A BLOW-UP CRITERION FOR THE 3D COMPRESSIBLE MHD EQUATIONS

被引：9

作者：

Lu, Ming ^{[2
]}

Du, Yi ^{[1
]}

Yao, Zheng-An ^{[2
]}

Zhang, Zujin ^{[2
]}

机构：

[1] S China Normal Univ, Dept Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] Sun Yat Sen Univ, Dept Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2012年 / 11卷 / 03期

关键词：

Blow-up criterion; strong solutions; 3D compressible magnetohydrodynamic equations; WEAK SOLUTIONS; SMOOTH SOLUTIONS; MAGNETOHYDRODYNAMIC EQUATIONS; REGULARITY;

D O I：

10.3934/cpaa.2012.11.1167

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the 3D compressible magnetohydrodynamic equations. We extend the well-known Serrin's blow-up criterion(see [32]) for the 3D incompressible Navier-Stokes equations to the 3D compressible magnetohydrodynamic equations. In addition, initial vacuum is allowed in our case.

引用

页码：1167 / 1183

页数：17

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