id	sid	tid	token	lemma	pos
cn69m329r7g	1	1	we	we	PRON
cn69m329r7g	1	2	study	study	VERB
cn69m329r7g	1	3	two	two	NUM
cn69m329r7g	1	4	properties	property	NOUN
cn69m329r7g	1	5	of	of	ADP
cn69m329r7g	1	6	the	the	DET
cn69m329r7g	1	7	data	data	NOUN
cn69m329r7g	1	8	-	-	PUNCT
cn69m329r7g	1	9	to	to	ADP
cn69m329r7g	1	10	-	-	PUNCT
cn69m329r7g	1	11	solution	solution	NOUN
cn69m329r7g	1	12	map	map	NOUN
cn69m329r7g	1	13	associated	associate	VERB
cn69m329r7g	1	14	to	to	ADP
cn69m329r7g	1	15	the	the	DET
cn69m329r7g	1	16	incompressible	incompressible	ADJ
cn69m329r7g	1	17	euler	euler	PROPN
cn69m329r7g	1	18	equations	equation	NOUN
cn69m329r7g	1	19	of	of	ADP
cn69m329r7g	1	20	fluid	fluid	ADJ
cn69m329r7g	1	21	motion	motion	NOUN
cn69m329r7g	1	22	.	.	PUNCT
cn69m329r7g	2	1	first	first	ADV
cn69m329r7g	2	2	,	,	PUNCT
cn69m329r7g	2	3	we	we	PRON
cn69m329r7g	2	4	show	show	VERB
cn69m329r7g	2	5	that	that	SCONJ
cn69m329r7g	2	6	the	the	DET
cn69m329r7g	2	7	maximum	maximum	ADJ
cn69m329r7g	2	8	norm	norm	NOUN
cn69m329r7g	2	9	of	of	ADP
cn69m329r7g	2	10	the	the	DET
cn69m329r7g	2	11	vorticity	vorticity	NOUN
cn69m329r7g	2	12	controls	control	VERB
cn69m329r7g	2	13	the	the	DET
cn69m329r7g	2	14	breakdown	breakdown	NOUN
cn69m329r7g	2	15	of	of	ADP
cn69m329r7g	2	16	the	the	DET
cn69m329r7g	2	17	solution	solution	NOUN
cn69m329r7g	2	18	in	in	ADP
cn69m329r7g	2	19	the	the	DET
cn69m329r7g	2	20	eulerian	eulerian	ADJ
cn69m329r7g	2	21	coordinates	coordinate	NOUN
cn69m329r7g	2	22	for	for	ADP
cn69m329r7g	2	23	the	the	DET
cn69m329r7g	2	24	"	"	PUNCT
cn69m329r7g	2	25	little	little	ADJ
cn69m329r7g	2	26	"	"	PUNCT
cn69m329r7g	2	27	hölder	hölder	NOUN
cn69m329r7g	2	28	space	space	NOUN
cn69m329r7g	2	29	.	.	PUNCT
cn69m329r7g	3	1	as	as	ADP
cn69m329r7g	3	2	a	a	DET
cn69m329r7g	3	3	consequence	consequence	NOUN
cn69m329r7g	3	4	we	we	PRON
cn69m329r7g	3	5	obtain	obtain	VERB
cn69m329r7g	3	6	an	an	DET
cn69m329r7g	3	7	extension	extension	NOUN
cn69m329r7g	3	8	result	result	NOUN
cn69m329r7g	3	9	for	for	ADP
cn69m329r7g	3	10	local	local	ADJ
cn69m329r7g	3	11	solutions	solution	NOUN
cn69m329r7g	3	12	to	to	ADP
cn69m329r7g	3	13	the	the	DET
cn69m329r7g	3	14	incompressible	incompressible	ADJ
cn69m329r7g	3	15	euler	euler	PROPN
cn69m329r7g	3	16	equations	equation	NOUN
cn69m329r7g	3	17	.	.	PUNCT
cn69m329r7g	4	1	second	second	ADV
cn69m329r7g	4	2	,	,	PUNCT
cn69m329r7g	4	3	we	we	PRON
cn69m329r7g	4	4	prove	prove	VERB
cn69m329r7g	4	5	the	the	DET
cn69m329r7g	4	6	non	non	ADJ
cn69m329r7g	4	7	-	-	ADJ
cn69m329r7g	4	8	uniform	uniform	ADJ
