Global existence and convergence rates of smooth solutions for the full compressible MHD equations

被引：71

作者：

Pu, Xueke ^{[1
]}

Guo, Boling ^{[2
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, 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 / 03期

基金：

中国国家自然科学基金;

关键词：

Compressible magnetohydrodynamic equations; Global smooth solutions; Convergence rate; NAVIER-STOKES EQUATIONS; VANISHING SHEAR VISCOSITY; HEAT-CONDUCTIVE FLUIDS; INITIAL-VALUE-PROBLEM; MAGNETOHYDRODYNAMIC EQUATIONS; EXTERIOR DOMAIN; HALF-SPACE; MOTION; FLOWS; BEHAVIOR;

D O I：

10.1007/s00033-012-0245-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the global smooth solutions and their decay for the full compressible magnetohydrodynamic equations in R (3). We prove the global existence of smooth solutions near the constant state in Sobolev norms by energy method and show the convergence rates of the L (p) -norm of these solutions to the constant state when the L (q) -norm of the perturbation is bounded.

引用

页码：519 / 538

页数：20

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