	one	CARDINAL
ejpam-4931	235	8	∫ ω un	ORG
ejpam-4931	235	9	∫ ω	ORG
ejpam-4931	236	1	−2 ∫ ω	ORG
ejpam-4931	236	2	dx j. ouya	PERSON
ejpam-4931	236	3	a. ouédraogo	PERSON
ejpam-4931	237	1	j. pure	PERSON
ejpam-4931	237	2	16	CARDINAL
ejpam-4931	237	3	4	CARDINAL
ejpam-4931	237	4	2023	CARDINAL
ejpam-4931	237	5	2247	CARDINAL
ejpam-4931	239	1	∫ ω ξ2ndx	ORG
ejpam-4931	240	1	∫ ω |∇xξn|2 dx	ORG
ejpam-4931	240	2	26	CARDINAL
ejpam-4931	241	1	−r2 ∫ ω un ·	ORG
ejpam-4931	243	1	∫	ORG
ejpam-4931	245	1	∫ ω ξ−β n	ORG
ejpam-4931	246	1	∫ ω |∇xξ	ORG
ejpam-4931	246	2	27	CARDINAL
ejpam-4931	247	1	5 xξndx	QUANTITY
ejpam-4931	247	2	δ ∫ ω	ORG
ejpam-4931	247	3	5 xξndx	QUANTITY
ejpam-4931	247	4	2	CARDINAL
ejpam-4931	247	5	∫ ω	ORG
ejpam-4931	247	6	2	CARDINAL
ejpam-4931	248	1	∫ ω	ORG
ejpam-4931	249	1	28	CARDINAL
ejpam-4931	249	2	k1 ∫ ω ∆x √	ORG
ejpam-4931	254	1	∫ ω |∇x √	ORG
ejpam-4931	255	1	2	CARDINAL
ejpam-4931	255	2	∫ ω ξn|∇2	ORG
ejpam-4931	255	3	29	CARDINAL
ejpam-4931	255	4	2ξn∇x	CARDINAL
ejpam-4931	257	1	2ξn∇x	CARDINAL
ejpam-4931	258	1	∇2 x	PERSON
ejpam-4931	259	1	2	CARDINAL
ejpam-4931	260	1	26)-(29	CARDINAL
ejpam-4931	260	2	25	CARDINAL
ejpam-4931	260	3	un	ORG
ejpam-4931	261	1	∫ ω |∇xξn|2dx	ORG
ejpam-4931	262	1	∫ ω ξn|un|3dx	ORG
ejpam-4931	263	1	∫ ω	ORG
ejpam-4931	263	2	∫ ω 2ξn|dx(un)|2dx	ORG
ejpam-4931	263	3	∫ ω |∇xξ	ORG
ejpam-4931	263	4	2	CARDINAL
ejpam-4931	263	5	∫ ω ξn|∇2	ORG
ejpam-4931	265	1	∫ ω	ORG
ejpam-4931	266	1	0	CARDINAL
ejpam-4931	266	2	30	CARDINAL
ejpam-4931	266	3	0	CARDINAL
ejpam-4931	266	4	e(ξn	ORG
ejpam-4931	266	5	un	ORG
ejpam-4931	266	6	1 2	CARDINAL
ejpam-4931	266	7	ξ−β	GPE
ejpam-4931	267	1	j. ouya	PERSON
ejpam-4931	267	2	a. ouédraogo	PERSON
ejpam-4931	268	1	j. pure	PERSON
ejpam-4931	268	2	16	CARDINAL
ejpam-4931	268	3	4	CARDINAL
ejpam-4931	268	4	2023	CARDINAL
ejpam-4931	268	5	2247	CARDINAL
ejpam-4931	268	6	un	ORG
ejpam-4931	269	1	1 2	CARDINAL
ejpam-4931	269	2	ξ−β	GPE
ejpam-4931	270	1	2	CARDINAL
ejpam-4931	271	1	30	CARDINAL
ejpam-4931	271	2	0	CARDINAL
ejpam-4931	271	3	un	ORG
ejpam-4931	272	1	31	CARDINAL
ejpam-4931	272	2	20	CARDINAL
ejpam-4931	272	3	0	CARDINAL
ejpam-4931	272	4	0 < η ≤ ξn(t	QUANTITY
ejpam-4931	272	5	≤ 1 η	QUANTITY
ejpam-4931	272	6	32	CARDINAL
ejpam-4931	273	1	0	CARDINAL
ejpam-4931	273	2	∈ ω	ORG
ejpam-4931	274	1	30	CARDINAL
ejpam-4931	274	2	32	CARDINAL
ejpam-4931	274	3	∫ ω	ORG
ejpam-4931	274	4	ndx ≤ e0(ξn	ORG
ejpam-4931	274	5	un	ORG
ejpam-4931	275	1	33	CARDINAL
ejpam-4931	275	2	30	CARDINAL
ejpam-4931	275	3	∫ ω ξn|dx(un)|2dx ≤ e0(ξn	ORG
ejpam-4931	275	4	un	ORG
ejpam-4931	276	1	34	CARDINAL
ejpam-4931	276	2	35	CARDINAL
ejpam-4931	276	3	36	CARDINAL
ejpam-4931	276	4	un	ORG
ejpam-4931	276	5	0	CARDINAL
ejpam-4931	277	1	un	ORG
ejpam-4931	277	2	19	CARDINAL
ejpam-4931	277	3	24	CARDINAL
ejpam-4931	277	4	0	CARDINAL
ejpam-4931	278	1	30	CARDINAL
ejpam-4931	279	1	ndx ≤ e0(ξn	ORG
ejpam-4931	279	2	un	ORG
ejpam-4931	280	1	37	CARDINAL
ejpam-4931	280	2	e(ξn	ORG
ejpam-4931	280	3	un	ORG
ejpam-4931	280	4	un	ORG
ejpam-4931	280	5	38	CARDINAL
ejpam-4931	280	6	h5(ω))≤	PERSON
ejpam-4931	280	7	un	ORG
ejpam-4931	280	8	39	CARDINAL
ejpam-4931	281	1	2	CARDINAL
ejpam-4931	281	2	ndxdy = ∫	ORG
ejpam-4931	282	1	2	CARDINAL
ejpam-4931	282	2	j. ouya	PERSON
ejpam-4931	282	3	a. ouédraogo	PERSON
ejpam-4931	283	1	j. pure	PERSON
ejpam-4931	283	2	16	CARDINAL
ejpam-4931	283	3	4	CARDINAL
ejpam-4931	283	4	2023	CARDINAL
ejpam-4931	283	5	2247	CARDINAL
ejpam-4931	283	6	∫ ω	ORG
ejpam-4931	283	7	1	CARDINAL
ejpam-4931	283	8	dxdy ≤ ∫	ORG
ejpam-4931	283	9	1	CARDINAL
ejpam-4931	284	1	2	CARDINAL
ejpam-4931	285	1	1	CARDINAL
ejpam-4931	285	2	un	ORG
ejpam-4931	285	3	40	CARDINAL
ejpam-4931	285	4	∫ ω ξnũ 2	ORG
ejpam-4931	285	5	ndxdy = ∫	ORG
ejpam-4931	286	1	2	CARDINAL
ejpam-4931	286	2	dxdy ≤ ∫ ω	ORG
ejpam-4931	286	3	0 |un(τ)|2dτ	PERCENT
ejpam-4931	286	4	dxdy ≤ ∫	ORG
ejpam-4931	287	1	1	CARDINAL
ejpam-4931	287	2	dxdy ≤ ∫ ω	ORG
ejpam-4931	287	3	1	CARDINAL
ejpam-4931	287	4	u2n(τ)dτ	GPE
ejpam-4931	287	5	un	ORG
ejpam-4931	288	1	41	CARDINAL
ejpam-4931	288	2	30	CARDINAL
ejpam-4931	289	1	ξn|2dxdt ≤ e0(ξn	PERSON
ejpam-4931	289	2	un	ORG
ejpam-4931	289	3	42	CARDINAL
ejpam-4931	290	1	2	CARDINAL
ejpam-4931	290	2	un	ORG
ejpam-4931	290	3	43	CARDINAL
ejpam-4931	290	4	32	CARDINAL
ejpam-4931	291	1	jüngel	ORG
ejpam-4931	291	2	9	CARDINAL
ejpam-4931	292	1	4	CARDINAL
ejpam-4931	294	1	∫ ω	ORG
ejpam-4931	294	2	ξ|2dxdy	CARDINAL
ejpam-4931	294	3	44	CARDINAL
ejpam-4931	294	4	∫ ω |∇ξ	ORG
ejpam-4931	294	5	|4dxdy ≤ 8	EVENT
ejpam-4931	294	6	∫ ω ξ|∇2	ORG
ejpam-4931	294	7	ξ|2dxdy	CARDINAL
ejpam-4931	295	1	45	CARDINAL
ejpam-4931	295	2	30	CARDINAL
ejpam-4931	295	3	4	CARDINAL
ejpam-4931	296	1	5	CARDINAL
ejpam-4931	298	1	1 4	CARDINAL
ejpam-4931	298	2	1 4 n ∥l4([0,t	QUANTITY
ejpam-4931	298	3	46	DATE
ejpam-4931	298	4	0	CARDINAL
ejpam-4931	298	5	n. j. ouya	PERSON
ejpam-4931	298	6	a. ouédraogo	PERSON
ejpam-4931	299	1	j. pure	PERSON
ejpam-4931	299	2	16	CARDINAL
ejpam-4931	299	3	4	CARDINAL
ejpam-4931	299	4	2023	CARDINAL
ejpam-4931	299	5	2247-2285 2259	DATE
ejpam-4931	299	6	un	ORG
ejpam-4931	300	1	3.1	CARDINAL
ejpam-4931	301	1	un	ORG
ejpam-4931	301	2	19	CARDINAL
ejpam-4931	301	3	24	CARDINAL
ejpam-4931	301	4	0	CARDINAL
ejpam-4931	302	1	un	ORG
ejpam-4931	303	1	∫	ORG
ejpam-4931	303	2	∫ ω	ORG
ejpam-4931	303	3	r1 ∫	ORG
ejpam-4931	305	1	∫ ω 2ξn|dx(un)|2dx	ORG
ejpam-4931	306	1	∫ ω |∆xun|2dxdt+ 4ϵr2	ORG
ejpam-4931	306	2	∫ ω |∇xξ	ORG
ejpam-4931	306	3	∫ ω	ORG
ejpam-4931	306	4	∫ ω	ORG
ejpam-4931	306	5	2	CARDINAL
ejpam-4931	307	1	ξn|2dxdt ≤ e(ξ0	PERSON
ejpam-4931	307	2	47	CARDINAL
ejpam-4931	307	3	e(ξn	ORG
ejpam-4931	307	4	un	ORG
ejpam-4931	308	1	1 2	CARDINAL
ejpam-4931	308	2	ξ−β	GPE
ejpam-4931	310	1	√	CARDINAL
ejpam-4931	310	2	∈	ORG
ejpam-4931	311	1	0	CARDINAL
ejpam-4931	311	2	∈	ORG
ejpam-4931	311	3	0	CARDINAL
ejpam-4931	311	4	0	CARDINAL
ejpam-4931	311	5	ξndxun	TIME
ejpam-4931	311	6	∈	ORG
ejpam-4931	311	7	0	CARDINAL
ejpam-4931	311	8	∈	ORG
ejpam-4931	311	9	0	CARDINAL
ejpam-4931	311	10	√ k1 √	PERSON
ejpam-4931	311	11	∈	ORG
ejpam-4931	311	12	0	CARDINAL
ejpam-4931	311	13	0	CARDINAL
ejpam-4931	311	14	√ ϵ∇x √	PERSON
ejpam-4931	311	15	∈	ORG
ejpam-4931	311	16	0	CARDINAL
ejpam-4931	311	17	∈	ORG
ejpam-4931	311	18	0	CARDINAL
ejpam-4931	311	19	√ ϵr2∇xξ −β	PERSON
ejpam-4931	311	20	2 n ∈	CARDINAL
ejpam-4931	311	21	0	CARDINAL
ejpam-4931	311	22	√ δϵξn	PERSON
ejpam-4931	311	23	∈	ORG
ejpam-4931	311	24	0	CARDINAL
ejpam-4931	311	25	√ r1un ∈	PERSON
ejpam-4931	311	26	0	CARDINAL
ejpam-4931	312	1	1 3	CARDINAL
ejpam-4931	312	2	n un ∈ l3	ORG
ejpam-4931	312	3	0	CARDINAL
ejpam-4931	313	1	∈	ORG
ejpam-4931	313	2	0	CARDINAL
ejpam-4931	313	3	4	CARDINAL
ejpam-4931	313	4	n ∈ l4	ORG
ejpam-4931	313	5	0	CARDINAL
ejpam-4931	313	6	∈	ORG
ejpam-4931	313	7	0	CARDINAL
ejpam-4931	313	8	√ ξnūn	ORG
