Remark on the regularities of Kato's solutions to Navier-Stokes equations with initial data in L-d(R-d)

doi:10.1007/s11401-007-0083-5

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	Remark on the regularities of Kato's solutions to Navier-Stokes equations with initial data in L-d(R-d)
	Zhang, Ping
	2008-05-01
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	29 期号:3 页码:265-272
摘要	Motivated by the results of J. Y. Chemin in "J. Anal. Math., 77, 1999, 2750" and G. Furioli et al in "Revista Mat. lberoamer., 16, 2002, 605-667", the author considers further regularities of the mild solutions to Navier-Stokes equation with initial data u(0) is an element of L-d (R-d). In particular, it is proved that if u is an element of C([0,T); L-d(R-d)) is a mild solution of (NS nu), then u(t,x) - e(nu t Delta)u(0) is an element of (L) over tilde (infinity) ((0,T);B-d/2,infinity(1)) boolean AND (L) over tilde (1)((0,T);B-d/2,infinity(3)) for any T < T.
关键词	Navier-Stokes equations Kato's solutions para-differential decomposition
DOI	10.1007/s11401-007-0083-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000256489300004
出版者	SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6694
专题	数学所
通讯作者	Zhang, Ping
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Ping. Remark on the regularities of Kato's solutions to Navier-Stokes equations with initial data in L-d(R-d)[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2008,29(3):265-272.
APA	Zhang, Ping.(2008).Remark on the regularities of Kato's solutions to Navier-Stokes equations with initial data in L-d(R-d).CHINESE ANNALS OF MATHEMATICS SERIES B,29(3),265-272.
MLA	Zhang, Ping."Remark on the regularities of Kato's solutions to Navier-Stokes equations with initial data in L-d(R-d)".CHINESE ANNALS OF MATHEMATICS SERIES B 29.3(2008):265-272.