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The full compressible magnetohydrodynamic system in three-dimensionalexterior domains is investigated. For the initial-boundary-value problem ofthis system with slip boundary condition for the velocity, adiabatic one forthe temperature, and perfect one for the magnetic field, the global existenceand uniqueness of classical solutions is established, under the condition thatthe initial data are of small energy but possibly large oscillations. Inparticular,the initial density and temperature are both allowed to vanish.Moreover, the large-time behavior of the classical solutions is also obtained.

Global Classical Solutions to Full Compressible Magnetohydrodynamic System with Large Oscillations and Vacuum in 3D Exterior Domains