On the local wellposedness of 3-D water wave problem with vorticity

doi:10.1007/s11425-007-0111-7

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	On the local wellposedness of 3-D water wave problem with vorticity
	Zhang, Ping; Zhang, Zhi-fei
	2007-08-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	50 期号:8 页码:1065-1077
摘要	In this article, we first present an equivalent formulation of the free boundary problem to 3-D incompressible Euler equations, then we announce our local wellposedness result concerning the free boundary problem in Sobolev space provided that there is no self- intersection point on the initial surface and under the stability assumption that partial derivative p/partial derivative n(xi)t=o <= -2co < 0 with xi being restricted to the initial surface.
关键词	water-waves free boundary incompressible Euler equations
DOI	10.1007/s11425-007-0111-7
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000249241700001
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4415
专题	数学所
通讯作者	Zhang, Ping
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Ping,Zhang, Zhi-fei. On the local wellposedness of 3-D water wave problem with vorticity[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2007,50(8):1065-1077.
APA	Zhang, Ping,&Zhang, Zhi-fei.(2007).On the local wellposedness of 3-D water wave problem with vorticity.SCIENCE IN CHINA SERIES A-MATHEMATICS,50(8),1065-1077.
MLA	Zhang, Ping,et al."On the local wellposedness of 3-D water wave problem with vorticity".SCIENCE IN CHINA SERIES A-MATHEMATICS 50.8(2007):1065-1077.