TIME PERIODIC SOLUTIONS OF NON-ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM

被引:0
|
作者
Xu, Qiuju [1 ]
Cai, Hong [1 ]
Tan, Zhong [1 ]
机构
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
基金
中国国家自然科学基金;
关键词
non-isentropic compressible magnetohydrodynamic system; time periodic solution; optimal time decay rates; energy estimates; CLASSICAL-SOLUTIONS; BOLTZMANN-EQUATION; CONVERGENCE-RATES; GLOBAL-SOLUTIONS; EXISTENCE;
D O I
10.1016/S0252-9602(14)60153-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the non-isentropic compressible magnetohydrodynamic system with a time periodic external force in 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.
引用
收藏
页码:216 / 234
页数:19
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