cn69m329r7g	4	9	continuity	continuity	NOUN
cn69m329r7g	4	10	of	of	ADP
cn69m329r7g	4	11	the	the	DET
cn69m329r7g	4	12	data	data	NOUN
cn69m329r7g	4	13	-	-	PUNCT
cn69m329r7g	4	14	to	to	ADP
cn69m329r7g	4	15	-	-	PUNCT
cn69m329r7g	4	16	solution	solution	NOUN
cn69m329r7g	4	17	map	map	NOUN
cn69m329r7g	4	18	from	from	ADP
cn69m329r7g	4	19	bounded	bound	VERB
cn69m329r7g	4	20	subsets	subset	NOUN
cn69m329r7g	4	21	of	of	ADP
cn69m329r7g	4	22	the	the	DET
cn69m329r7g	4	23	besov	besov	NOUN
cn69m329r7g	4	24	space	space	NOUN
cn69m329r7g	4	25	into	into	ADP
cn69m329r7g	4	26	the	the	DET
cn69m329r7g	4	27	space	space	NOUN
cn69m329r7g	4	28	of	of	ADP
cn69m329r7g	4	29	continuous	continuous	ADJ
cn69m329r7g	4	30	curves	curve	NOUN
cn69m329r7g	4	31	landing	landing	NOUN
cn69m329r7g	4	32	in	in	ADP
cn69m329r7g	4	33	the	the	DET
cn69m329r7g	4	34	besov	besov	NOUN
cn69m329r7g	4	35	space	space	NOUN
cn69m329r7g	4	36	.	.	PUNCT
cn69m329r7g	5	1	in	in	ADP
cn69m329r7g	5	2	the	the	DET
cn69m329r7g	5	3	periodic	periodic	ADJ
cn69m329r7g	5	4	case	case	NOUN
cn69m329r7g	5	5	two	two	NUM
cn69m329r7g	5	6	sequences	sequence	NOUN
cn69m329r7g	5	7	of	of	ADP
cn69m329r7g	5	8	bounded	bound	VERB
cn69m329r7g	5	9	solutions	solution	NOUN
cn69m329r7g	5	10	are	be	AUX
cn69m329r7g	5	11	shown	show	VERB
cn69m329r7g	5	12	to	to	PART
cn69m329r7g	5	13	converge	converge	VERB
cn69m329r7g	5	14	at	at	ADP
cn69m329r7g	5	15	time	time	NOUN
cn69m329r7g	5	16	zero	zero	NUM
cn69m329r7g	5	17	and	and	CCONJ
cn69m329r7g	5	18	to	to	PART
cn69m329r7g	5	19	remain	remain	VERB
cn69m329r7g	5	20	apart	apart	ADV
cn69m329r7g	5	21	at	at	ADP
cn69m329r7g	5	22	later	later	ADJ
cn69m329r7g	5	23	times	time	NOUN
cn69m329r7g	5	24	.	.	PUNCT
cn69m329r7g	6	1	in	in	ADP
cn69m329r7g	6	2	the	the	DET
cn69m329r7g	6	3	non	non	ADJ
cn69m329r7g	6	4	-	-	ADJ
cn69m329r7g	6	5	periodic	periodic	ADJ
cn69m329r7g	6	6	case	case	NOUN
cn69m329r7g	6	7	we	we	PRON
cn69m329r7g	6	8	use	use	VERB
cn69m329r7g	6	9	the	the	DET
cn69m329r7g	6	10	initial	initial	ADJ
cn69m329r7g	6	11	values	value	NOUN
cn69m329r7g	6	12	of	of	ADP
cn69m329r7g	6	13	two	two	NUM
cn69m329r7g	6	14	sequences	sequence	NOUN
cn69m329r7g	6	15	of	of	ADP
cn69m329r7g	6	16	bounded	bound	VERB
cn69m329r7g	6	17	approximate	approximate	ADJ
cn69m329r7g	6	18	solutions	solution	NOUN
cn69m329r7g	6	19	(	(	PUNCT
cn69m329r7g	6	20	which	which	PRON
cn69m329r7g	6	21	converge	converge	VERB
cn69m329r7g	6	22	at	at	ADP
cn69m329r7g	6	23	time	time	NOUN
cn69m329r7g	6	24	zero	zero	NUM
cn69m329r7g	6	25	and	and	CCONJ
cn69m329r7g	6	26	remain	remain	VERB
