On the free boundary problem to the two viscous immiscible fluids

doi:10.1016/j.jde.2009.11.001

	On the free boundary problem to the two viscous immiscible fluids
	Xu, Li1 ; Zhang, Zhifei 2
	2010-03-01
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	248 期号:5 页码:1044-1111
摘要	In this paper, we prove the local solvability of the free boundary problem describing the motion of two layers of immiscible, heavy, viscous, incompressible fluid lying above an infinite rigid bottom and with surface tension on the interfaces, and global solvability near the equilibrium State. Crown Copyright (c) 2009 Published by Elsevier Inc. All rights reserved.
关键词	Navier-Stokes equations Free boundary problem Sobolev-Slobodetski space
DOI	10.1016/j.jde.2009.11.001
语种	英语
资助项目	NSF of China[10525101] ; NSF of China[10990013] ; National 973 project ; Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000274921700004
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/9993
专题	计算数学与科学工程计算研究所
通讯作者	Xu, Li
作者单位	1.CAS, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Xu, Li,Zhang, Zhifei. On the free boundary problem to the two viscous immiscible fluids[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2010,248(5):1044-1111.
APA	Xu, Li,&Zhang, Zhifei.(2010).On the free boundary problem to the two viscous immiscible fluids.JOURNAL OF DIFFERENTIAL EQUATIONS,248(5),1044-1111.
MLA	Xu, Li,et al."On the free boundary problem to the two viscous immiscible fluids".JOURNAL OF DIFFERENTIAL EQUATIONS 248.5(2010):1044-1111.