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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| Published in | Acta mathematica scientia Vol. 35; no. 1; pp. 216 - 234 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
2015
School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0252-9602 1572-9087 |
| DOI | 10.1016/S0252-9602(14)60153-3 |
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| Abstract | 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. |
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| AbstractList | 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 greater than or equal to 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 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. 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. |
| Author | 许秋菊 蔡虹 谭忠 |
| AuthorAffiliation | School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
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| Cites_doi | 10.1016/j.nonrwa.2007.10.001 10.3934/dcds.2006.14.579 10.1016/j.na.2007.10.005 10.1016/j.na.2010.02.019 10.1007/BF03167869 10.1215/kjm/1250522322 10.1017/S0308210509001632 10.1007/s00205-010-0295-9 10.1006/jdeq.2001.4111 10.1016/j.jde.2009.11.031 10.1137/S0036139902409284 10.1007/s00220-004-1062-2 10.3792/pjaa.58.384 10.1142/S0219530506000784 10.1007/s00033-003-1017-z 10.1142/S021820250700208X 10.1007/s00220-008-0497-2 10.1007/s00033-005-4057-8 10.1137/120893355 10.1016/j.na.2012.08.012 10.1007/s00220-007-0366-4 10.1007/BF03167068 |
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| Notes | 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 42-1227/O ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| SubjectTerms | 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 |
| Title | TIME PERIODIC SOLUTIONS OF NON-ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM |
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