An improved regularity criterion of three-dimensional magnetohydrodynamic equations

被引：12

作者：

Dong, Bo-Qing ^{[1
]}

Jia, Yan ^{[1
]}

Zhang, Wenliang ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 03期

关键词：

MHD equations; Regularity criterion; Besov space; MAGNETO-HYDRODYNAMICS EQUATIONS; 3D MHD EQUATIONS; WEAK SOLUTIONS;

D O I：

10.1016/j.nonrwa.2011.09.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An improved regularity criterion for a weak solution of three-dimensional magnetohydrodynamic equations is obtained. Employing the Fourier localization technique, it is proved that weak solutions become regular on (0, T] if the summation of velocity field u and magnetic field b belong to the largest critical spaces: u + b is an element of L2/1+r (0, T; B-infinity,infinity(r).0.(R-3)), -1 < r <= 1. This obviously extends the previous results. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1159 / 1169

页数：11

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