GLOBAL EXISTENCE AND CONVERGENCE RATES OF SMOOTH SOLUTIONS FOR THE 3-D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITHOUT HEAT CONDUCTIVITY

被引：10

作者：

Gao, Zhensheng ^{[1
]}

Tan, Zhong ^{[2
]}

Wu, Guochun ^{[2
]}

机构：

[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2014年 / 34卷 / 01期

基金：

中国国家自然科学基金;

关键词：

magnetohydrodynamics; optimal convergence rate; decay-in-time estimates; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; MOTION;

D O I：

10.1016/S0252-9602(13)60129-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we are concerned with the global existence and convergence rates of the smooth solutions for the compressible magnetohydrodynamic equations without heat conductivity, which is a hyperbolic-parabolic system. The global solutions are obtained by combining the local existence and a priori estimates if H-3-norm of the initial perturbation around a constant states is small enough and its L-1-norm is bounded. A priori decay-in-time estimates on the pressure, velocity and magnetic field are used to get the uniform bound of entropy. Moreover, the optimal convergence rates are also obtained.

引用

页码：93 / 106

页数：14

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