ejpam-4931	313	9	0	CARDINAL
ejpam-4931	313	10	ξnũn ∈	PERSON
ejpam-4931	313	11	0	CARDINAL
ejpam-4931	314	1	48	CARDINAL
ejpam-4931	314	2	47	DATE
ejpam-4931	316	1	3.3	CARDINAL
ejpam-4931	317	1	convergence	PERSON
ejpam-4931	317	2	0	CARDINAL
ejpam-4931	318	1	first	ORDINAL
ejpam-4931	319	1	6	CARDINAL
ejpam-4931	321	1	j. ouya	PERSON
ejpam-4931	321	2	a. ouédraogo	PERSON
ejpam-4931	322	1	j. pure	PERSON
ejpam-4931	322	2	16	CARDINAL
ejpam-4931	322	3	4	CARDINAL
ejpam-4931	322	4	2023	CARDINAL
ejpam-4931	322	5	2247-2285 2260	DATE
ejpam-4931	322	6	0,t	CARDINAL
ejpam-4931	322	7	w−1	ORG
ejpam-4931	322	8	32	DATE
ejpam-4931	323	1	0,t	CARDINAL
ejpam-4931	323	2	0,t	CARDINAL
ejpam-4931	323	3	h5(ω	ORG
ejpam-4931	324	1	0,t	CARDINAL
ejpam-4931	324	2	w−1	ORG
ejpam-4931	324	3	32	DATE
ejpam-4931	325	1	l 5 3	DATE
ejpam-4931	326	1	l 5 3	DATE
ejpam-4931	327	1	49	DATE
ejpam-4931	327	2	r2	GPE
ejpam-4931	329	1	0	CARDINAL
ejpam-4931	330	1	√ ξn −→ √	PERSON
ejpam-4931	330	2	0	CARDINAL
ejpam-4931	330	3	ξ−β	GPE
ejpam-4931	330	4	0	CARDINAL
ejpam-4931	330	5	ξ−β	GPE
ejpam-4931	330	6	50	CARDINAL
ejpam-4931	331	1	49	CARDINAL
ejpam-4931	331	2	2.2	CARDINAL
ejpam-4931	331	3	18	CARDINAL
ejpam-4931	332	1	50	CARDINAL
ejpam-4931	333	1	√	PERSON
ejpam-4931	333	2	∈	ORG
ejpam-4931	333	3	0	CARDINAL
ejpam-4931	333	4	3	CARDINAL
ejpam-4931	333	5	2	CARDINAL
ejpam-4931	333	6	w 1,2(ω	EVENT
ejpam-4931	333	7	d−p	ORG
ejpam-4931	333	8	6	CARDINAL
ejpam-4931	333	9	√	PERSON
ejpam-4931	333	10	∈	ORG
ejpam-4931	333	11	0	CARDINAL
ejpam-4931	334	1	√	PERSON
ejpam-4931	334	2	∈	ORG
ejpam-4931	334	3	0	CARDINAL
ejpam-4931	335	1	ξnūn	CARDINAL
ejpam-4931	335	2	0	CARDINAL
ejpam-4931	335	3	ξnūn	CARDINAL
ejpam-4931	336	1	0	CARDINAL
ejpam-4931	336	2	l 3 2	DATE
ejpam-4931	337	1	19	CARDINAL
ejpam-4931	337	2	divx(ξnun)−	NORP
ejpam-4931	339	1	− divx	PERSON
ejpam-4931	339	2	0	CARDINAL
ejpam-4931	339	3	w−1	ORG
ejpam-4931	339	4	3 2	CARDINAL
ejpam-4931	340	1	51	CARDINAL
ejpam-4931	340	2	51	CARDINAL
ejpam-4931	340	3	∈	ORG
ejpam-4931	340	4	0	CARDINAL
ejpam-4931	341	1	0	CARDINAL
ejpam-4931	342	1	aubin-lions	ORG
ejpam-4931	342	2	1	CARDINAL
ejpam-4931	342	3	∈	ORG
ejpam-4931	342	4	0	CARDINAL
ejpam-4931	343	1	0	CARDINAL
ejpam-4931	345	1	ξ−β	GPE
ejpam-4931	345	2	l 5 3	DATE
ejpam-4931	345	3	0	CARDINAL
ejpam-4931	345	4	l 5 3	DATE
ejpam-4931	346	1	0	CARDINAL
ejpam-4931	346	2	ξ−β	GPE
ejpam-4931	346	3	0	CARDINAL
ejpam-4931	347	1	l 5 3	DATE
ejpam-4931	347	2	0,t	CARDINAL
ejpam-4931	347	3	0,t	CARDINAL
ejpam-4931	348	1	52	CARDINAL
ejpam-4931	348	2	1+∥ξ−1 n ∥l3(ω	MONEY
ejpam-4931	348	3	3( 1+∥ξn∥hk+2(ω	CARDINAL
ejpam-4931	348	4	2	CARDINAL
ejpam-4931	348	5	1	CARDINAL
ejpam-4931	348	6	2.1	CARDINAL
ejpam-4931	348	7	48	CARDINAL
ejpam-4931	348	8	0	CARDINAL
ejpam-4931	349	1	53	CARDINAL
ejpam-4931	349	2	j. ouya	PERSON
ejpam-4931	349	3	a. ouédraogo	PERSON
ejpam-4931	350	1	j. pure	PERSON
ejpam-4931	350	2	16	CARDINAL
ejpam-4931	350	3	4	CARDINAL
ejpam-4931	350	4	2023	CARDINAL
ejpam-4931	350	5	2247	CARDINAL
ejpam-4931	350	6	ξ−β	GPE
ejpam-4931	350	7	ξ−β	GPE
ejpam-4931	351	1	52	CARDINAL
ejpam-4931	351	2	2	CARDINAL
ejpam-4931	351	3	ξ−β	GPE
ejpam-4931	351	4	0	CARDINAL
ejpam-4931	352	1	19	CARDINAL
ejpam-4931	352	2	1 2	CARDINAL
ejpam-4931	352	3	1 2	CARDINAL
ejpam-4931	352	4	− divx	PERSON
ejpam-4931	353	1	53	CARDINAL
ejpam-4931	353	2	∈	ORG
ejpam-4931	353	3	0	CARDINAL
ejpam-4931	353	4	w−1	ORG
ejpam-4931	353	5	3 2	CARDINAL
ejpam-4931	353	6	∈	ORG
ejpam-4931	353	7	0	CARDINAL
ejpam-4931	353	8	w−1	ORG
ejpam-4931	353	9	3 2	CARDINAL
ejpam-4931	354	1	√	PERSON
ejpam-4931	354	2	∈	ORG
ejpam-4931	354	3	0	CARDINAL
ejpam-4931	354	4	−→ √	FAC
ejpam-4931	354	5	0	CARDINAL
ejpam-4931	355	1	√ ξn −→ √	PERSON
ejpam-4931	355	2	0	CARDINAL
ejpam-4931	355	3	× ω	ORG
ejpam-4931	356	1	5	CARDINAL
ejpam-4931	356	2	0,t	CARDINAL
ejpam-4931	357	1	l 5 3	DATE
ejpam-4931	357	2	2 5	CARDINAL
ejpam-4931	357	3	0,t	CARDINAL
ejpam-4931	357	4	3 5	CARDINAL
ejpam-4931	357	5	0,t	CARDINAL
ejpam-4931	359	1	54	DATE
ejpam-4931	359	2	49	CARDINAL
ejpam-4931	359	3	0	CARDINAL
ejpam-4931	360	1	7	CARDINAL
ejpam-4931	362	1	0	CARDINAL
ejpam-4931	362	2	ξnun −→ ξu a.e	ORG
ejpam-4931	362	3	0	CARDINAL
ejpam-4931	364	1	48	CARDINAL
ejpam-4931	364	2	un	ORG
ejpam-4931	364	3	0	CARDINAL
ejpam-4931	365	1	un	ORG
ejpam-4931	365	2	0	CARDINAL
ejpam-4931	366	1	0	CARDINAL
ejpam-4931	366	2	0	CARDINAL
ejpam-4931	367	1	∈	ORG
ejpam-4931	367	2	0	CARDINAL
ejpam-4931	367	3	∈	ORG
ejpam-4931	367	4	0	CARDINAL
ejpam-4931	367	5	∈	ORG
ejpam-4931	367	6	0	CARDINAL
ejpam-4931	367	7	∇(ξnun	PERSON
ejpam-4931	368	1	+ ξn∇xun	DATE
ejpam-4931	369	1	∈	ORG
ejpam-4931	369	2	0	CARDINAL
ejpam-4931	370	1	∈	ORG
ejpam-4931	370	2	0	CARDINAL
ejpam-4931	370	3	∈	ORG
ejpam-4931	370	4	0	CARDINAL
ejpam-4931	371	1	∈	ORG
ejpam-4931	371	2	0	CARDINAL
ejpam-4931	371	3	0	CARDINAL
ejpam-4931	374	1	divx(ξnun ⊗ un)−	ORG
ejpam-4931	374	2	∂y(ξnunvn)−∇xξ 2	FAC
ejpam-4931	375	1	α∆2un	CARDINAL
ejpam-4931	376	1	j. ouya	PERSON
ejpam-4931	376	2	a. ouédraogo	PERSON
ejpam-4931	377	1	j. pure	PERSON
ejpam-4931	377	2	16	CARDINAL
ejpam-4931	377	3	4	CARDINAL
ejpam-4931	377	4	2023	CARDINAL
ejpam-4931	377	5	2247-2285 2262	DATE
ejpam-4931	379	1	5	CARDINAL
ejpam-4931	380	1	55	CARDINAL
ejpam-4931	381	1	− divx(ξnũn	PERSON
ejpam-4931	383	1	+ ξnũn.∇xun	PERSON
ejpam-4931	383	2	⊗ un)− yξnūn.∇xun	PERSON
ejpam-4931	384	1	56	CARDINAL
ejpam-4931	384	2	48	CARDINAL
ejpam-4931	384	3	∈	ORG
ejpam-4931	384	4	0	CARDINAL
ejpam-4931	385	1	1	CARDINAL
ejpam-4931	385	2	ξnun converges	ORG
ejpam-4931	385	3	0	CARDINAL
ejpam-4931	385	4	∈	ORG
ejpam-4931	385	5	0	CARDINAL
ejpam-4931	386	1	0	CARDINAL
ejpam-4931	386	2	0	CARDINAL
ejpam-4931	388	1	8	CARDINAL
ejpam-4931	389	1	19	CARDINAL
ejpam-4931	389	2	3.5	CARDINAL
ejpam-4931	390	1	√ ξnun −→ √	PERSON
ejpam-4931	390	2	0	CARDINAL
ejpam-4931	390	3	ξnũn −→ √	PERSON
ejpam-4931	390	4	0	CARDINAL
ejpam-4931	390	5	√ ξnūn −→ √ ξū	PERSON
ejpam-4931	390	6	0	CARDINAL
ejpam-4931	391	1	lemma 8	ORG
ejpam-4931	391	2	√ ξnun −→ √ ξu	PERSON
ejpam-4931	391	3	√ ξnũn −→ √	PERSON
ejpam-4931	391	4	0	CARDINAL
ejpam-4931	392	1	9	CARDINAL
ejpam-4931	394	1	φ ∈	PERSON
ejpam-4931	394	2	0	CARDINAL
ejpam-4931	396	1	n −→ +∞. proof	ORG
ejpam-4931	397	1	φ ∈	PERSON
ejpam-4931	398	1	0	CARDINAL
ejpam-4931	399	1	56	CARDINAL
ejpam-4931	401	1	∫ ω	ORG
ejpam-4931	401	2	∂yφdxdydt	ORG
ejpam-4931	406	1	∂yφdxdydt	ORG
ejpam-4931	411	1	⊗ un)−	PERSON
ejpam-4931	412	1	∇xun	PERSON
ejpam-4931	412	2	j. ouya	PERSON
ejpam-4931	412	3	a. ouédraogo	PERSON
ejpam-4931	413	1	j. pure	PERSON
ejpam-4931	413	2	16	CARDINAL
ejpam-4931	413	3	4	CARDINAL
ejpam-4931	413	4	2023	CARDINAL
ejpam-4931	413	5	2247-2285 2263	DATE
ejpam-4931	418	1	∫ ω ξnũn	ORG
ejpam-4931	419	1	∇xun	GPE
ejpam-4931	419	2	∂yφdxdydt+	GPE
ejpam-4931	420	1	y∂yφdxdydt	GPE
