Well-posedness of the water-wave problem with surface tension

doi:10.1016/j.matpur.2009.05.005

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	Well-posedness of the water-wave problem with surface tension
	Ming, Mei 3; Zhang, Zhifei 1,2
	2009-11-01
发表期刊	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN	0021-7824
卷号	92 期号:5 页码:429-455
摘要	In this paper, we prove the local well-posedness of the water-wave problem with surface tension in the case of finite depth by working in the Eulerian setting. For the flat bottom, as surface tension tends to zero, the Solution of the water-wave problem with surface tension converges to the solution of the water-wave problem without surface tension. (C) 2009 Elsevier Masson SAS. All rights reserved.
关键词	Water waves Dirichlet-Neumann operator Surface tension
DOI	10.1016/j.matpur.2009.05.005
语种	英语
资助项目	Department of Mathematics of Paris-Sud University
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000272365100001
出版者	GAUTHIER-VILLARS/EDITIONS ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7119
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Zhifei
作者单位	1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Univ Paris 11, Dept Math, F-91405 Orsay, France 3.CAS, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ming, Mei,Zhang, Zhifei. Well-posedness of the water-wave problem with surface tension[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2009,92(5):429-455.
APA	Ming, Mei,&Zhang, Zhifei.(2009).Well-posedness of the water-wave problem with surface tension.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,92(5),429-455.
MLA	Ming, Mei,et al."Well-posedness of the water-wave problem with surface tension".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 92.5(2009):429-455.