Vanishing shear viscosity limit and boundary layer study for the planar MHD system

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

5 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)1139-1174
Journal / PublicationMathematical Models and Methods in Applied Sciences
Volume29
Issue number6
Online published28 Mar 2019
Publication statusPublished - 15 Jun 2019

Abstract

We consider an initial boundary problem for the planar MHD system under the general condition on the heat conductivity coefficient that depends on both the temperature and the density. Firstly, the global existence of strong solution for large initial data is obtained, and then the limit of the vanishing shear viscosity is justified. In addition, the L2 convergence rate is obtained together with the estimation on the thickness of the boundary layer.

Research Area(s)

  • boundary layer, global existence, MHD system, vanishing shear viscosity