ON THE CONTINUOUS PERIODIC WEAK SOLUTIONS OF BOUSSINESQ EQUATIONS | |
Tao, Tao1; Zhang, Liqun2,3![]() | |
2018 | |
Source Publication | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
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ISSN | 0036-1410 |
Volume | 50Issue:1Pages:1120-1162 |
Abstract | The Boussinesq equation was introduced in understanding the coupling nature of thermodynamics and fluid dynamics. We show the existence of continuous periodic weak solutions of the Boussinesq equation, which satisfies the prescribed kinetic energy or some other prescribed property. Our results indicate that there are conversions between internal energy and mechanical energy. |
Keyword | Boussinesq equations continuous periodic weak solutions prescribed kinetic |
DOI | 10.1137/17M1115526 |
Language | 英语 |
Funding Project | Chinese NSF grants[11471320] ; Chinese NSF grants[11631008] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:000426630900035 |
Publisher | SIAM PUBLICATIONS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/30071 |
Collection | 数学所 |
Corresponding Author | Tao, Tao |
Affiliation | 1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
Recommended Citation GB/T 7714 | Tao, Tao,Zhang, Liqun. ON THE CONTINUOUS PERIODIC WEAK SOLUTIONS OF BOUSSINESQ EQUATIONS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2018,50(1):1120-1162. |
APA | Tao, Tao,&Zhang, Liqun.(2018).ON THE CONTINUOUS PERIODIC WEAK SOLUTIONS OF BOUSSINESQ EQUATIONS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,50(1),1120-1162. |
MLA | Tao, Tao,et al."ON THE CONTINUOUS PERIODIC WEAK SOLUTIONS OF BOUSSINESQ EQUATIONS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 50.1(2018):1120-1162. |
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