ejpam-4931	421	1	57	CARDINAL
ejpam-4931	421	2	√ ξnun	PERSON
ejpam-4931	423	1	⊗ un	PERSON
ejpam-4931	423	2	⊗ un	PERSON
ejpam-4931	426	1	√ ξnun	PERSON
ejpam-4931	426	2	divxφdxdydt− ∫	ORG
ejpam-4931	426	3	∫ ω ∇x √	ORG
ejpam-4931	426	4	⊗ un	PERSON
ejpam-4931	426	5	φdxdydt	LANGUAGE
ejpam-4931	430	1	divxφdxdydt− ∫	ORG
ejpam-4931	431	1	⊗	CARDINAL
ejpam-4931	432	1	√ ξn∇xun	PERSON
ejpam-4931	433	1	0	CARDINAL
ejpam-4931	434	1	57	CARDINAL
ejpam-4931	436	1	−divx(ξũ	PERSON
ejpam-4931	437	1	10	CARDINAL
ejpam-4931	438	1	19	CARDINAL
ejpam-4931	439	1	0	CARDINAL
ejpam-4931	440	1	φdxdydt −→ ∫	GPE
ejpam-4931	440	2	∫ ω divx(ξdx(u	ORG
ejpam-4931	441	1	φdxdydt	GPE
ejpam-4931	442	1	5	CARDINAL
ejpam-4931	443	1	0 ∫ ω ξ∇x∆	ORG
ejpam-4931	444	1	∆x √ ξ√	DATE
ejpam-4931	444	2	φdxdydt	GPE
ejpam-4931	444	3	19	CARDINAL
ejpam-4931	444	4	24	CARDINAL
ejpam-4931	444	5	∂tξ + divx(ξu	PERSON
ejpam-4931	445	1	0	CARDINAL
ejpam-4931	445	2	− ∫ ω	ORG
ejpam-4931	450	1	ξu⊗	GPE
ejpam-4931	451	1	j. ouya	PERSON
ejpam-4931	451	2	a. ouédraogo	PERSON
ejpam-4931	452	1	j. pure	PERSON
ejpam-4931	452	2	16	CARDINAL
ejpam-4931	452	3	4	CARDINAL
ejpam-4931	452	4	2023	CARDINAL
ejpam-4931	452	5	2247	CARDINAL
ejpam-4931	452	6	2264	DATE
ejpam-4931	457	1	∫ ω ∇xξ 2 ·	ORG
ejpam-4931	458	1	∫ ω 2ξdx(u	ORG
ejpam-4931	462	1	2k1	CARDINAL
ejpam-4931	465	1	δ ∫	ORG
ejpam-4931	465	2	5	CARDINAL
ejpam-4931	465	3	58	CARDINAL
ejpam-4931	467	1	0	CARDINAL
ejpam-4931	467	2	dx = dxdy.	ORG
ejpam-4931	468	1	47	CARDINAL
ejpam-4931	469	1	∫	ORG
ejpam-4931	471	1	∫	ORG
ejpam-4931	472	1	∫ ω ξ|u|3dxdt + ∫	ORG
ejpam-4931	473	1	4ϵr2	CARDINAL
ejpam-4931	474	1	∫ ω |∇xξ	ORG
ejpam-4931	474	2	2	CARDINAL
ejpam-4931	474	3	2	CARDINAL
ejpam-4931	475	1	∫ ω	ORG
ejpam-4931	475	2	xξ|2dxdt+	ORG
ejpam-4931	476	1	∫	ORG
ejpam-4931	476	2	59	CARDINAL
ejpam-4931	476	3	e(ξ	NORP
ejpam-4931	477	1	1 2	CARDINAL
ejpam-4931	477	2	ξ−β	GPE
ejpam-4931	478	1	2	CARDINAL
ejpam-4931	479	1	17	CARDINAL
ejpam-4931	480	1	3.2	CARDINAL
ejpam-4931	481	1	0	CARDINAL
ejpam-4931	481	2	∂tξ + divx(ξu	PERSON
ejpam-4931	482	1	∂t(ξu	ORG
ejpam-4931	483	1	2divx	TIME
ejpam-4931	485	1	+ k1ξ∇x	PERSON
ejpam-4931	485	2	∆x √ ξ√	DATE
ejpam-4931	486	1	0	CARDINAL
ejpam-4931	486	2	60	CARDINAL
ejpam-4931	487	1	59	CARDINAL
ejpam-4931	488	1	j. ouya	PERSON
ejpam-4931	488	2	a. ouédraogo	PERSON
ejpam-4931	489	1	j. pure	PERSON
ejpam-4931	489	2	16	CARDINAL
ejpam-4931	489	3	4	CARDINAL
ejpam-4931	489	4	2023	CARDINAL
ejpam-4931	489	5	2247-2285 2265	DATE
ejpam-4931	489	6	4	CARDINAL
ejpam-4931	490	1	bresch-desjardins entropy	ORG
ejpam-4931	490	2	3.2	CARDINAL
ejpam-4931	490	3	b. desjardins	PERSON
ejpam-4931	490	4	2	CARDINAL
ejpam-4931	491	1	48	CARDINAL
ejpam-4931	491	2	53	CARDINAL
ejpam-4931	491	3	≥ c(δ	PERSON
ejpam-4931	491	4	0	CARDINAL
ejpam-4931	491	5	0	CARDINAL
ejpam-4931	491	6	∩	PERSON
ejpam-4931	491	7	0	CARDINAL
ejpam-4931	492	1	61	CARDINAL
ejpam-4931	492	2	⊗ u	ORG
ejpam-4931	495	1	61	CARDINAL
ejpam-4931	496	1	first	ORDINAL
ejpam-4931	499	1	62	CARDINAL
ejpam-4931	499	2	62	CARDINAL
ejpam-4931	499	3	2	CARDINAL
ejpam-4931	499	4	2ξ∇x	CARDINAL
ejpam-4931	500	1	+ divx	PERSON
ejpam-4931	500	2	2ξ∇t xu	QUANTITY
ejpam-4931	501	1	+ divx	PERSON
ejpam-4931	501	2	2ξ∇x	CARDINAL
ejpam-4931	501	3	⊗ u	PERCENT
ejpam-4931	501	4	+ 2∂y∇x(ξv	CARDINAL
ejpam-4931	502	1	2ϵ∇x∆xξ	CARDINAL
ejpam-4931	503	1	63	CARDINAL
ejpam-4931	503	2	63	CARDINAL
ejpam-4931	503	3	2∇x	PRODUCT
ejpam-4931	504	1	+ divx	PERSON
ejpam-4931	504	2	ξ(u+ 2∇x	QUANTITY
ejpam-4931	504	3	2∇x(ξv	CARDINAL
ejpam-4931	508	1	2ξax(u	ORDINAL
ejpam-4931	512	1	+ k1ξ∇x	PERSON
ejpam-4931	512	2	∆x √ ξ√	DATE
ejpam-4931	514	1	64	CARDINAL
ejpam-4931	514	2	xu 2	PERSON
ejpam-4931	515	1	1≤i	CARDINAL
ejpam-4931	515	2	j≤2	GPE
ejpam-4931	516	1	11	CARDINAL
ejpam-4931	517	1	61	CARDINAL
ejpam-4931	517	2	ω	DATE
ejpam-4931	517	3	1 2	CARDINAL
ejpam-4931	517	4	2∇x	CARDINAL
ejpam-4931	517	5	∫	ORG
ejpam-4931	517	6	∫	ORG
ejpam-4931	519	1	∫ ω	ORG
ejpam-4931	521	1	∫ ω	ORG
ejpam-4931	522	1	∫ ω	ORG
ejpam-4931	523	1	2δ	CARDINAL
ejpam-4931	524	1	∫ ω	ORG
ejpam-4931	524	2	2	CARDINAL
ejpam-4931	525	1	∫	ORG
ejpam-4931	527	1	2r1ϵ	TIME
ejpam-4931	530	1	j. ouya	PERSON
ejpam-4931	530	2	a. ouédraogo	PERSON
ejpam-4931	531	1	j. pure	PERSON
ejpam-4931	531	2	16	CARDINAL
ejpam-4931	531	3	4	CARDINAL
ejpam-4931	531	4	2023	CARDINAL
ejpam-4931	531	5	2247-2285 2266	DATE
ejpam-4931	531	6	∫ ω ( ξ0u 2	ORG
ejpam-4931	532	1	2	CARDINAL
ejpam-4931	534	1	r2	PERSON
ejpam-4931	534	2	65	CARDINAL
ejpam-4931	534	3	c(δ	PERSON
ejpam-4931	534	4	r2	GPE
ejpam-4931	536	1	64	CARDINAL
ejpam-4931	536	2	2∇x	CARDINAL
ejpam-4931	536	3	ω ∂t(ξψ)ψdxdy	ORG
ejpam-4931	537	1	divx(ξψ ⊗ u)ψdxdy	ORG
ejpam-4931	538	1	ω	CARDINAL
ejpam-4931	538	2	∫ ω ∂y∇x(ξv)ψdxdy + ∫ ω ∇xξ	ORG
ejpam-4931	540	1	2	CARDINAL
ejpam-4931	542	1	∫ ω	ORG
ejpam-4931	543	1	2ϵ	CARDINAL
ejpam-4931	545	1	∆x √ ξ√	DATE
ejpam-4931	546	1	− δ ∫ ω (ξ∇x∆ 5 xξ)ψdxdy	ORG
ejpam-4931	547	1	0	CARDINAL
ejpam-4931	548	1	66	CARDINAL
ejpam-4931	548	2	two	CARDINAL
ejpam-4931	548	3	first	ORDINAL
ejpam-4931	548	4	66	CARDINAL
ejpam-4931	548	5	•	CARDINAL
ejpam-4931	550	1	∫ ω ψ2∂tξdxdy + ∫ ω	ORG
ejpam-4931	550	2	2	CARDINAL
ejpam-4931	550	3	dxdy + ∫ ω	ORG
ejpam-4931	551	1	∫ ω ψ2∂tξdxdy + ∫ ω	ORG
ejpam-4931	551	2	2	CARDINAL
ejpam-4931	551	3	dxdy + ∫ ω	ORG
ejpam-4931	551	4	ξu∇xψ	ORG
ejpam-4931	551	5	2 + uψ2∇xξ	DATE
ejpam-4931	551	6	∫ ω ψ2∂tξdxdy + ∫ ω	ORG
ejpam-4931	551	7	2	CARDINAL
ejpam-4931	551	8	dxdy + ∫ ω	ORG
ejpam-4931	551	9	1 2	CARDINAL
ejpam-4931	551	10	2	CARDINAL
ejpam-4931	551	11	∫ ω	ORG
ejpam-4931	551	12	2dxdy	CARDINAL
ejpam-4931	552	1	∫	ORG
ejpam-4931	553	1	67	CARDINAL
ejpam-4931	554	1	third	ORDINAL
ejpam-4931	554	2	66	CARDINAL
ejpam-4931	554	3	•	CARDINAL
ejpam-4931	554	4	∫ ω ∂y(ξuv)ψdxdy = ∫ ω	ORG
ejpam-4931	554	5	∂y(ξvψ)ψdxdy	ORG
ejpam-4931	555	1	2	CARDINAL
ejpam-4931	555	2	∫ ω	ORG
ejpam-4931	556	1	2	CARDINAL
ejpam-4931	556	2	2	CARDINAL
ejpam-4931	556	3	∫ ω	ORG
ejpam-4931	557	1	1 2	CARDINAL
ejpam-4931	558	1	∫ ω	ORG
ejpam-4931	558	2	1 2	CARDINAL
ejpam-4931	558	3	∫ ω	ORG
ejpam-4931	559	1	∫ ω	ORG
ejpam-4931	560	1	68	CARDINAL
ejpam-4931	560	2	67	CARDINAL
ejpam-4931	560	3	first	ORDINAL
ejpam-4931	560	4	68	CARDINAL
ejpam-4931	560	5	1 2	CARDINAL
ejpam-4931	560	6	∫ ω	ORG
ejpam-4931	561	1	1 2	CARDINAL
ejpam-4931	562	1	1 2	CARDINAL
ejpam-4931	562	2	∫ ω ψ2∂tξdxdy	ORG
ejpam-4931	563	1	69	CARDINAL
ejpam-4931	563	2	j. ouya	PERSON
ejpam-4931	563	3	a. ouédraogo	PERSON
ejpam-4931	564	1	j. pure	PERSON
ejpam-4931	564	2	16	CARDINAL
ejpam-4931	564	3	4	CARDINAL
ejpam-4931	564	4	2023	CARDINAL
ejpam-4931	564	5	2247-2285 2267	DATE
ejpam-4931	564	6	first	ORDINAL
ejpam-4931	564	7	three	CARDINAL
ejpam-4931	564	8	66	CARDINAL
ejpam-4931	564	9	1 2	QUANTITY
ejpam-4931	564	10	∫ ω ξψ2dxdy	ORG
ejpam-4931	565	1	∫ ω	ORG
ejpam-4931	566	1	+ 1 2	PERCENT
