Strong solution to the compressible magnetohydrodynamic equations with vacuum

We consider the compressible magnetohydrodynamic (MHD) equations with nonnegative thermal conductivity or infinite electric conductivity. We prove the existence of unique local strong Solutions for all initial data satisfying some compatibility condition. The initial density need not be positive and may vanish in an open set. (C) 2007 Elsevier Ltd. All rights reserved.