A regularity criterion for the 3D magneto-micropolar fluid equations in Triebel-Lizorkin spaces

被引：40

作者：

Zhang, Zujin ^{[1
]}

Yao, Zheng-An ^{[1
]}

Wang, Xiaofeng ^{[2
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

[2] Guangzhou Univ, Coll Math, Guangzhou 510006, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 06期

关键词：

Magneto-micropolar fluid equations; Conditional regularity; Triebel-Lizorkin spaces; Beal-Kato-Majda criterion; NAVIER-STOKES EQUATIONS; VISCOUS MHD EQUATIONS; WEAK SOLUTIONS; EULER EQUATIONS; UNIQUENESS; TERMS; VORTICITY; EXISTENCE; PRESSURE;

D O I：

10.1016/j.na.2010.11.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the regularity criterion for the 3D magneto-micropolar fluid equations in Triebel-Lizorkin spaces. It is proved that if del u is an element of L-p (0, T; <(F)over dot>(0)(q,2q/3)) with 2/p + 3/q = 2, 3/2 < q <= infinity, then the solution remains smooth in (0, T). As a corollary, we obtain the classical Beal-Kato-Majda criterion, that is, the condition del x u is an element of L-1 (0, T; <(B)over dot>(0)(infinity,infinity)), ensures the smoothness of the solution. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.

引用

页码：2220 / 2225

页数：6

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