Existence for the compressible magnetohydrodynamic equations with vacuum

被引：8

作者：

Xi, Shuai ^{[1
]}

Hao, Xingwen ^{[2
]}

机构：

[1] Shanghai Tiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

[2] Weifang Univ, Sch Math & Informat, Weifang 261061, Shandong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 453卷 / 01期

关键词：

MHD; Classical solutions; Vacuum; NAVIER-STOKES EQUATIONS; CLASSICAL-SOLUTIONS; DEGENERATE VISCOSITIES; FLUIDS;

D O I：

10.1016/j.jmaa.2017.04.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the 3-D compressible MHD equations without thermal conductivity are considered. The existence of unique local classical solutions to the initial boundary value problem with Dirichlet or Navier-Slip boundary condition is established when the initial data are arbitrarily large, contains vacuum and satisfies some initial layer compatibility condition. The initial density needs not to be bounded away from zero and may vanish in some open set. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：410 / 433

页数：24

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