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	Regularity criterion to the axially symmetric Navier-Stokes equations
	Wei, Dongyi
	2016
关键词	Axially symmetric Navier-Stokes equations Regularity criterion
英文摘要	Smooth solutions to the axially symmetric Navier-Stokes equations obey the following maximum principle: parallel to ru(theta) (r, z, t)parallel to(L infinity) <= parallel to ru(theta) (r, z, 0)parallel to(L infinity). We first prove the global regularity of solutions if parallel to ru(theta) (r, z, 0)parallel to(L infinity) or parallel to ru(theta) (r, z, t)parallel to(L infinity(r <= r0)) is small compared with certain dimensionless quantity of the initial data. This result improves the one in Zhen Lei and Qi S. Zhang [10]. As a corollary, we also prove the global regularity under the assumption that} vertical bar ru(theta)(r,z,t)vertical bar <= vertical bar ln r vertical bar(-3/2), for all 0 < r <= delta(0) is an element of (0,1/2). (C) 2015 Elsevier Inc. All rights reserved.; SCI(E); ARTICLE; jnwdyi@163.com; 1; 402-413; 435
语种	英语
出处	SCI
出版者	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/438585]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wei, Dongyi. Regularity criterion to the axially symmetric Navier-Stokes equations. 2016-01-01.

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