Existence for the compressible magnetohydrodynamic equations with vacuum

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:453

Article

Xi, Shuai¹  Hao, Xingwen² 

[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

关键词: MHD;    Classical solutions;    Vacuum;   

DOI  :  10.1016/j.jmaa.2017.04.007

来源: Elsevier

【 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.

【 授权许可】

Free