ejpam-4931	567	1	70	CARDINAL
ejpam-4931	567	2	fourth	ORDINAL
ejpam-4931	567	3	66	CARDINAL
ejpam-4931	567	4	• 2	CARDINAL
ejpam-4931	567	5	∫ ω ∂y∇x(ξv)ψdxdy = − ∫ ω 2∇x(ξv)∂yudxdy	ORG
ejpam-4931	568	1	− ∫	ORG
ejpam-4931	571	1	∫ ω 2 ( v∂ydivx(ξu)− v∇xξ∂yu	ORG
ejpam-4931	571	2	dxdy = ∫ ω 2	PERSON
ejpam-4931	571	3	dxdy = ∫ ω 2	PERSON
ejpam-4931	572	1	71	CARDINAL
ejpam-4931	572	2	first	ORDINAL
ejpam-4931	572	3	four	CARDINAL
ejpam-4931	572	4	66	CARDINAL
ejpam-4931	572	5	1 2	QUANTITY
ejpam-4931	572	6	∫ ω ξψ2dxdy	ORG
ejpam-4931	575	1	72	CARDINAL
ejpam-4931	575	2	second	ORDINAL
ejpam-4931	575	3	72	CARDINAL
ejpam-4931	575	4	∫ ω	ORG
ejpam-4931	576	1	+ 1 2	PERCENT
ejpam-4931	577	1	∫ ω ∇xξ	ORG
ejpam-4931	577	2	∇2 x	PERSON
ejpam-4931	577	3	4ϵ	CARDINAL
ejpam-4931	577	4	∫ ω ∇xξ	ORG
ejpam-4931	577	5	∇2 x	PERSON
ejpam-4931	577	6	ξdxdy	GPE
ejpam-4931	578	1	73	CARDINAL
ejpam-4931	580	1	66	CARDINAL
ejpam-4931	580	2	•	CARDINAL
ejpam-4931	580	3	2	CARDINAL
ejpam-4931	581	1	∫ ω	ORG
ejpam-4931	581	2	2	CARDINAL
ejpam-4931	581	3	∫ ω	ORG
ejpam-4931	582	1	ξdxdy	GPE
ejpam-4931	582	2	2	CARDINAL
ejpam-4931	582	3	∫	ORG
ejpam-4931	582	4	2	CARDINAL
ejpam-4931	582	5	∫ ω	ORG
ejpam-4931	583	1	ξdxdy	GPE
ejpam-4931	584	1	74	CARDINAL
ejpam-4931	584	2	66	CARDINAL
ejpam-4931	584	3	•	CARDINAL
ejpam-4931	584	4	∫ ω	ORG
ejpam-4931	584	5	∫ ω rξ|u|3dxdy	ORG
ejpam-4931	585	1	+ 2r	PERCENT
ejpam-4931	585	2	∫ ω |u|u∇xξdxdy	ORG
ejpam-4931	586	1	75	CARDINAL
ejpam-4931	586	2	j. ouya	PERSON
ejpam-4931	586	3	a. ouédraogo	PERSON
ejpam-4931	587	1	j. pure	PERSON
ejpam-4931	587	2	16	CARDINAL
ejpam-4931	587	3	4	CARDINAL
ejpam-4931	587	4	2023	CARDINAL
ejpam-4931	587	5	2247-2285 2268 •	DATE
ejpam-4931	588	1	∫ ω ∂y(ξ∂yu)ψdxdy	ORG
ejpam-4931	589	1	76	CARDINAL
ejpam-4931	589	2	∫ ω	ORG
ejpam-4931	589	3	ξdxdy	GPE
ejpam-4931	589	4	0	CARDINAL
ejpam-4931	590	1	26	CARDINAL
ejpam-4931	590	2	•	CARDINAL
ejpam-4931	590	3	∫ ω	ORG
ejpam-4931	591	1	∫ ω ∇xξ	ORG
ejpam-4931	591	2	∫ ω	ORG
ejpam-4931	591	3	ξdxdy	GPE
ejpam-4931	593	1	∫ ω	ORG
ejpam-4931	593	2	∫ ω	ORG
ejpam-4931	593	3	+ 2	CARDINAL
ejpam-4931	593	4	∫	ORG
ejpam-4931	593	5	2 √ ξ∇x √	QUANTITY
ejpam-4931	595	1	∫ ω	ORG
ejpam-4931	595	2	∫ ω	ORG
ejpam-4931	595	3	+ 8	CARDINAL
ejpam-4931	595	4	∫	ORG
ejpam-4931	595	5	•	CARDINAL
ejpam-4931	595	6	∫ ω	ORG
ejpam-4931	595	7	r1 ∫ ω	ORG
ejpam-4931	595	8	+ 2r1	CARDINAL
ejpam-4931	595	9	∫ ω u∇x ln	ORG
ejpam-4931	595	10	r1 ∫ ω	ORG
ejpam-4931	595	11	∫ ω u ∇xξ ξ	ORG
ejpam-4931	595	12	•	CARDINAL
ejpam-4931	595	13	∫ ω	ORG
ejpam-4931	596	1	∫ ω	ORG
ejpam-4931	597	1	2α	CARDINAL
ejpam-4931	597	2	∫ ω	ORG
ejpam-4931	597	3	xu∇x	PERSON
ejpam-4931	597	4	ξdxdy	GPE
ejpam-4931	598	1	∫ ω |∆xu|2dxdy + 2α	ORG
ejpam-4931	598	2	∫	ORG
ejpam-4931	598	3	ξdxdy	GPE
ejpam-4931	599	1	79	CARDINAL
ejpam-4931	599	2	27	CARDINAL
ejpam-4931	599	3	• −	ORG
ejpam-4931	602	1	−r2 ∫ ω ∇xξ	ORG
ejpam-4931	604	1	2r2	CARDINAL
ejpam-4931	604	2	∫ ω ∇xξ	ORG
ejpam-4931	604	3	−β∇x	ORG
ejpam-4931	604	4	ξdxdy = r2	GPE
ejpam-4931	604	5	∫ ω ξ−β n	ORG
ejpam-4931	604	6	4	CARDINAL
ejpam-4931	605	1	2 n |2dxdy	TIME
ejpam-4931	606	1	80	CARDINAL
ejpam-4931	606	2	28	CARDINAL
ejpam-4931	606	3	•	CARDINAL
ejpam-4931	607	1	δ ∫ ω	ORG
ejpam-4931	607	2	5	CARDINAL
ejpam-4931	607	3	+ 2δ	CARDINAL
ejpam-4931	607	4	∫	ORG
ejpam-4931	607	5	5	CARDINAL
ejpam-4931	607	6	2	CARDINAL
ejpam-4931	607	7	∫ ω	ORG
ejpam-4931	607	8	2	CARDINAL
ejpam-4931	608	1	∫ ω	ORG
ejpam-4931	609	1	∫ ω	ORG
ejpam-4931	609	2	xξ|2dxdy	DATE
ejpam-4931	610	1	81	CARDINAL
ejpam-4931	610	2	29	CARDINAL
ejpam-4931	611	1	∆x √ ξ√	DATE
ejpam-4931	611	2	∆x √ ξ√	DATE
ejpam-4931	611	3	∫ ω	ORG
ejpam-4931	611	4	∆x √ ξ√	DATE
ejpam-4931	611	5	∆xξdxdy j. ouya	PERSON
ejpam-4931	611	6	a. ouédraogo	PERSON
ejpam-4931	612	1	j. pure	PERSON
ejpam-4931	612	2	16	CARDINAL
ejpam-4931	612	3	4	CARDINAL
ejpam-4931	612	4	2023	CARDINAL
ejpam-4931	613	1	2247-2285 2269	DATE
ejpam-4931	614	1	∫ ω |∇x √	ORG
ejpam-4931	615	1	2	CARDINAL
ejpam-4931	615	2	∫ ω	ORG
ejpam-4931	615	3	ξ|2dxdy + k1	QUANTITY
ejpam-4931	615	4	∫ ω	ORG
ejpam-4931	615	5	ξ|2dxdy	CARDINAL
ejpam-4931	616	1	82	CARDINAL
ejpam-4931	616	2	66	CARDINAL
ejpam-4931	617	1	∫ ω	ORG
ejpam-4931	617	2	1 2	CARDINAL
ejpam-4931	617	3	ξ−β	GPE
ejpam-4931	618	1	2	CARDINAL
ejpam-4931	618	2	2	CARDINAL
ejpam-4931	618	3	∫ ω	ORG
ejpam-4931	619	1	∫ ω	ORG
ejpam-4931	620	1	r1 ∫ ω	ORG
ejpam-4931	620	2	4	CARDINAL
ejpam-4931	620	3	∫ ω |∇xξ −β/2|2dxdy + α	ORG
ejpam-4931	620	4	∫ ω |∆xu|2dxdy + ∫ ω	ORG
ejpam-4931	621	1	2	CARDINAL
ejpam-4931	621	2	2	CARDINAL
ejpam-4931	621	3	∫ ω	ORG
ejpam-4931	621	4	ξ|2	PERSON
ejpam-4931	621	5	2	CARDINAL
ejpam-4931	621	6	∫ ω	ORG
ejpam-4931	621	7	xξ|2dxdy +	DATE
ejpam-4931	623	1	2	CARDINAL
ejpam-4931	623	2	∫ ω	ORG
ejpam-4931	623	3	ξdxdy	GPE
ejpam-4931	624	1	2α	CARDINAL
ejpam-4931	624	2	∫	ORG
ejpam-4931	624	3	ξdxdy	GPE
ejpam-4931	624	4	∫ ω ∇xξ	ORG
ejpam-4931	624	5	∇2 x	PERSON
ejpam-4931	624	6	∫ ω ∇xξ	ORG
ejpam-4931	624	7	∇2 x	PERSON
ejpam-4931	624	8	ξdxdy	GPE
ejpam-4931	625	1	2r	CARDINAL
ejpam-4931	625	2	∫ ω	ORG
ejpam-4931	625	3	2r1	CARDINAL
ejpam-4931	625	4	∫ ω u ∇xξ ξ	ORG
ejpam-4931	626	1	83	CARDINAL
ejpam-4931	626	2	0	CARDINAL
ejpam-4931	627	1	2	CARDINAL
ejpam-4931	627	2	∫ ω	ORG
ejpam-4931	627	3	ξdxdy = ∫ ω	ORG
ejpam-4931	627	4	∂jξ	PERSON
ejpam-4931	627	5	dxdy = ∫ ω	ORG
ejpam-4931	627	6	∂iξ∂jξ	PRODUCT
ejpam-4931	628	1	− ∂i∂jui)∂jξ	ORG
ejpam-4931	628	2	dxdy = ∫ ω	ORG
ejpam-4931	628	3	∂i∂iuj∂jξ −	PERSON
ejpam-4931	628	4	∂i∂iuj∂jξ − ∂j∂jui∂iξ)dxdy =	PERSON
ejpam-4931	628	5	0	CARDINAL
ejpam-4931	628	6	84	CARDINAL
ejpam-4931	628	7	∫ ω u ∇xξ ξ	ORG
ejpam-4931	628	8	ω divx(ξu	PERSON
ejpam-4931	628	9	2r1	CARDINAL
ejpam-4931	628	10	∫ ω ∂tξ	ORG
ejpam-4931	628	11	2r1	CARDINAL
ejpam-4931	628	12	∫ ω	ORG
ejpam-4931	628	13	ξdxdy	GPE
ejpam-4931	630	1	2r1ϵ	ORDINAL
ejpam-4931	631	1	2r1	CARDINAL
ejpam-4931	631	2	∫ ω	ORG
ejpam-4931	631	3	ξdxdy	GPE
ejpam-4931	632	1	2r1ϵ	ORDINAL
ejpam-4931	632	2	∫ ω	ORG
ejpam-4931	633	1	85	CARDINAL
ejpam-4931	633	2	j. ouya	PERSON
ejpam-4931	633	3	a. ouédraogo	PERSON
ejpam-4931	634	1	j. pure	PERSON
ejpam-4931	634	2	16	CARDINAL
ejpam-4931	634	3	4	CARDINAL
ejpam-4931	634	4	2023	CARDINAL
ejpam-4931	634	5	2247-2285 2270	DATE
ejpam-4931	634	6	84	CARDINAL
ejpam-4931	634	7	85	CARDINAL
ejpam-4931	634	8	83	CARDINAL
ejpam-4931	634	9	ω	CARDINAL
ejpam-4931	634	10	∫	ORG
ejpam-4931	634	11	∫	ORG
ejpam-4931	635	1	∫ ω	ORG
ejpam-4931	637	1	∫ ω	ORG
ejpam-4931	638	1	∫ ω	ORG
ejpam-4931	639	1	∫	ORG
ejpam-4931	639	2	∫ ω	ORG
ejpam-4931	639	3	2	CARDINAL
ejpam-4931	640	1	∫	ORG
ejpam-4931	642	1	2r1ϵ	TIME
ejpam-4931	645	1	≤ ∫ ω ( ξ0u 2	ORG
ejpam-4931	645	2	2	CARDINAL
ejpam-4931	646	1	dt+ e0	PERSON
ejpam-4931	646	2	86	CARDINAL
ejpam-4931	646	3	59	CARDINAL
ejpam-4931	647	1	86	CARDINAL
ejpam-4931	648	1	•	CARDINAL
