Well-posedness in super critical Besov spaces for the compressible MHD equations

Author: Bian Dongfen  

Publisher: Inderscience Publishers

ISSN: 1752-3583

Source: International Journal of Dynamical Systems and Differential Equations, Vol.3, Iss.3, 2011-08, pp. : 383-399

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Abstract

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