Acta mathematica scientia,Series B ›› 2020, Vol. 40 ›› Issue (6): 1928-1940.doi: 10.1007/s10473-020-0620-9

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THE DECAY ESTIMATES FOR MAGNETOHYDRODYNAMIC EQUATIONS WITH COULOMB FORCE

Wenxuan ZHENG1,2, Zhong TAN3   

  1. 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).

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

CLC Number: 

  • 76W05
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