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ON THE CONTINUOUS PERIODIC WEAK SOLUTIONS OF BOUSSINESQ EQUATIONS
Tao, Tao1; Zhang, Liqun2,3
2018
Source PublicationSIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN0036-1410
Volume50Issue:1Pages:1120-1162
AbstractThe 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.
KeywordBoussinesq equations continuous periodic weak solutions prescribed kinetic
DOI10.1137/17M1115526
Language英语
Funding ProjectChinese NSF grants[11471320] ; Chinese NSF grants[11631008]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000426630900035
PublisherSIAM PUBLICATIONS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30071
Collection数学所
Corresponding AuthorTao, Tao
Affiliation1.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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