Blow-up criterion for 3D viscous-resistive compressible magnetohydrodynamic equations

被引：15

作者：

Chen, Mingtao ^{[1
]}

Liu, Shengquan ^{[2
,3
]}

机构：

[1] Shandong Univ Weihai, Sch Math & Stat, Weihai 264209, Peoples R China

[2] Liaoning Univ, Sch Math, Shenyang 110036, Peoples R China

[3] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 09期

关键词：

blow-up criterion; strong solution; compressible magnetohydrodynamics; vacuum; NAVIER-STOKES EQUATIONS; HEAT-CONDUCTIVE GASES/; MHD EQUATIONS; CONTINUOUS DEPENDENCE; CRITICAL SPACES; WEAK SOLUTIONS; EXISTENCE; FLOWS; HYDRODYNAMICS; REGULARITY;

D O I：

10.1002/mma.2674

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a blow-up criterion of strong solutions for 3D viscous-resistive compressible magnetohydrodynamic equations, which depends only on vertical bar delta u vertical bar L1(0,T;L) and vertical bar vertical bar L(0,T;L). Our result improves the previous criterion in Lu's paper (Journal of Mathematical Analysis and Applications 2011; 379: 425438.) for compressible magnetohydrodynamic equations by removing a stringent condition on the viscous coefficients >4. In addition, initial vacuum states are also allowed in our cases. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：1145 / 1156

页数：12

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