Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (1): 83-95.

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The Inviscid and Non-Resistive Limit for 3D Nonhomogeneous Incompressible MHD Equations with a Slip Boundary Condition

Chen Pengfei   

  1. School of Mathematics and Computational Science, Xiangtan University, Hunan Xiangtan 411105
  • Received:2016-10-28 Revised:2017-01-16 Online:2018-02-26 Published:2018-02-26
  • Supported by:
    Supported by Hunan Provincial Innovation Foundation For Postgraduate (CX2015B205) and partially by Research Fund for the Doctoral Program of Higher Education of China (20134301110008)

Abstract: In this paper, we investigate the inviscid and non-resistive limit of the 3D nonhomogeneous incompressible magnetohydrodynamic (MHD) equations in a class of bounded smooth domain with a slip boundary condition. We obtain the estimates on the rate of convergence in C([0,T],H2(Ω)).

Key words: Nonhomogeneous incompressible MHD equations, The inviscid and non-resistive limit, Slip boundary conditions

CLC Number: 

  • O175.25
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