THE DECAY ESTIMATES FOR MAGNETOHYDRODYNAMIC EQUATIONS WITH COULOMB FORCE

doi:10.1007/s10473-020-0620-9

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (6): 1928-1940.doi: 10.1007/s10473-020-0620-9

THE DECAY ESTIMATES FOR MAGNETOHYDRODYNAMIC EQUATIONS WITH COULOMB FORCE

郑文轩^1,2, 谭忠³

1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;
2. School of Mechanical and Electronic Engineering, Tarim University, Alar 843300, China;
3. School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and Scientific Computing, Xiamen University, Xiamen 361005, China

收稿日期:2019-04-30 修回日期:2020-07-22 出版日期:2020-12-25 发布日期:2020-12-30
作者简介:Wenxuan ZHENG,E-mail:zwxtlmdx80@163.com;Zhong TAN,E-mail:ztan85@163.com
基金资助:
The first author was supported by the National Natural Science Foundation of China (11271305, 11531010).

THE DECAY ESTIMATES FOR MAGNETOHYDRODYNAMIC EQUATIONS WITH COULOMB FORCE

Wenxuan ZHENG^1,2, Zhong TAN³

1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;
2. School of Mechanical and Electronic Engineering, Tarim University, Alar 843300, China;
3. School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and Scientific Computing, Xiamen University, Xiamen 361005, China

Received:2019-04-30 Revised:2020-07-22 Online:2020-12-25 Published:2020-12-30
Supported by:
The first author was supported by the National Natural Science Foundation of China (11271305, 11531010).

摘要/Abstract

摘要： In this article we consider the compressible viscous magnetohydrodynamic equations with Coulomb force. By spectral analysis and energy methods, we obtain the optimal time decay estimate of the solution. We show that the global classical solution converges to its equilibrium state at the same decay rate as the solution of the linearized equations.

关键词: lower convergence rates, upper decay rates, spectral analysis, energy method

Abstract: In this article we consider the compressible viscous magnetohydrodynamic equations with Coulomb force. By spectral analysis and energy methods, we obtain the optimal time decay estimate of the solution. We show that the global classical solution converges to its equilibrium state at the same decay rate as the solution of the linearized equations.

Key words: lower convergence rates, upper decay rates, spectral analysis, energy method

中图分类号:

76W05

郑文轩, 谭忠. THE DECAY ESTIMATES FOR MAGNETOHYDRODYNAMIC EQUATIONS WITH COULOMB FORCE[J]. 数学物理学报(英文版), 2020, 40(6): 1928-1940.

Wenxuan ZHENG, Zhong TAN. THE DECAY ESTIMATES FOR MAGNETOHYDRODYNAMIC EQUATIONS WITH COULOMB FORCE[J]. Acta mathematica scientia,Series B, 2020, 40(6): 1928-1940.

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THE DECAY ESTIMATES FOR MAGNETOHYDRODYNAMIC EQUATIONS WITH COULOMB FORCE

THE DECAY ESTIMATES FOR MAGNETOHYDRODYNAMIC EQUATIONS WITH COULOMB FORCE

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