ejpam-4931	648	2	∫	ORG
ejpam-4931	648	3	0	CARDINAL
ejpam-4931	649	1	−2α ∫	ORG
ejpam-4931	650	1	−2α ∫	ORG
ejpam-4931	651	1	xξ|+	ORG
ejpam-4931	651	2	ξ−2|∇xξ||∇2 xξ|+ ξ−3|∇xξ|3	PRODUCT
ejpam-4931	652	1	√ α∆xu∥l2(l2(ω	DATE
ejpam-4931	653	1	∥ξ−1∥l∞(l∞(ω))∥∇3	ORG
ejpam-4931	656	1	√ α∆xu∥l2(l2(ω	DATE
ejpam-4931	657	1	3	CARDINAL
ejpam-4931	659	1	87	CARDINAL
ejpam-4931	659	2	∫	ORG
ejpam-4931	660	1	2ϵ	CARDINAL
ejpam-4931	661	1	∫	ORG
ejpam-4931	662	1	∫ ω ∇xξ	ORG
ejpam-4931	662	2	∇2 x	PERSON
ejpam-4931	663	1	∫ ω |∇xξ	ORG
ejpam-4931	667	1	2	CARDINAL
ejpam-4931	667	2	3 2 √ ξ∇x	QUANTITY
ejpam-4931	667	3	2	CARDINAL
ejpam-4931	667	4	5 2 √ ξu	DATE
ejpam-4931	667	5	3 2 l∞(l∞(ω))∥∇xξ∥l∞(l∞(ω))∥∇xξ∥l2(l2(ω))∥ √ ξ∇xu∥l2(l2(ω	QUANTITY
ejpam-4931	667	6	j. ouya	PERSON
ejpam-4931	667	7	a. ouédraogo	PERSON
ejpam-4931	668	1	j. pure	PERSON
ejpam-4931	668	2	16	CARDINAL
ejpam-4931	668	3	4	CARDINAL
ejpam-4931	668	4	2023	CARDINAL
ejpam-4931	668	5	2247	CARDINAL
ejpam-4931	668	6	r2	PERSON
ejpam-4931	668	7	r2	GPE
ejpam-4931	668	8	88	CARDINAL
ejpam-4931	669	1	•	CARDINAL
ejpam-4931	669	2	∫	ORG
ejpam-4931	669	3	4ϵ	CARDINAL
ejpam-4931	669	4	∫	ORG
ejpam-4931	671	1	∇2 x	PERSON
ejpam-4931	671	2	−2ϵ ∫ t 0 ∫ ω ∆xξ	ORG
ejpam-4931	671	3	ξ|2dxdydt ≤ 2ϵ∥1	QUANTITY
ejpam-4931	672	1	r2	PERSON
ejpam-4931	673	1	89	CARDINAL
ejpam-4931	673	2	•	CARDINAL
ejpam-4931	673	3	∫	ORG
ejpam-4931	673	4	0	CARDINAL
ejpam-4931	674	1	2ϵ	CARDINAL
ejpam-4931	675	1	∫	ORG
ejpam-4931	677	1	2∇x	CARDINAL
ejpam-4931	677	2	ξ)dxdydt	CARDINAL
ejpam-4931	677	3	2ϵ∥∇x∆xξ∥l2(l2(ω))∥ √	DATE
ejpam-4931	679	1	r2	PERSON
ejpam-4931	679	2	90	CARDINAL
ejpam-4931	679	3	•	CARDINAL
ejpam-4931	679	4	∫	ORG
ejpam-4931	682	1	2rϵ	ORDINAL
ejpam-4931	684	1	|u| ∇xu	GPE
ejpam-4931	684	2	dxdydt ≤ c∥ √	PERSON
ejpam-4931	687	1	91	CARDINAL
ejpam-4931	687	2	87)-(91	CARDINAL
ejpam-4931	687	3	86	CARDINAL
ejpam-4931	687	4	65	CARDINAL
ejpam-4931	688	1	0	CARDINAL
ejpam-4931	689	1	j. ouya	PERSON
ejpam-4931	689	2	a. ouédraogo	PERSON
ejpam-4931	690	1	j. pure	PERSON
ejpam-4931	690	2	16	CARDINAL
ejpam-4931	690	3	4	CARDINAL
ejpam-4931	690	4	2023	CARDINAL
ejpam-4931	690	5	2247-2285 2272 5	DATE
ejpam-4931	691	1	5.1	CARDINAL
ejpam-4931	692	1	1	CARDINAL
ejpam-4931	692	2	1	CARDINAL
ejpam-4931	695	1	60	CARDINAL
ejpam-4931	696	1	59	CARDINAL
ejpam-4931	696	2	√ ξα,ϵuα,ϵ	PERSON
ejpam-4931	696	3	∈	ORG
ejpam-4931	696	4	0	CARDINAL
ejpam-4931	696	5	∈	ORG
ejpam-4931	696	6	0	CARDINAL
ejpam-4931	696	7	√ ξα,ϵdx(uα,ϵ	PERSON
ejpam-4931	696	8	∈	ORG
ejpam-4931	696	9	0	CARDINAL
ejpam-4931	696	10	√ ξα,ϵ∂yuα,ϵ	CARDINAL
ejpam-4931	696	11	∈	ORG
ejpam-4931	696	12	0	CARDINAL
ejpam-4931	696	13	√	PERSON
ejpam-4931	696	14	∈	ORG
ejpam-4931	696	15	0	CARDINAL
ejpam-4931	696	16	∈	ORG
ejpam-4931	696	17	0	CARDINAL
ejpam-4931	696	18	∈	ORG
ejpam-4931	696	19	0	CARDINAL
ejpam-4931	697	1	1 3	CARDINAL
ejpam-4931	697	2	∈	ORG
ejpam-4931	697	3	0	CARDINAL
ejpam-4931	698	1	92	CARDINAL
ejpam-4931	698	2	65	CARDINAL
ejpam-4931	698	3	∈	ORG
ejpam-4931	698	4	0	CARDINAL
ejpam-4931	698	5	∈	ORG
ejpam-4931	698	6	0	CARDINAL
ejpam-4931	699	1	∈	ORG
ejpam-4931	699	2	0	CARDINAL
ejpam-4931	699	3	√	PERSON
ejpam-4931	699	4	∈	ORG
ejpam-4931	699	5	0	CARDINAL
ejpam-4931	699	6	√ ξα,ϵ∂yuα,ϵ	CARDINAL
ejpam-4931	699	7	∈	ORG
ejpam-4931	699	8	0	CARDINAL
ejpam-4931	699	9	∈	ORG
ejpam-4931	699	10	0	CARDINAL
ejpam-4931	699	11	√ ξα,ϵ	CARDINAL
ejpam-4931	699	12	∈	ORG
ejpam-4931	699	13	0	CARDINAL
ejpam-4931	700	1	93	CARDINAL
ejpam-4931	700	2	5	CARDINAL
ejpam-4931	700	3	√ ξα,ϵ	CARDINAL
ejpam-4931	700	4	∈	ORG
ejpam-4931	700	5	0	CARDINAL
ejpam-4931	701	1	∈ l4	ORG
ejpam-4931	701	2	0	CARDINAL
ejpam-4931	703	1	12	CARDINAL
ejpam-4931	704	1	60	CARDINAL
ejpam-4931	704	2	92	CARDINAL
ejpam-4931	704	3	93	CARDINAL
ejpam-4931	704	4	∥∂t √	PERSON
ejpam-4931	704	5	0,t	CARDINAL
ejpam-4931	704	6	w−1	ORG
ejpam-4931	704	7	32	DATE
ejpam-4931	705	1	0,t	CARDINAL
ejpam-4931	706	1	k ∥ξα,ϵ∥l2	PERSON
ejpam-4931	706	2	0,t	CARDINAL
ejpam-4931	707	1	0,t	CARDINAL
ejpam-4931	708	1	l 5 3	DATE
ejpam-4931	708	2	k ∥ξα,ϵuα,ϵ∥	ORG
ejpam-4931	708	3	0,t	CARDINAL
ejpam-4931	708	4	w 1,	DATE
ejpam-4931	708	5	32	DATE
ejpam-4931	709	1	∥∂t(ξα,ϵuα,ϵ)∥l2	PERSON
ejpam-4931	709	2	0,t	CARDINAL
ejpam-4931	710	1	94	CARDINAL
ejpam-4931	710	2	j. ouya	PERSON
ejpam-4931	710	3	a. ouédraogo	PERSON
ejpam-4931	711	1	j. pure	PERSON
ejpam-4931	711	2	16	CARDINAL
ejpam-4931	711	3	4	CARDINAL
ejpam-4931	711	4	2023	CARDINAL
ejpam-4931	711	5	2247	CARDINAL
ejpam-4931	712	1	12	CARDINAL
ejpam-4931	712	2	6	CARDINAL
ejpam-4931	712	3	1 and 12	CARDINAL
ejpam-4931	712	4	−→ √	PERSON
ejpam-4931	712	5	0	CARDINAL
ejpam-4931	712	6	0	CARDINAL
ejpam-4931	713	1	⇀	PERSON
ejpam-4931	713	2	0	CARDINAL
ejpam-4931	713	3	⇀	PERSON
ejpam-4931	713	4	0	CARDINAL
ejpam-4931	713	5	⇀ √	PERSON
ejpam-4931	713	6	0	CARDINAL
ejpam-4931	713	7	0	CARDINAL
ejpam-4931	714	1	3	CARDINAL
ejpam-4931	714	2	ξ−β	GPE
ejpam-4931	714	3	0	CARDINAL
ejpam-4931	714	4	√ ξα,ϵuα,ϵ −→ √	PERSON
ejpam-4931	714	5	0	CARDINAL
ejpam-4931	715	1	95	CARDINAL
ejpam-4931	715	2	√ ξα,ϵ	PERSON
ejpam-4931	715	3	−→ √	PERSON
ejpam-4931	715	4	ξ−β	GPE
ejpam-4931	716	1	60	CARDINAL
ejpam-4931	717	1	φ ∈	PERSON
ejpam-4931	717	2	0	CARDINAL
ejpam-4931	720	1	96	CARDINAL
ejpam-4931	721	1	∫ ω	ORG
ejpam-4931	722	1	∫ ω	ORG
ejpam-4931	725	1	0,t	CARDINAL
ejpam-4931	726	1	0,t	CARDINAL
ejpam-4931	726	2	0,t	CARDINAL
ejpam-4931	727	1	+ ϵ∥∇xξα,ϵ∥l2	DATE
ejpam-4931	727	2	0,t	CARDINAL
ejpam-4931	728	1	0,t	CARDINAL
ejpam-4931	729	1	0,t	CARDINAL
ejpam-4931	730	1	0 (	CARDINAL
ejpam-4931	730	2	97	CARDINAL
ejpam-4931	732	1	j. ouya	PERSON
ejpam-4931	732	2	a. ouédraogo	PERSON
ejpam-4931	733	1	j. pure	PERSON
ejpam-4931	733	2	16	CARDINAL
ejpam-4931	733	3	4	CARDINAL
ejpam-4931	733	4	2023	CARDINAL
ejpam-4931	733	5	2247	CARDINAL
ejpam-4931	734	1	0,t	CARDINAL
ejpam-4931	734	2	0,t	CARDINAL
ejpam-4931	736	1	98	CARDINAL
ejpam-4931	736	2	60	CARDINAL
ejpam-4931	736	3	0	CARDINAL
ejpam-4931	736	4	∂t(ξu	ORG
ejpam-4931	737	1	2divx	TIME
ejpam-4931	739	1	+ k1ξ∇x	PERSON
ejpam-4931	739	2	∆x √ ξ√	DATE
ejpam-4931	740	1	99	CARDINAL
ejpam-4931	740	2	0	CARDINAL
ejpam-4931	740	3	× ω	ORG
ejpam-4931	741	1	59	CARDINAL
ejpam-4931	741	2	65	CARDINAL
ejpam-4931	741	3	e(ξ	GPE
ejpam-4931	742	1	∫ ω u2dxdt+	ORG
ejpam-4931	742	2	∫ ω ξ|u|3dxdt + ∫	ORG
ejpam-4931	742	3	∫ ω 2ξ|dx(u)|2dxdt+ ∫	ORG
ejpam-4931	742	4	∫	ORG
ejpam-4931	742	5	100) and∫	MONEY
ejpam-4931	743	1	1 2	CARDINAL
ejpam-4931	743	2	2∇x	CARDINAL
ejpam-4931	744	1	∫	ORG
ejpam-4931	744	2	∫	ORG
ejpam-4931	744	3	∫ ω	ORG
ejpam-4931	744	4	∫ ω |∇xξ −β/2|2dxdydt+ r1 ∫	ORG
ejpam-4931	746	1	2δ	CARDINAL
ejpam-4931	747	1	∫ ω	ORG
ejpam-4931	747	2	2	CARDINAL
ejpam-4931	748	1	∫	ORG
ejpam-4931	748	2	∫ ω (	ORG
ejpam-4931	748	3	2	CARDINAL
ejpam-4931	748	4	101	CARDINAL
ejpam-4931	748	5	99	CARDINAL
