Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices

doi:10.1016/j.jde.2007.07.009

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	Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices
	Yuan, Baoquan ; Zhang, Bo
	2007-11-01
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	242 期号:1 页码:1-10
摘要	A Holder type inequality in Besov spaces is established and applied to show that every strong solution u(t, x) on (0, T) of the Navier-Stokes equations can be continued beyond t > T provided that the vorticity w(t, x) is an element of L2/2-alpha(0, T; (B) over dot(infinity,infinity)(-alpha)(R-3)) boolean AND L2/1-alpha(0, T; (B) over dot(infinity,infinity)(-alpha)(R-3)) for 0 < alpha < 1. (C) 2007 Elsevier Inc. All rights reserved.
关键词	Navier-Stokes equations Besov spaces blow-up criterion regularity of weak solutions
DOI	10.1016/j.jde.2007.07.009
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000251065500001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4938
专题	应用数学研究所
通讯作者	Zhang, Bo
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Henan Polytechn Univ, Coll Math & Informat, Jiaozuo City 454000, Henan Province, Peoples R China
推荐引用方式 GB/T 7714	Yuan, Baoquan,Zhang, Bo. Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2007,242(1):1-10.
APA	Yuan, Baoquan,&Zhang, Bo.(2007).Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices.JOURNAL OF DIFFERENTIAL EQUATIONS,242(1),1-10.
MLA	Yuan, Baoquan,et al."Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices".JOURNAL OF DIFFERENTIAL EQUATIONS 242.1(2007):1-10.