A two-phase flow with a viscous and an inviscid fluid

被引：2
|
作者：
Schweizer, B [1 ]
机构：
[1] Univ Heidelberg, Inst Angew Math, D-69120 Heidelberg, Germany
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2000年 / 25卷 / 5-6期
关键词：
D O I：
10.1080/03605300008821535
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the free boundary between a viscous and an inviscid fluid satisfying the Navier-Stokes and Euler equations respectively. Surface tension is incorporated. We read the equations as a free boundary problem for one viscous fluid with a nonlocal boundary force. We decompose the pressure distribution in the inviscid fluid into two contributions. A positivity result for the first, and a compactness property for the second contribution are derived. We prove a short time existence theorem for the two-phase problem.
引用
收藏
页码：887 / 901
页数：15
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