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

共 20 条

[1]

[Anonymous], 1959, Estratto Ann. Sc. Norm. Super. Pisa

[2] Existence and continuous dependence of large solutions for the magnetohydrodynamic equations [J].

Chen, GQ ;

Wang, DH .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2003, 54 (04) :608-632

[3] Global solutions of nonlinear magnetohydrodynamics with large initial data [J].

Chen, GQ ;

Wang, DH .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 182 (02) :344-376

[4] Global existence and convergence rates of smooth solutions for the compressible magnetohydrodynamic equations [J].

Chen, Qing ;

Tan, Zhong .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (12) :4438-4451

[5] Global variational solutions to the compressible magnetohydrodynamic equations [J].

Fan, Jishan ;

Yu, Wanghui .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) :3637-3660

[6] Strong solution to the compressible magnetohydrodynamic equations with vacuum [J].

Fan, Jishan ;

Yu, Wanghui .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (01) :392-409

[7] Vanishing shear viscosity limit in the magnetohydrodynamic equations [J].

Fan, Jishan ;

Jiang, Song ;

Nakamura, Gen .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 270 (03) :691-708

[8]

Gao J. C., ARXIV150302865

[9] Decay of Dissipative Equations and Negative Sobolev Spaces [J].

Guo, Yan ;

Wang, Yanjin .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2012, 37 (12) :2165-2208

[10] Uniqueness and continuous dependence of weak solutions in compressible magnetohydrodynamics [J].

Hoff, D ;

Tsyganov, E .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2005, 56 (05) :791-804

← 1 2 →