Existence for the compressible magnetohydrodynamic equations with vacuum

In this paper, the 3-D compressible MHD equations without thermal conductivity are considered. The existence of unique local classical solutions to the initial-boundary value problem with Dirichlet or Navier-Slip boundary condition is established when the initial data are arbitrarily large, contains vacuum and satisfies some initial layer compatibility condition. The initial density needs not to be bounded away from zero and may vanish in some open set.