The Decay Estimates for Magnetohydrodynamic Equations with Coulomb Force

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 r...

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Bibliographic Details
Published inActa mathematica scientia Vol. 40; no. 6; pp. 1928 - 1940
Main Authors Zheng, Wenxuan, Tan, Zhong
Format Journal Article
LanguageEnglish
Published Singapore Springer Singapore 01.11.2020
School of Mathematical Sciences, Xiamen University, Xiamen 361005, China,School of Mechanical and Electronic Engineering, Tarim University, Alar 843300, China%School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and Scientific Computiing, Xiamen University, Xiamen 361005, China
Subjects
Analysis
Mathematics
Mathematics and Statistics
energy method
lower convergence rates
upper decay rates
35Q35
spectral analysis
76W05
76X05
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Summary: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.
ISSN:0252-9602
1572-9087
DOI:10.1007/s10473-020-0620-9