Well-Posedness in Critical Spaces for the Full Compressible Mhd Equations

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.