Long-time behavior of solution to the compressible magnetohydrodynamic equations

被引：23

作者：

Gao, Jincheng ^{[1
]}

Chen, Yuhui ^{[2
]}

Yao, Zheng-an ^{[2
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 128卷

关键词：

Compressible magnetohydrodynamic equations; Long-time behavior; Fourier splitting method; CONTINUOUS DEPENDENCE; GLOBAL-SOLUTIONS; WEAK SOLUTIONS; DECAY; EXISTENCE; LIMIT; RATES;

D O I：

10.1016/j.na.2015.07.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the long-time behavior of solution for the compressible magnetohydrodynamic equations in three-dimensional whole space. More precisely, we establish optimal decay rate for the higher-order spatial derivatives of solution, which improves the work of Li and Yu (2011), Chen and Tan (2010). Furthermore, one also investigates the long-time behavior for the mixed space time derivatives of solution. (c) 2015 Elsevier Ltd. All rights reserved.

引用

页码：122 / 135

页数：14

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