Time periodic solutions of non-isentropic compressible magnetohydrodynamic system

In this paper, we study the non-isentropic compressible magnetohydrodynamic system with a time periodic external force in ℝn. Under the condition that the optimal time decay rates are obtained by spectral analysis, we show that the existence, uniqueness and time-asymptotic stability of time periodic solutions when the space dimension n ≥ 5. Our proof is based on a combination of the energy method and the contraction mapping theorem.