Articles

WELL-POSEDNESS IN CRITICAL SPACES FOR THE FULL COMPRESSIBLE MHD EQUATIONS

  • BIAN Dong-Fen ,
  • GUO Bo-Ling
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  • The Graduate School of China Academy of Engineering Physics, Beijing 100088, China; Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received date: 2011-10-13

  Revised date: 2012-01-06

  Online published: 2013-07-20

Abstract

In this paper we prove local well-posedness in critical Besov spaces for the full compressible MHD equations in RN, N ≥2, under the assumptions that the initial density is bounded away from zero. The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection term.

Cite this article

BIAN Dong-Fen , GUO Bo-Ling . WELL-POSEDNESS IN CRITICAL SPACES FOR THE FULL COMPRESSIBLE MHD EQUATIONS[J]. Acta mathematica scientia, Series B, 2013 , 33(4) : 1153 -1176 . DOI: 10.1016/S0252-9602(13)60071-5

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