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	Regularity criterion of axisymmetric weak solutions to the 3D Navier-Stokes equations
	Chen, Qionglei ; Zhang, Zhifei
	2007
关键词	Navier-Stokes equation regularity criterion weak solutions Besov space INITIAL VALUE-PROBLEM INTERIOR REGULARITY EULER EQUATIONS SPACE LP
英文摘要	We consider the regularity of axisymmetric weak solutions to the Navier-Stokes equations in R-3. Let u be an axisymmetric weak solution in R-3 x (0, T), w = cur1 u, and w(theta) be the azimuthal component of w in the cylindrical coordinates. Chae-Lee [D. Chae, J. Lee, On the regularity of axisymmetric solutions of the Navier-Stokes equations, Math. Z. 239 (2002) 645-671] proved the regularity of weak solutions under the condition w(theta) is an element of L-q/(0, T; L-r), with 3/2 < r < infinity, 2/q + 3/r <= 2. We deal with the marginal case r = infinity o which they excluded. It is proved that a becomes a regular solution if w(theta) is an element of L-1(0, T; B-infinity, infinity(0)). (c) 2006 Elsevier Inc. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 2; 1384-1395; 331
语种	英语
出处	SCI
出版者	数学分析与应用杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/250026]
专题	数学科学学院
推荐引用方式 GB/T 7714	Chen, Qionglei,Zhang, Zhifei. Regularity criterion of axisymmetric weak solutions to the 3D Navier-Stokes equations. 2007-01-01.

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