Articles

DIFFUSION VANISHING LIMIT OF THE NONLINEAR PIPE MAGNETOHYDRODYNAMIC FLOW WITH FIXED VISCOSITY

  • Zhonglin WU ,
  • Shu WANG
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  • 1. College of Mathematics and Statistics, Huanghuai University, Zhumadian 463000, China;
    2. College of Applied Science, Beijing University of Technology, Beijing 100124, China

Received date: 2016-10-08

  Revised date: 2017-10-25

  Online published: 2018-04-25

Supported by

The author is supported by Natural Science fund of Henan Province (162300410084), and the Key Research Fund of Henan Province (16A110019), BSFC (1132006), CIT & TCD (20130312).

Abstract

We establish magnetic diffusion vanishing limit of the nonlinear pipe Magnetohydrodynamic flow by the mathematical validity of the Prandtl boundary layer theory with fixed viscosity. The convergence is verified under various Sobolev norms, including the L(L2) and L(H1) norm.

Cite this article

Zhonglin WU , Shu WANG . DIFFUSION VANISHING LIMIT OF THE NONLINEAR PIPE MAGNETOHYDRODYNAMIC FLOW WITH FIXED VISCOSITY[J]. Acta mathematica scientia, Series B, 2018 , 38(2) : 627 -642 . DOI: 10.1016/S0252-9602(18)30770-7

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