ON THE CONTINUOUS PERIODIC WEAK SOLUTIONS OF BOUSSINESQ EQUATIONS

doi:10.1137/17M1115526

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 数学所

	ON THE CONTINUOUS PERIODIC WEAK SOLUTIONS OF BOUSSINESQ EQUATIONS
	Tao, Tao 1; Zhang, Liqun2,3
刊名	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
	2018
卷号	50 期号:1 页码:1120-1162
关键词	Boussinesq equations continuous periodic weak solutions prescribed kinetic
ISSN号	0036-1410
DOI	10.1137/17M1115526
英文摘要	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.
资助项目	Chinese NSF grants[11471320] ; Chinese NSF grants[11631008]
WOS研究方向	Mathematics
语种	英语
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:000426630900035
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/30070]
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.