Nonexistence of classical steady Hele-Shaw bubble

被引：0
|
作者：
Me, Xuming [1 ]
机构：
[1] Morgan State Univ, Dept Math, Baltimore, MD 21251 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 03期
关键词：
Steady bubble; Analytic function; Integral-differential equations; Stokes constants; SAFFMAN-TAYLOR FINGERS; SURFACE-TENSION; ANALYTIC THEORY; SELECTION; CELL; PATTERN;
D O I：
10.1016/j.na.2008.02.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper concerns nonexistence of steadily translating bubbles in a Hele-Shaw cell for small but nonzero surface tension. It is proved that for any fixed bubble velocity U relative to the fluid velocity at infinity in the interval (2, infinity), there can be no classical steady bubble solution. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1217 / 1238
页数：22
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