Global Classical Solution To The Three-dimensional Full Compressible Magnetohydrodynamic Equations With Large Oscillations And Vacuum

In this paper, we study the Cauchy problem of the full compressible magnetohydro-dynamic (MHD) equations in IR3. For the regular initial data which are of small energy but possibly large oscillations, we establish the global existence and the uniqueness of classical solution, where the initial density may contain vacuum. This result can be viewed as a generation of the one in [18] on the full compressible Navier-Stokes system.