On the free boundary problem to the two viscous immiscible fluids

被引：20
|
作者：
Xu, Li [1 ]
Zhang, Zhifei [2 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 248卷 / 05期
关键词：
Navier-Stokes equations; Free boundary problem; Sobolev-Slobodetski space; INCOMPRESSIBLE EULER EQUATIONS; NAVIER-STOKES EQUATIONS; WATER-WAVE PROBLEM; WELL-POSEDNESS; FREE-SURFACE; SOBOLEV SPACES; TIME EXISTENCE; TENSION;
D O I：
10.1016/j.jde.2009.11.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页码：1044 / 1111
页数：68
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