On the free boundary problem to the two viscous immiscible fluids

doi:10.1016/j.jde.2009.11.001

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	On the free boundary problem to the two viscous immiscible fluids
	Xu, Li1 ; Zhang, Zhifei 2
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2010-03-01
卷号	248 期号:5 页码:1044-1111
关键词	Navier-Stokes equations Free boundary problem Sobolev-Slobodetski space
ISSN号	0022-0396
DOI	10.1016/j.jde.2009.11.001
英文摘要	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.
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
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000274921700004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9992]
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.