Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (4): 1153-1176.doi: 10.1016/S0252-9602(13)60071-5

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

 BIAN Dong-Fen*, GUO Bo-Ling   

  1. The Graduate School of China Academy of Engineering Physics, Beijing 100088, China; Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2011-10-13 Revised:2012-01-06 Online:2013-07-20 Published:2013-07-20
  • Contact: BIAN Dong-Fen,bian_dongfen@mail.com E-mail:dongfen2005@yahoo.com.cn; bian_dongfen@mail.com;gbl@iapcm.ac.cn

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.

Key words: full compressible MHD equations, Besov spaces, critical spaces, Littlewood-Paley theory, local well-posedness

CLC Number: 

  • 76W05
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