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.
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页码：122 / 135
页数：14
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