ejpam-4931	749	1	5.1	CARDINAL
ejpam-4931	750	1	0	CARDINAL
ejpam-4931	750	2	0	CARDINAL
ejpam-4931	750	3	∂t(ξu	ORG
ejpam-4931	752	1	2divx	TIME
ejpam-4931	754	1	+ k1ξ∇x	PERSON
ejpam-4931	754	2	∆x √ ξ√	DATE
ejpam-4931	755	1	102	CARDINAL
ejpam-4931	756	1	0	CARDINAL
ejpam-4931	757	1	100	CARDINAL
ejpam-4931	757	2	101	CARDINAL
ejpam-4931	758	1	j. ouya	PERSON
ejpam-4931	758	2	a. ouédraogo	PERSON
ejpam-4931	759	1	j. pure	PERSON
ejpam-4931	759	2	16	CARDINAL
ejpam-4931	759	3	4	CARDINAL
ejpam-4931	759	4	2023	CARDINAL
ejpam-4931	759	5	2247	CARDINAL
ejpam-4931	761	1	ξr2,δ	ORG
ejpam-4931	761	2	ur2,δ	ORG
ejpam-4931	761	3	vr2,δ	GPE
ejpam-4931	762	1	5.1	CARDINAL
ejpam-4931	762	2	√ ξr2,δur2,δ ∈	PERSON
ejpam-4931	762	3	0	CARDINAL
ejpam-4931	762	4	√ ξr2,δdx(ur2,,δ	PERSON
ejpam-4931	762	5	∈	ORG
ejpam-4931	762	6	0	CARDINAL
ejpam-4931	762	7	∈	ORG
ejpam-4931	762	8	0	CARDINAL
ejpam-4931	762	9	√ ξr2,δ∇x √	PERSON
ejpam-4931	762	10	ξr2,δ ∈	PERSON
ejpam-4931	762	11	0	CARDINAL
ejpam-4931	762	12	√ δξr2,δ ∈	PERSON
ejpam-4931	762	13	0	CARDINAL
ejpam-4931	762	14	√ δξr2,δ ∈	PERSON
ejpam-4931	762	15	0	CARDINAL
ejpam-4931	762	16	∈	ORG
ejpam-4931	762	17	0	CARDINAL
ejpam-4931	762	18	1 3	DATE
ejpam-4931	762	19	r2,δ	GPE
ejpam-4931	762	20	0	CARDINAL
ejpam-4931	762	21	0	CARDINAL
ejpam-4931	762	22	√ k1 √ ξr2,δ ∈	PERSON
ejpam-4931	762	23	0	CARDINAL
ejpam-4931	762	24	4	CARDINAL
ejpam-4931	762	25	r2,δ ∈ l4	ORG
ejpam-4931	762	26	0	CARDINAL
ejpam-4931	762	27	xξr2,δ ∈	PERSON
ejpam-4931	762	28	0	CARDINAL
ejpam-4931	762	29	r2,δ ∈	PERSON
ejpam-4931	762	30	0	CARDINAL
ejpam-4931	762	31	√ ξr2,δ∂yvr2,δ ∈	PERSON
ejpam-4931	762	32	0	CARDINAL
ejpam-4931	762	33	r2,δ ∈	PERSON
ejpam-4931	762	34	0	CARDINAL
ejpam-4931	762	35	0	CARDINAL
ejpam-4931	763	1	103	CARDINAL
ejpam-4931	763	2	46	CARDINAL
ejpam-4931	764	1	12	CARDINAL
ejpam-4931	767	1	two	CARDINAL
ejpam-4931	768	1	13	CARDINAL
ejpam-4931	769	1	5.1	CARDINAL
ejpam-4931	769	2	r2 ∫	GPE
ejpam-4931	770	1	∫ ω ξ−β r2	ORG
ejpam-4931	772	1	18	CARDINAL
ejpam-4931	772	2	19	CARDINAL
ejpam-4931	776	1	1	CARDINAL
ejpam-4931	778	1	104	CARDINAL
ejpam-4931	778	2	7−→	CARDINAL
ejpam-4931	778	3	1y	CARDINAL
ejpam-4931	781	1	1	CARDINAL
ejpam-4931	782	1	1	CARDINAL
ejpam-4931	784	1	105	CARDINAL
ejpam-4931	785	1	0	CARDINAL
ejpam-4931	786	1	that∣∣{x	ORG
ejpam-4931	787	1	0	CARDINAL
ejpam-4931	787	2	106	CARDINAL
ejpam-4931	787	3	j. ouya	PERSON
ejpam-4931	787	4	a. ouédraogo	PERSON
ejpam-4931	788	1	j. pure	PERSON
ejpam-4931	788	2	16	CARDINAL
ejpam-4931	788	3	4	CARDINAL
ejpam-4931	788	4	2023	CARDINAL
ejpam-4931	788	5	2247	CARDINAL
ejpam-4931	788	6	ξr2 −→ ξ	ORG
ejpam-4931	788	7	0	CARDINAL
ejpam-4931	789	1	ξr2 −→ ξ	ORG
ejpam-4931	790	1	106	CARDINAL
ejpam-4931	791	1	0	CARDINAL
ejpam-4931	792	1	0	CARDINAL
ejpam-4931	793	1	107	CARDINAL
ejpam-4931	793	2	3	CARDINAL
ejpam-4931	793	3	r2 ∥ l 5 3	PERSON
ejpam-4931	793	4	l 5 3	DATE
ejpam-4931	793	5	2 5	CARDINAL
ejpam-4931	793	6	0,t	CARDINAL
ejpam-4931	794	1	3 5	CARDINAL
ejpam-4931	794	2	0,t	CARDINAL
ejpam-4931	795	1	108	CARDINAL
ejpam-4931	795	2	107	CARDINAL
ejpam-4931	795	3	2	CARDINAL
ejpam-4931	796	1	0	CARDINAL
ejpam-4931	797	1	0	CARDINAL
ejpam-4931	798	1	14	CARDINAL
ejpam-4931	799	1	5.1	CARDINAL
ejpam-4931	799	2	φ δ	ORG
ejpam-4931	801	1	∫ ω	ORG
ejpam-4931	802	1	5	CARDINAL
ejpam-4931	803	1	109	CARDINAL
ejpam-4931	804	1	103	CARDINAL
ejpam-4931	804	2	9 11	CARDINAL
ejpam-4931	805	1	110	CARDINAL
ejpam-4931	805	2	∫ ω	ORG
ejpam-4931	806	1	11 9	CARDINAL
ejpam-4931	806	2	4 9	CARDINAL
ejpam-4931	806	3	∫	ORG
ejpam-4931	806	4	0	CARDINAL
ejpam-4931	807	1	δ ∫ ω	ORG
ejpam-4931	807	2	xξδ|2dxdydt	GPE
ejpam-4931	808	1	111	CARDINAL
ejpam-4931	808	2	9	CARDINAL
ejpam-4931	808	3	∈	ORG
ejpam-4931	808	4	0	CARDINAL
ejpam-4931	809	1	φ ∈	PERSON
ejpam-4931	809	2	0	CARDINAL
ejpam-4931	809	3	ω	ORDINAL
ejpam-4931	809	4	δ ∫	ORG
ejpam-4931	810	1	∫ ω	ORG
ejpam-4931	810	2	5	CARDINAL
ejpam-4931	811	1	∫ ω	ORG
ejpam-4931	811	2	3 xξδdxdydt	QUANTITY
ejpam-4931	811	3	∫ ω	ORG
ejpam-4931	813	1	112	CARDINAL
ejpam-4931	813	2	j. ouya	PERSON
ejpam-4931	813	3	a. ouédraogo	PERSON
ejpam-4931	814	1	j. pure	PERSON
ejpam-4931	814	2	16	CARDINAL
ejpam-4931	814	3	4	CARDINAL
ejpam-4931	814	4	2023	CARDINAL
ejpam-4931	814	5	2247	CARDINAL
ejpam-4931	815	1	3	CARDINAL
ejpam-4931	816	1	9	CARDINAL
ejpam-4931	816	2	l 22 9	DATE
ejpam-4931	816	3	0	CARDINAL
ejpam-4931	816	4	113	CARDINAL
ejpam-4931	817	1	δ ∫	ORG
ejpam-4931	819	1	5	CARDINAL
ejpam-4931	822	1	∫ ω	ORG
ejpam-4931	822	2	5	CARDINAL
ejpam-4931	823	1	114	CARDINAL
ejpam-4931	825	1	102	CARDINAL
ejpam-4931	826	1	hence	ORG
ejpam-4931	826	2	∂tξ + divx(ξu	PERSON
ejpam-4931	826	3	0 ∂t(ξu	PERCENT
ejpam-4931	827	1	2divx	TIME
ejpam-4931	829	1	+ k1ξ∇x	PERSON
ejpam-4931	829	2	∆x √ ξ√	DATE
ejpam-4931	829	3	115	CARDINAL
ejpam-4931	829	4	0	CARDINAL
ejpam-4931	829	5	× ω	ORG
ejpam-4931	830	1	116	CARDINAL
ejpam-4931	830	2	117	CARDINAL
ejpam-4931	830	3	100	CARDINAL
ejpam-4931	830	4	101	CARDINAL
ejpam-4931	831	1	1 2	CARDINAL
ejpam-4931	831	2	dxdy + r1 ∫	ORG
ejpam-4931	831	3	∫ ω	ORG
ejpam-4931	835	1	∫ ω	ORG
ejpam-4931	836	1	g ∫	ORG
ejpam-4931	838	1	≤ ∫ ω	ORG
ejpam-4931	838	2	1 2	CARDINAL
ejpam-4931	838	3	116	CARDINAL
ejpam-4931	838	4	ω	CARDINAL
ejpam-4931	838	5	1 2	CARDINAL
ejpam-4931	838	6	2∇x	CARDINAL
ejpam-4931	838	7	∫	ORG
ejpam-4931	838	8	∫	ORG
ejpam-4931	838	9	∫ ω	ORG
ejpam-4931	839	1	∫ ω u2dxdydt+	ORG
ejpam-4931	842	1	ξ|2dxdydt j. ouya	PERSON
ejpam-4931	842	2	a. ouédraogo	PERSON
ejpam-4931	843	1	j. pure	PERSON
ejpam-4931	843	2	16	CARDINAL
ejpam-4931	843	3	4	CARDINAL
ejpam-4931	843	4	2023	CARDINAL
ejpam-4931	843	5	2247-2285 2278	DATE
ejpam-4931	843	6	∫	ORG
ejpam-4931	844	1	∫ ω (	ORG
ejpam-4931	845	1	2	CARDINAL
ejpam-4931	845	2	117	CARDINAL
ejpam-4931	846	1	5.2	CARDINAL
ejpam-4931	847	1	0	CARDINAL
ejpam-4931	847	2	115	CARDINAL
ejpam-4931	848	1	u	ORG
ejpam-4931	848	2	w	GPE
ejpam-4931	848	3	116	CARDINAL
ejpam-4931	848	4	117	CARDINAL
ejpam-4931	849	1	5.1.3	DATE
ejpam-4931	850	1	ξk1,r1	ORDINAL
ejpam-4931	850	2	uk1,r1	ORG
ejpam-4931	851	1	116	CARDINAL
ejpam-4931	851	2	117	CARDINAL
ejpam-4931	851	3	ξk1,r1uk1,r1	PERSON
ejpam-4931	851	4	0	CARDINAL
ejpam-4931	851	5	0	CARDINAL
ejpam-4931	851	6	0	CARDINAL
ejpam-4931	851	7	√ ξk1,r1∂yuk1,r1	PERSON
ejpam-4931	851	8	0	CARDINAL
ejpam-4931	851	9	1 3	CARDINAL
ejpam-4931	851	10	k1,r1	ORG
ejpam-4931	851	11	∈	ORG
ejpam-4931	851	12	0	CARDINAL
ejpam-4931	851	13	√ ξk1,r1∇xuk1,r1 ∈	PERSON
ejpam-4931	851	14	0	CARDINAL
ejpam-4931	851	15	∈	ORG
ejpam-4931	851	16	0	CARDINAL
ejpam-4931	851	17	0	CARDINAL
ejpam-4931	851	18	√ ξk1,r1∂yvk1,r1 ∈	PERSON
ejpam-4931	851	19	0	CARDINAL
ejpam-4931	851	20	√ k1 √ ξk1,r1 ∈	PERSON
ejpam-4931	851	21	0	CARDINAL
ejpam-4931	851	22	0	CARDINAL
ejpam-4931	851	23	4	CARDINAL
ejpam-4931	851	24	k1,r1 ∈ l4	ORG
ejpam-4931	851	25	0	CARDINAL
