Global existence and the low Mach number limit for the compressible magnetohydrodynamic equations in a bounded domain with perfectly conducting boundary

被引：30
作者：
Dou, Changsheng [1 ,2 ]
Jiang, Song [2 ]
Ju, Qiangchang [2 ]
机构：
[1] Capital Univ Econ & Business, Sch Stat, Beijing 100070, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2013年 / 64卷 / 06期
基金：
中国博士后科学基金;
关键词：
Magnetohydrodynamic equations; Bounded domain; Global existence; Low Mach number limit; NAVIER-STOKES EQUATIONS; INCOMPRESSIBLE LIMIT; VISCOSITY LIMIT; SINGULAR LIMITS; WEAK SOLUTIONS; FLOWS; FLUIDS; SYSTEMS;
D O I：
10.1007/s00033-013-0311-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the compressible magnetohydrodynamic equations in a bounded smooth domain in with perfectly conducting boundary, and prove the global existence and uniqueness of smooth solutions around a rest state. Moreover, the low Mach limit of the solutions is verified for all time, provided that the initial data are well prepared.
引用
收藏
页码：1661 / 1678
页数：18
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