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	On the Critical One Component Regularity for 3-D Navier-Stokes System: General Case
	Chemin, Jean-Yves ; Zhang, Ping ; Zhang, Zhifei
	2017
关键词	EQUATIONS
英文摘要	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*.; MCM; National Center for Mathematics and Interdisciplinary Sciences; NSF of China [11371347, 11371037, 11425103]; Chinese Academy of Sciences; Program for New Century Excellent Talents in University; Fok Ying Tung Education Foundation; SCI(E); ARTICLE; 3; 871-905; 224
语种	英语
出处	SCI
出版者	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/473279]
专题	数学科学学院
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. 2017-01-01.

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