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 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 periodi...

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Bibliographic Details
Published inActa mathematica scientia Vol. 35; no. 1; pp. 216 - 234
Main Author 许秋菊 蔡虹 谭忠
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2015
School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
Subjects
35B10
35M10
35Q35
Compressibility
Decay rate
energy estimates
Energy methods
Mathematical analysis
non-isentropic compressible magnetohydrodynamic system
optimal time decay rates
Optimization
Spectra
Stability
time periodic solution
Uniqueness
光谱分析
压缩映射原理
可压缩
时间周期解
最佳时间
次周期性
流体系统
等熵压缩
optimal time decay rates
energy estimates
non-isentropic compressible magnetohydrodynamic system
35Q35
35B10
time periodic solution
35M10
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(14)60153-3

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Summary: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.
Bibliography: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.
non-isentropic compressible magnetohydrodynamic system; time periodic solution; optimal time decay rates; energy estimates
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ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(14)60153-3