Abstract:The local existence of solutions for the compressible magnetohydrodynamic equations with slip boundary conditions in a bounded domain Ω⊂R3 was studied. First, the linearized compressible magnetohydrodynamic equations were constructed. Next, the Galerkin method was used to prove the local existence of solutions for the linearized compressible magnetohydrodynamic equations. And then, through the solution iteration of the linearized compressible magnetohydrodynamic equations, an approximation solution sequence of the original equations was constructed and the solution was proved to be convergent by using the energy estimate and the second order elliptic estimate, which turns to prove the local existence of solutions for the compressible magnetohydrodynamic equations.