ejpam-4931	852	1	118	CARDINAL
ejpam-4931	852	2	15	CARDINAL
ejpam-4931	854	1	√ ξk1,r1	ORG
ejpam-4931	854	2	5.2	CARDINAL
ejpam-4931	854	3	0	CARDINAL
ejpam-4931	854	4	√ ξk1,r1)k1,r1	PERSON
ejpam-4931	854	5	0	CARDINAL
ejpam-4931	855	1	ξk1,r1 −→ √	ORG
ejpam-4931	855	2	a.e.	GPE
ejpam-4931	855	3	0	CARDINAL
ejpam-4931	856	1	ξk1,r1 −→ ξ	ORG
ejpam-4931	856	2	0	CARDINAL
ejpam-4931	856	3	1 ≤	MONEY
ejpam-4931	856	4	3	CARDINAL
ejpam-4931	858	1	0	CARDINAL
ejpam-4931	858	2	0	CARDINAL
ejpam-4931	860	1	2 √ ξk1,r1divx(uk1,r1)− uk1,r1	TIME
ejpam-4931	862	1	1 2 √	CARDINAL
ejpam-4931	862	2	j. ouya	PERSON
ejpam-4931	862	3	a. ouédraogo	PERSON
ejpam-4931	863	1	j. pure	PERSON
ejpam-4931	863	2	16	CARDINAL
ejpam-4931	863	3	4	CARDINAL
ejpam-4931	863	4	2023	CARDINAL
ejpam-4931	863	5	2247	CARDINAL
ejpam-4931	863	6	1 2 √ ξk1,r1divx(uk1,r1)− divx	TIME
ejpam-4931	864	1	119	CARDINAL
ejpam-4931	864	2	∂tξk1,r1	PERSON
ejpam-4931	865	1	−divx(ξk1,r1uk1,r1	PERSON
ejpam-4931	866	1	1 2	CARDINAL
ejpam-4931	866	2	ξk1,r1 ∂tξk1,r1	GPE
ejpam-4931	866	3	2	CARDINAL
ejpam-4931	868	1	ξk1,r1	CARDINAL
ejpam-4931	872	1	2 √ ξk1,r1divx(uk1,r1)− uk1,r1∇x	QUANTITY
ejpam-4931	874	1	1 2 √ ξk1,r1∂yvk1,r1	DATE
ejpam-4931	875	1	√ ξk1,r1divx(uk1,r1	PERSON
ejpam-4931	875	2	119	CARDINAL
ejpam-4931	876	1	0	CARDINAL
ejpam-4931	877	1	1	CARDINAL
ejpam-4931	877	2	√ ξk1,r1	ORG
ejpam-4931	878	1	0	CARDINAL
ejpam-4931	878	2	0	CARDINAL
ejpam-4931	879	1	√ ξk1,r1 −→ √	ORG
ejpam-4931	879	2	a.e.	GPE
ejpam-4931	879	3	√ ξk1,r1	ORG
ejpam-4931	879	4	0	CARDINAL
ejpam-4931	879	5	ξk1,r1 ∈	ORG
ejpam-4931	879	6	0	CARDINAL
ejpam-4931	880	1	ξk1,r1uk1,r1	CARDINAL
ejpam-4931	881	1	0	CARDINAL
ejpam-4931	881	2	l 3 2	DATE
ejpam-4931	882	1	120	CARDINAL
ejpam-4931	882	2	0	CARDINAL
ejpam-4931	882	3	w−1	ORG
ejpam-4931	882	4	3 2	CARDINAL
ejpam-4931	883	1	with√ ξk1,r1∂yvk1,r1	ORG
ejpam-4931	883	2	∈	ORG
ejpam-4931	883	3	0	CARDINAL
ejpam-4931	883	4	√ ξk1,r1 ∈	PERSON
ejpam-4931	883	5	0	CARDINAL
ejpam-4931	883	6	w−1	ORG
ejpam-4931	883	7	3 2	CARDINAL
ejpam-4931	884	1	√ ξk1,r1 ∈	ORG
ejpam-4931	884	2	0	CARDINAL
ejpam-4931	884	3	l 3 2	DATE
ejpam-4931	885	1	121	CARDINAL
ejpam-4931	885	2	ξk1,r1	ORG
ejpam-4931	885	3	0	CARDINAL
ejpam-4931	885	4	w 1	DATE
ejpam-4931	885	5	3 2	CARDINAL
ejpam-4931	886	1	1	CARDINAL
ejpam-4931	886	2	ξk1,r1 −→	ORG
ejpam-4931	886	3	0	CARDINAL
ejpam-4931	887	1	3	CARDINAL
ejpam-4931	887	2	122	CARDINAL
ejpam-4931	889	1	16	CARDINAL
ejpam-4931	891	1	ξk1,r1uk1,r1	ORG
ejpam-4931	891	2	0	CARDINAL
ejpam-4931	891	3	3 2	CARDINAL
ejpam-4931	893	1	0	CARDINAL
ejpam-4931	894	1	j. ouya	PERSON
ejpam-4931	894	2	a. ouédraogo	PERSON
ejpam-4931	895	1	j. pure	PERSON
ejpam-4931	895	2	16	CARDINAL
ejpam-4931	895	3	4	CARDINAL
ejpam-4931	895	4	2023	CARDINAL
ejpam-4931	895	5	2247	CARDINAL
ejpam-4931	897	1	2∇x	CARDINAL
ejpam-4931	900	1	ξk1,r1∇xuk1,r1 ∈	PERSON
ejpam-4931	900	2	0	CARDINAL
ejpam-4931	901	1	0	CARDINAL
ejpam-4931	901	2	l 3 2	DATE
ejpam-4931	901	3	120	CARDINAL
ejpam-4931	901	4	ξk1,r1uk1,r1	ORG
ejpam-4931	901	5	0	CARDINAL
ejpam-4931	902	1	0	CARDINAL
ejpam-4931	902	2	0	CARDINAL
ejpam-4931	904	1	2divx	TIME
ejpam-4931	908	1	xξk1,r1 −	PERSON
ejpam-4931	910	1	⊗ uk1,r1	PERSON
ejpam-4931	913	1	− rξk1,r1uk1,r1	PERSON
ejpam-4931	914	1	123	CARDINAL
ejpam-4931	914	2	118	CARDINAL
ejpam-4931	914	3	ξk1,r1uk1,r1 ⊗ uk1,r1	ORG
ejpam-4931	915	1	0	CARDINAL
ejpam-4931	915	2	0	CARDINAL
ejpam-4931	916	1	0	CARDINAL
ejpam-4931	916	2	l 3 2	DATE
ejpam-4931	916	3	0	CARDINAL
ejpam-4931	916	4	l 3 2	DATE
ejpam-4931	917	1	⊗ uk1,r1	PERSON
ejpam-4931	917	2	0	CARDINAL
ejpam-4931	917	3	0	CARDINAL
ejpam-4931	917	4	∈	ORG
ejpam-4931	917	5	0	CARDINAL
ejpam-4931	917	6	∈	ORG
ejpam-4931	917	7	0	CARDINAL
ejpam-4931	917	8	k1ξk1,r1∇x	PERSON
ejpam-4931	918	1	k1∇x	TIME
ejpam-4931	919	1	0	CARDINAL
ejpam-4931	920	1	l 2	DATE
ejpam-4931	920	2	0	CARDINAL
ejpam-4931	921	1	1	CARDINAL
ejpam-4931	921	2	16	CARDINAL
ejpam-4931	922	1	1	CARDINAL
ejpam-4931	923	1	u(t	ORG
ejpam-4931	923	2	m(t	PERSON
ejpam-4931	924	1	0	CARDINAL
ejpam-4931	924	2	1.5	CARDINAL
ejpam-4931	925	1	j. ouya	PERSON
ejpam-4931	925	2	a. ouédraogo	PERSON
ejpam-4931	926	1	j. pure	PERSON
ejpam-4931	926	2	16	CARDINAL
ejpam-4931	926	3	4	CARDINAL
ejpam-4931	926	4	2023	CARDINAL
ejpam-4931	926	5	2247-2285 2281	DATE
ejpam-4931	926	6	14	CARDINAL
ejpam-4931	926	7	16	DATE
ejpam-4931	926	8	8	CARDINAL
ejpam-4931	927	1	ξk1,r1uk1,r1 −→ √	PERSON
ejpam-4931	927	2	0	CARDINAL
ejpam-4931	928	1	124	CARDINAL
ejpam-4931	928	2	17	CARDINAL
ejpam-4931	929	1	k1ξk1,r1∇x	PERSON
ejpam-4931	930	1	φ ∈	PERSON
ejpam-4931	930	2	0	CARDINAL
ejpam-4931	930	3	ω	ORDINAL
ejpam-4931	931	1	125)∫	CARDINAL
ejpam-4931	931	2	∫	ORG
ejpam-4931	936	1	127	CARDINAL
ejpam-4931	937	1	φ ∈	PERSON
ejpam-4931	937	2	0	CARDINAL
ejpam-4931	937	3	ω	ORG
ejpam-4931	938	1	firstly	ORDINAL
ejpam-4931	938	2	125	CARDINAL
ejpam-4931	940	1	r1 ∫	ORG
ejpam-4931	940	2	0,t	CARDINAL
ejpam-4931	940	3	0,t	CARDINAL
ejpam-4931	942	1	secondly	ORDINAL
ejpam-4931	942	2	126	CARDINAL
ejpam-4931	943	1	57	CARDINAL
ejpam-4931	944	1	1 2	CARDINAL
ejpam-4931	944	2	∫	ORG
ejpam-4931	944	3	ξk1,r1uk1,r1	ORG
ejpam-4931	944	4	√ ξk1,r1	PERSON
ejpam-4931	944	5	√ ξk1,r1uk1,r1	PERSON
ejpam-4931	944	6	∫	ORG
ejpam-4931	945	1	ξk1,r1uk1,r1	ORG
ejpam-4931	947	1	√ ξk1,r1	PERSON
ejpam-4931	947	2	√ ξk1,r1uk1,r1	PERSON
ejpam-4931	947	3	dxdydt	PERSON
ejpam-4931	948	1	∇x	GPE
ejpam-4931	948	2	√ ξk1,r1 ∈	CARDINAL
ejpam-4931	948	3	0	CARDINAL
ejpam-4931	949	1	14	CARDINAL
ejpam-4931	949	2	16	DATE
ejpam-4931	949	3	√ ξk1,r1uk1,r1 −→ √	PERSON
ejpam-4931	949	4	0	CARDINAL
ejpam-4931	949	5	1 2	CARDINAL
ejpam-4931	950	1	ξk1,r1uk1,r1	ORG
ejpam-4931	950	2	√ ξk1,r1	PERSON
ejpam-4931	950	3	√ ξk1,r1uk1,r1	PERSON
ejpam-4931	950	4	∫	ORG
ejpam-4931	950	5	ξk1,r1uk1,r1	ORG
ejpam-4931	953	1	√ ξk1,r1	PERSON
ejpam-4931	953	2	√ ξk1,r1uk1,r1	PERSON
ejpam-4931	953	3	dxdydt −→ k1,r1−→0	PERSON
ejpam-4931	953	4	1 2	CARDINAL
ejpam-4931	953	5	∫	ORG
ejpam-4931	955	1	√ ξu	PERSON
ejpam-4931	955	2	∫	ORG
ejpam-4931	956	1	∇x √	PERSON
ejpam-4931	956	2	√ ξu	PERSON
ejpam-4931	956	3	dxdydt	PERSON
ejpam-4931	956	4	j. ouya	PERSON
ejpam-4931	956	5	a. ouédraogo	PERSON
ejpam-4931	957	1	j. pure	PERSON
ejpam-4931	957	2	16	CARDINAL
ejpam-4931	957	3	4	CARDINAL
ejpam-4931	957	4	2023	CARDINAL
ejpam-4931	957	5	2247	CARDINAL
ejpam-4931	957	6	∫	ORG
ejpam-4931	958	1	−→ k1,r1−→0	ORG
ejpam-4931	959	1	127	CARDINAL
ejpam-4931	960	1	118	CARDINAL
ejpam-4931	960	2	k1 ∫	ORG
ejpam-4931	963	1	√ ξk1,r1φdxdydt− k1	PERSON
ejpam-4931	964	1	ξk1,r1 √	ORG
ejpam-4931	964	2	k1∥ √	PERSON
ejpam-4931	964	3	√ ξk1,r1∥l2	PERSON
ejpam-4931	964	4	0,t	CARDINAL
ejpam-4931	964	5	√ ξk1,r1∥l2	PERSON
ejpam-4931	964	6	0,t	CARDINAL
ejpam-4931	964	7	0,t	CARDINAL
ejpam-4931	965	1	k1∥ √	PERSON
ejpam-4931	965	2	√ ξk1,r1∥l2	PERSON
