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

被引：77

作者：

Chen, Qing ^{[1
]}

Tan, Zhong ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Magnetohydrodynamics; Compressible; Global existence; Smooth solutions; L-p-L-q convergence rates; NAVIER-STOKES EQUATIONS; EXTERIOR DOMAIN; VISCOUS-FLUID; MOTION; FORCE;

D O I：

10.1016/j.na.2010.02.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the global existence and convergence rates of the smooth solutions for the compressible magnetohydrodynamic equations in R-3. We prove the global existence of the smooth solutions by the standard energy method under the condition that the initial data are close to the constant equilibrium state in H-3-framework. Moreover, if additionally the initial data belong to L-p with 1 <= p < 6/5, the optimal convergence rates of the solutions in L-q-norm with 2 <= q <= 6 and its spatial derivatives in L-2-norm are obtained. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：4438 / 4451

页数：14

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