Well-posedness in super critical Besov spaces for the compressible MHD equations
by Dongfen Bian, Baoquan Yuan
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 3, No. 3, 2011

Abstract: In this paper we prove local well-posedness in super critical Besov spaces for the compressible MHD equations in R^N, 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.

Online publication date: Sat, 24-Jan-2015

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