TIME PERIODIC SOLUTIONS OF NON-ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM

doi:10.1016/S0252-9602(14)60153-3

Abstract

Abstract:

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.

Key words: non-isentropic compressible magnetohydrodynamic system, time periodic solution, optimal time decay rates, energy estimates

CLC Number:

35M10

XU Qiu Ju,CAI Hong,TAN Zhong. TIME PERIODIC SOLUTIONS OF NON-ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM[J].Acta mathematica scientia,Series B, 2015, 35(1): 216-234.

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