TIME PERIODIC SOLUTIONS OF NON-ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM  

作　　者：许秋菊 蔡虹 谭忠 

机构地区：[1]School of Mathematical Sciences, Xiamen University

出　　处：《Acta Mathematica Scientia》2015年第1期216-234,共19页数学物理学报（B辑英文版）

基　　金：Supported by National Natural Science Foundation of China(11271305)

摘　　要：In this paper, we study the non-isentropic compressible magnetohydrodynamic system with a time periodic external force in R^n. 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.In this paper, we study the non-isentropic compressible magnetohydrodynamic system with a time periodic external force in R^n. 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.

关 键 词：non-isentropic compressible magnetohydrodynamic system time periodic solution optimal time decay rates energy estimates 

分 类 号：O175[理学—数学] O361.3[理学—基础数学]