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

Authors: Dongfen Bian, Baoquan Yuan

Addresses: School of Mathematics and Information Science, Henan Polytechnic University, Henan Province, 454000, China. ' School of Mathematics and Information Science, Henan Polytechnic University, Henan Province, 454000, China

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.

Keywords: compressible MHD equations; super critical Besov spaces; Littlewood-Paley theory; local well-posedness; initial density; hyperbolic-parabolic linear systems; compressible magnetohydrodynamics.

DOI: 10.1504/IJDSDE.2011.041882

International Journal of Dynamical Systems and Differential Equations, 2011 Vol.3 No.3, pp.383 - 399

Published online: 24 Jan 2015 *

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