On the Critical One Component Regularity for 3-D Navier-Stokes System: General Case

doi:10.1007/s00205-017-1089-0

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	On the Critical One Component Regularity for 3-D Navier-Stokes System: General Case
	Chemin, Jean-Yves 1; Zhang, Ping2,3,4 ; Zhang, Zhifei 5
	2017-06-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	224 期号:3 页码:871-905
摘要	Let us consider initial data v(0) for the homogeneous incompressible 3D Navier-Stokes equation with vorticity belonging to L-3/2 boolean AND L-2. We prove that if the solution associated with v(0) blows up at a finite time T, then for any p in ]4, infinity[, and any unit vector e of R-3, the L (p) norm in time with value in H (1/2) (+) (2/p) of (v\|e) (3)(R) blows up at T.
DOI	10.1007/s00205-017-1089-0
语种	英语
资助项目	MCM ; National Center for Mathematics and Interdisciplinary Sciences ; NSF of China[11371347] ; NSF of China[11371037] ; NSF of China[11425103] ; Chinese Academy of Sciences ; Program for New Century Excellent Talents in University ; Fok Ying Tung Education Foundation
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000396793500002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25152
专题	数学所
通讯作者	Chemin, Jean-Yves
作者单位	1.Univ Paris 06, Lab JL Lions, UMR 7598, F-75230 Paris 05, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 5.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Chemin, Jean-Yves,Zhang, Ping,Zhang, Zhifei. On the Critical One Component Regularity for 3-D Navier-Stokes System: General Case[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2017,224(3):871-905.
APA	Chemin, Jean-Yves,Zhang, Ping,&Zhang, Zhifei.(2017).On the Critical One Component Regularity for 3-D Navier-Stokes System: General Case.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,224(3),871-905.
MLA	Chemin, Jean-Yves,et al."On the Critical One Component Regularity for 3-D Navier-Stokes System: General Case".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 224.3(2017):871-905.