A regularity criterion for the density-dependent magnetohydrodynamic equations

被引：24

作者：

Zhou, Yong ^{[1
]}

Fan, Jishan ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 11期

关键词：

magnetohydrodynamics; regularity criterion; multiplier spaces; Morrey spaces; NAVIER-STOKES EQUATIONS; 3D MHD EQUATIONS; SPACES;

D O I：

10.1002/mma.1255

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, regularity criterion for the 3-D density-dependent magnetohydrodynamic equation is considered. It is proved that the solution keeps smoothness only under an integrable condition on the velocity field in multiplier spaces. Hence, it turns out that the velocity field plays a dominant role in the regularity criteria of the weak solutions to this nonlinear coupling problem even with density. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：1350 / 1355

页数：6

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