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The Decay Estimates for Magnetohydrodynamic Equations with Coulomb Force

Authors
  • Zheng, Wenxuan1, 2
  • Tan, Zhong1
  • 1 Xiamen University, Xiamen, 361005, China , Xiamen (China)
  • 2 Tarim University, Alar, 843300, China , Alar (China)
Type
Published Article
Journal
Acta Mathematica Scientia
Publisher
Springer-Verlag
Publication Date
Oct 10, 2020
Volume
40
Issue
6
Pages
1928–1940
Identifiers
DOI: 10.1007/s10473-020-0620-9
Source
Springer Nature
Keywords
License
Yellow

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.

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