Decay rate of strong solution for the compressible magnetohydrodynamic equations with large initial data

被引：2

作者：

Gao, Jincheng ^{[1
]}

Wei, Zhengzhen ^{[1
]}

Yao, Zheng-an ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 102卷

关键词：

Compressible MHD equations; Decay rate; Large initial data; GLOBAL-SOLUTIONS; CONTINUOUS DEPENDENCE; CONVERGENCE-RATES; SMOOTH SOLUTIONS; WEAK SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.aml.2019.106100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the decay rate of strong solution for the compressible magnetohydrodynamics(MHD) equations with large initial data in three-dimensional whole space. First of all, it is shown that both the first and the second order spatial derivatives of magnetic field converge to zero at the same L-2-rate (1 + t)(-5/4). Furthermore, we also prove that the lower bounds of decay rate for the manetic field itself and first order spatial derivative at the L-2 rate are (1 + t)(-3/4) and (1 t)(-5/4) respectively. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：7

共 20 条

[1] 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

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

Chen, GQ ;

Wang, DH .

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

[3] 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

[4] Global stability of large solutions of the 3-D compressible magnetohydrodynamic equations [J].

Chen, Yuhui ;

Huang, Jingchi ;

Xu, Haiyan .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 47 :272-290

[5] The equations of magnetohydrodynamics: On the interaction between matter and radiation in the evolution of gaseous stars [J].

Ducomet, Bernard ;

Feireisl, Eduard .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 266 (03) :595-629

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

Fan, Jishan ;

Yu, Wanghui .

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

[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] Optimal decay rates of classical solutions for the full compressible MHD equations [J].

Gao, Jincheng ;

Tao, Qiang ;

Yao, Zheng-an .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2016, 67 (02)

[9] Long-time behavior of solution to the compressible magnetohydrodynamic equations [J].

Gao, Jincheng ;

Chen, Yuhui ;

Yao, Zheng-an .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 128 :122-135

[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

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