CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH SURFACE TENSION

doi:10.3934/dcdsb.2010.13.593

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	CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH SURFACE TENSION
	Hao, Chengchun1,2
	2010-05-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	13 期号:3 页码:593-608
摘要	We are concerned with the Cauchy problem for a viscous shallow water system with a third-order surface-tension term. The global existence and uniqueness of the solution in the space of Besov type is shown for the initial data close to a constant equilibrium state away from the vacuum by using the Friedrich's regularization and compactness arguments.
关键词	Shallow water equation with surface tension Littlewood-Paley decomp osition homogeneous Besov space global-in-time solution
DOI	10.3934/dcdsb.2010.13.593
语种	英语
资助项目	Scientific Research Startup Special Foundation ; Prize of President Scholarship of Chinese Academy of Sciences ; NSFC[10601061] ; NSFC[10871134]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000275049700005
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10903
专题	数学所
通讯作者	Hao, Chengchun
作者单位	1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Hao, Chengchun. CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH SURFACE TENSION[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2010,13(3):593-608.
APA	Hao, Chengchun.(2010).CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH SURFACE TENSION.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,13(3),593-608.
MLA	Hao, Chengchun."CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH SURFACE TENSION".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 13.3(2010):593-608.