Global classical solutions to the 2D compressible MHD equations with large data and vacuum (vol 258, pg 3304, 2015)

被引：6

作者：

Mei, Yu ^{[1
,2
]}

机构：

[1] Chinese Univ Hong Kong, Inst Math Sci, Hong Kong, Hong Kong, Peoples R China

[2] Chinese Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 258卷 / 09期

关键词：

Compressible MHD equations; Density-dependent viscosity; Global classical solutions; Large data; Vacuum;

D O I：

10.1016/j.jde.2015.02.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the global well-posedness of classical solutions to the 2D compressible MHD equations with large initial data and vacuum. With the assumption mu = const. and lambda = rho(beta), beta > 1 (Vaigant-Kazhikhov Model) for the viscosity coefficients, the global existence and uniqueness of classical solutions to the initial value problem is established on the torus T-2 and the whole space R-2 (with vacuum or non-vacuum far fields). These results generalize the previous ones for the Vaigant Kazhikhov model of compressible Navier-Stokes equations. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：3360 / 3362

页数：3