ON THE CONTINUOUS PERIODIC WEAK SOLUTIONS OF BOUSSINESQ EQUATIONS

doi:10.1137/17M1115526

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	ON THE CONTINUOUS PERIODIC WEAK SOLUTIONS OF BOUSSINESQ EQUATIONS
	Tao, Tao 1; Zhang, Liqun2,3
	2018
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	50 期号:1 页码:1120-1162
摘要	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.
关键词	Boussinesq equations continuous periodic weak solutions prescribed kinetic
DOI	10.1137/17M1115526
语种	英语
资助项目	Chinese NSF grants[11471320] ; Chinese NSF grants[11631008]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000426630900035
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30071
专题	数学所
通讯作者	Tao, Tao
作者单位	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
推荐引用方式 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.