ejpam-4931	965	3	0,t	CARDINAL
ejpam-4931	966	1	∥√ξk1,r1∥l2	PERSON
ejpam-4931	966	2	0,t	CARDINAL
ejpam-4931	967	1	0,t	CARDINAL
ejpam-4931	969	1	116	CARDINAL
ejpam-4931	969	2	117	CARDINAL
ejpam-4931	969	3	respectively∫ ω	ORG
ejpam-4931	970	1	1 2	CARDINAL
ejpam-4931	973	1	∫ ω ξ|∂yu|2dxdydt	ORG
ejpam-4931	975	1	2ξ|dx(u)|2dxdydt	CARDINAL
ejpam-4931	976	1	1 2	CARDINAL
ejpam-4931	976	2	128	CARDINAL
ejpam-4931	976	3	∫ ω	ORG
ejpam-4931	976	4	1 2	CARDINAL
ejpam-4931	976	5	2∇x	CARDINAL
ejpam-4931	976	6	∫	ORG
ejpam-4931	976	7	∫	ORG
ejpam-4931	976	8	∫ ω	ORG
ejpam-4931	976	9	∫	ORG
ejpam-4931	976	10	∫ ω (	ORG
ejpam-4931	976	11	2	CARDINAL
ejpam-4931	976	12	dxdy + ∫ ω	ORG
ejpam-4931	976	13	1 2	CARDINAL
ejpam-4931	976	14	129	CARDINAL
ejpam-4931	976	15	115	CARDINAL
ejpam-4931	976	16	r1 −→ 0	ORG
ejpam-4931	976	17	0 ∂t(ξu	PERCENT
ejpam-4931	978	1	2divx	TIME
ejpam-4931	979	1	130	CARDINAL
ejpam-4931	979	2	× ω	ORG
ejpam-4931	979	3	1	CARDINAL
ejpam-4931	980	1	j. ouya	PERSON
ejpam-4931	980	2	a. ouédraogo	PERSON
ejpam-4931	981	1	j. pure	PERSON
ejpam-4931	981	2	16	CARDINAL
ejpam-4931	981	3	4	CARDINAL
ejpam-4931	981	4	2023	CARDINAL
ejpam-4931	981	5	2247	CARDINAL
ejpam-4931	982	1	2	CARDINAL
ejpam-4931	982	2	7	CARDINAL
ejpam-4931	983	1	1	CARDINAL
ejpam-4931	983	2	0	CARDINAL
ejpam-4931	983	3	∈	ORG
ejpam-4931	983	4	0	CARDINAL
ejpam-4931	983	5	∈	ORG
ejpam-4931	983	6	0	CARDINAL
ejpam-4931	983	7	∈	ORG
ejpam-4931	983	8	0	CARDINAL
ejpam-4931	983	9	√	PERSON
ejpam-4931	983	10	∈	ORG
ejpam-4931	983	11	0	CARDINAL
ejpam-4931	983	12	√ ξ∂yu ∈	PERSON
ejpam-4931	983	13	0	CARDINAL
ejpam-4931	983	14	1 3u	CARDINAL
ejpam-4931	983	15	0	CARDINAL
ejpam-4931	983	16	∈	ORG
ejpam-4931	983	17	0	CARDINAL
ejpam-4931	984	1	131	CARDINAL
ejpam-4931	984	2	ρ(t	NORP
ejpam-4931	985	1	0,t	CARDINAL
ejpam-4931	985	2	0,t	CARDINAL
ejpam-4931	985	3	0,t	CARDINAL
ejpam-4931	985	4	0,t	CARDINAL
ejpam-4931	985	5	0,t	CARDINAL
ejpam-4931	985	6	3	CARDINAL
ejpam-4931	985	7	0,t	CARDINAL
ejpam-4931	985	8	0,t	CARDINAL
ejpam-4931	985	9	0,t	CARDINAL
ejpam-4931	985	10	0,t	CARDINAL
ejpam-4931	985	11	0,t	CARDINAL
ejpam-4931	985	12	0,t	CARDINAL
ejpam-4931	985	13	1 2	CARDINAL
ejpam-4931	986	1	132	CARDINAL
ejpam-4931	986	2	0,t	CARDINAL
ejpam-4931	989	1	1	CARDINAL
ejpam-4931	990	1	1	CARDINAL
ejpam-4931	991	1	1	CARDINAL
ejpam-4931	991	2	ξv2dxdydt+	DATE
ejpam-4931	992	1	1	CARDINAL
ejpam-4931	992	2	133	CARDINAL
ejpam-4931	992	3	∥√ρ∂yv∥2	ORG
ejpam-4931	992	4	0,t	CARDINAL
ejpam-4931	995	1	1	CARDINAL
ejpam-4931	995	2	|√ρ∂yv|2dxdydt	ORG
ejpam-4931	995	3	2	CARDINAL
ejpam-4931	995	4	1	CARDINAL
ejpam-4931	995	5	2 +	DATE
ejpam-4931	995	6	2	CARDINAL
ejpam-4931	996	1	1	CARDINAL
ejpam-4931	996	2	2dxdydt+	CARDINAL
ejpam-4931	997	1	1	CARDINAL
ejpam-4931	997	2	2dxdydt	CARDINAL
ejpam-4931	998	1	134	CARDINAL
ejpam-4931	998	2	2284	CARDINAL
ejpam-4931	998	3	2	CARDINAL
ejpam-4931	998	4	2.1	CARDINAL
ejpam-4931	999	1	1	CARDINAL
ejpam-4931	1000	1	6	CARDINAL
ejpam-4931	1000	2	3	CARDINAL
ejpam-4931	1000	3	three	CARDINAL
ejpam-4931	1002	1	1	CARDINAL
ejpam-4931	1003	1	1	CARDINAL
ejpam-4931	1003	2	benôıt desjardins	ORG
ejpam-4931	1004	1	2d	DATE
ejpam-4931	1005	1	j. math	PERSON
ejpam-4931	1007	1	9	CARDINAL
ejpam-4931	1007	2	86(4):362–368	DATE
ejpam-4931	1007	3	2006	DATE
ejpam-4931	1008	1	2	CARDINAL
ejpam-4931	1008	2	benôıt desjardins	ORG
ejpam-4931	1008	3	chi-kun lin	PERSON
ejpam-4931	1010	1	commun	PERSON
ejpam-4931	1012	1	2003	DATE
ejpam-4931	1013	1	3	CARDINAL
ejpam-4931	1013	2	mamadou sy	ORG
ejpam-4931	1014	1	2011	DATE
ejpam-4931	1015	1	4	CARDINAL
ejpam-4931	1016	1	26	CARDINAL
ejpam-4931	1017	1	lect	PERSON
ejpam-4931	1018	1	ser	PERSON
ejpam-4931	1020	1	oxford	NORP
ejpam-4931	1020	2	oxford university press	ORG
ejpam-4931	1020	3	2004	DATE
ejpam-4931	1021	1	5	CARDINAL
ejpam-4931	1021	2	hana petzeltová.	PERSON
ejpam-4931	1022	1	j. math	PERSON
ejpam-4931	1023	1	3(4):358–392, 2001	DATE
ejpam-4931	1024	1	6	CARDINAL
ejpam-4931	1024	2	hongjun gao	PERSON
ejpam-4931	1024	3	tong tang	PERSON
ejpam-4931	1026	1	c. r.	PERSON
ejpam-4931	1027	1	sci	ORG
ejpam-4931	1027	2	paris	GPE
ejpam-4931	1027	3	359(6):639–644	GPE
ejpam-4931	1027	4	2021	DATE
ejpam-4931	1028	1	7	CARDINAL
ejpam-4931	1028	2	i. lacroix-violet	PERSON
ejpam-4931	1031	1	2015	DATE
ejpam-4931	1032	1	8	CARDINAL
ejpam-4931	1032	2	quansen jiu	PERSON
ejpam-4931	1032	3	mingjie li	PERSON
ejpam-4931	1032	4	wang	PERSON
ejpam-4931	1033	1	2d	DATE
ejpam-4931	1034	1	j. math	PERSON
ejpam-4931	1036	1	461(2):1653–1671	CARDINAL
ejpam-4931	1036	2	2018	DATE
ejpam-4931	1037	1	9	CARDINAL
ejpam-4931	1037	2	ansgar jüngel	PERSON
ejpam-4931	1039	1	j. math	PERSON
ejpam-4931	1040	1	42(3):1025–1045, 2010	DATE
ejpam-4931	1041	1	2285	CARDINAL
ejpam-4931	1042	1	10	CARDINAL
ejpam-4931	1042	2	jinkai li	PERSON
ejpam-4931	1042	3	s. titi	PERSON
ejpam-4931	1044	1	j. math	PERSON
ejpam-4931	1046	1	9	CARDINAL
ejpam-4931	1046	2	124:30–58	DATE
ejpam-4931	1046	3	2019	DATE
ejpam-4931	1047	1	11	CARDINAL
ejpam-4931	1047	2	xin liu	PERSON
ejpam-4931	1047	3	s. titi	PERSON
ejpam-4931	1048	1	j. math	PERSON
ejpam-4931	1049	1	51(3):1913–1964	CARDINAL
ejpam-4931	1049	2	2019	DATE
ejpam-4931	1050	1	12	CARDINAL
ejpam-4931	1051	1	16	CARDINAL
ejpam-4931	1054	1	birkhäuser, 1995	ORG
ejpam-4931	1055	1	13	CARDINAL
ejpam-4931	1055	2	a. vasseur	PERSON
ejpam-4931	1057	1	commun	PERSON
ejpam-4931	1059	1	32(3):431–452,	DATE
ejpam-4931	1059	2	2007	DATE
ejpam-4931	1060	1	14	CARDINAL
ejpam-4931	1060	2	louis nirenberg	PERSON
ejpam-4931	1062	1	c.i.m.e	ORG
ejpam-4931	1062	2	principio di minimo e sue applicazioni alle	PERSON
ejpam-4931	1062	3	1-48 (	PERCENT
ejpam-4931	1062	4	1960	DATE
ejpam-4931	1062	5	1960	DATE
ejpam-4931	1063	1	15	CARDINAL
ejpam-4931	1064	1	a. vasseur	PERSON
ejpam-4931	1064	2	c. yu	PERSON
ejpam-4931	1066	1	2016/2017	DATE
ejpam-4931	1067	1	exposés 1120–1135	ORG
ejpam-4931	1068	1	société mathématique de france	ORG
ejpam-4931	1068	2	2019	DATE
ejpam-4931	1069	1	16	CARDINAL
ejpam-4931	1069	2	jacques simon	PERSON
ejpam-4931	1071	1	ann	PERSON
ejpam-4931	1072	1	4	CARDINAL
ejpam-4931	1072	2	146:65–96, 1987	DATE
ejpam-4931	1073	1	17	CARDINAL
ejpam-4931	1073	2	alexis f. vasseur	PERSON
ejpam-4931	1073	3	cheng yu	PERSON
ejpam-4931	1073	4	3d	CARDINAL
ejpam-4931	1075	1	206(3):935–974	CARDINAL
ejpam-4931	1075	2	2016	DATE
ejpam-4931	1076	1	18	CARDINAL
ejpam-4931	1076	2	alexis f. vasseur	PERSON
ejpam-4931	1076	3	cheng yu	PERSON
ejpam-4931	1077	1	j. math	PERSON
ejpam-4931	1078	1	48(2):1489–1511	DATE
ejpam-4931	1078	2	2016	DATE
ejpam-4931	1079	1	19	CARDINAL
ejpam-4931	1079	2	wang	PERSON
ejpam-4931	1079	3	changsheng dou	PERSON
ejpam-4931	1079	4	quansen jiu	PERSON
ejpam-4931	1080	1	3d	CARDINAL
ejpam-4931	1082	1	61(2):021507	CARDINAL
ejpam-4931	1082	2	33	DATE
ejpam-4931	1082	3	2020	DATE