Cauchy problem for viscous rotating shallow water equations

doi:10.1016/j.jde.2009.09.008

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	Cauchy problem for viscous rotating shallow water equations
	Hao, Chengchun1,2 ; Hsiao, Ling 1; Li, Hai-Liang 3
	2009-12-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	247 期号:12 页码:3234-3257
摘要	We consider the Cauchy problem for a viscous compressible rotating shallow water system with a third-order surface-tension term involved, derived recently in the modeling of motions for shallow water with free surface in a rotating sub-domain Marche (2007) [19]. The global. existence of the solution in the space of Besov type is shown for initial data close to a constant equilibrium state away from the vacuum. Unlike the previous analysis about the compressible fluid model without Coriolis forces, see for instance Danchin (2000) [10], Haspot (2009) [16], the rotating effect causes a coupling between two parts of Hodge's decomposition of the velocity vector field, and additional regularity is required in order to carry out the Friedrichs' regularization and compactness arguments. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Viscous compressible rotating shallow water system Cauchy problem Global well-posedness Besov spaces
DOI	10.1016/j.jde.2009.09.008
语种	英语
资助项目	National Natural Science Foundation of China (NSFC)[10601061] ; National Natural Science Foundation of China (NSFC)[10871134] ; Scientific Research Startup Special Foundation ; Chinese Academy of Sciences ; Ministry of Education of China, Chuang Xin Ren Cai Project of Beijing Municipal Commission of Education ; Huo Ying Dong Foundation[111033]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000271664900004
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8281
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 3.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
推荐引用方式 GB/T 7714	Hao, Chengchun,Hsiao, Ling,Li, Hai-Liang. Cauchy problem for viscous rotating shallow water equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2009,247(12):3234-3257.
APA	Hao, Chengchun,Hsiao, Ling,&Li, Hai-Liang.(2009).Cauchy problem for viscous rotating shallow water equations.JOURNAL OF DIFFERENTIAL EQUATIONS,247(12),3234-3257.
MLA	Hao, Chengchun,et al."Cauchy problem for viscous rotating shallow water equations".JOURNAL OF DIFFERENTIAL EQUATIONS 247.12(2009):3234-3257.