数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (1): 216-234.doi: 10.1016/S0252-9602(14)60153-3

• 论文 • 上一篇    下一篇

TIME PERIODIC SOLUTIONS OF NON-ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM

许秋菊|蔡虹|谭忠   

  1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
  • 收稿日期:2013-11-26 修回日期:2014-03-17 出版日期:2015-01-20 发布日期:2015-01-20
  • 通讯作者: 蔡虹,caihong19890418@163.com E-mail:smlynice@163.com; caihong19890418@163.com; ztan85@163.com
  • 基金资助:

    Supported by National Natural Science Foundation of China (11271305).

TIME PERIODIC SOLUTIONS OF NON-ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM

XU Qiu Ju,CAI Hong,TAN Zhong   

  1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
  • Received:2013-11-26 Revised:2014-03-17 Online:2015-01-20 Published:2015-01-20
  • Contact: CAI Hong,caihong19890418@163.com E-mail:smlynice@163.com; caihong19890418@163.com; ztan85@163.com
  • Supported by:

    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 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.

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

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

中图分类号: 

  • 35M10