cn69m329r7g	6	27	apart	apart	ADV
cn69m329r7g	6	28	at	at	ADP
cn69m329r7g	6	29	later	later	ADJ
cn69m329r7g	6	30	times	time	NOUN
cn69m329r7g	6	31	)	)	PUNCT
cn69m329r7g	6	32	to	to	PART
cn69m329r7g	6	33	construct	construct	VERB
cn69m329r7g	6	34	two	two	NUM
cn69m329r7g	6	35	sequences	sequence	NOUN
cn69m329r7g	6	36	of	of	ADP
cn69m329r7g	6	37	exact	exact	ADJ
cn69m329r7g	6	38	solutions	solution	NOUN
cn69m329r7g	6	39	to	to	ADP
cn69m329r7g	6	40	the	the	DET
cn69m329r7g	6	41	incompressible	incompressible	ADJ
cn69m329r7g	6	42	euler	euler	PROPN
cn69m329r7g	6	43	equations	equation	NOUN
cn69m329r7g	6	44	.	.	PUNCT
cn69m329r7g	7	1	using	use	VERB
cn69m329r7g	7	2	standard	standard	ADJ
cn69m329r7g	7	3	energy	energy	NOUN
cn69m329r7g	7	4	estimates	estimate	NOUN
cn69m329r7g	7	5	for	for	ADP
cn69m329r7g	7	6	solutions	solution	NOUN
cn69m329r7g	7	7	to	to	ADP
cn69m329r7g	7	8	the	the	DET
cn69m329r7g	7	9	incompressible	incompressible	ADJ
cn69m329r7g	7	10	euler	euler	PROPN
cn69m329r7g	7	11	equations	equation	NOUN
cn69m329r7g	7	12	and	and	CCONJ
cn69m329r7g	7	13	estimates	estimate	NOUN
cn69m329r7g	7	14	for	for	ADP
cn69m329r7g	7	15	a	a	DET
cn69m329r7g	7	16	solution	solution	NOUN
cn69m329r7g	7	17	to	to	ADP
cn69m329r7g	7	18	a	a	DET
cn69m329r7g	7	19	linear	linear	ADJ
cn69m329r7g	7	20	transport	transport	NOUN
cn69m329r7g	7	21	equation	equation	NOUN
cn69m329r7g	7	22	we	we	PRON
cn69m329r7g	7	23	show	show	VERB
cn69m329r7g	7	24	that	that	SCONJ
cn69m329r7g	7	25	the	the	DET
cn69m329r7g	7	26	distance	distance	NOUN
cn69m329r7g	7	27	between	between	ADP
cn69m329r7g	7	28	the	the	DET
cn69m329r7g	7	29	exact	exact	ADJ
cn69m329r7g	7	30	and	and	CCONJ
cn69m329r7g	7	31	approximate	approximate	ADJ
cn69m329r7g	7	32	solutions	solution	NOUN
cn69m329r7g	7	33	is	be	AUX
cn69m329r7g	7	34	negligible	negligible	ADJ
cn69m329r7g	7	35	in	in	ADP
cn69m329r7g	7	36	the	the	DET
cn69m329r7g	7	37	besov	besov	NOUN
cn69m329r7g	7	38	norm	norm	NOUN
cn69m329r7g	7	39	.	.	PUNCT
cn69m329r7g	8	1	finally	finally	ADV
cn69m329r7g	8	2	,	,	PUNCT
cn69m329r7g	8	3	we	we	PRON
cn69m329r7g	8	4	show	show	VERB
cn69m329r7g	8	5	that	that	SCONJ
cn69m329r7g	8	6	the	the	DET
cn69m329r7g	8	7	exact	exact	ADJ
cn69m329r7g	8	8	solutions	solution	NOUN
cn69m329r7g	8	9	initially	initially	ADV
cn69m329r7g	8	10	converge	converge	VERB
cn69m329r7g	8	11	and	and	CCONJ
cn69m329r7g	8	12	remain	remain	VERB
cn69m329r7g	8	13	separated	separate	VERB
cn69m329r7g	8	14	at	at	ADP
cn69m329r7g	8	15	later	later	ADJ
cn69m329r7g	8	16	times	time	NOUN
cn69m329r7g	8	17	.	.	PUNCT