On a Saffman-Taylor problem in an infinite wedge

被引：0
|
作者：
Markina, Irina
Meneses, Rodrigo
Vasil'ev, Alexander
机构：
[1] Univ Bergen, Dept Math, N-5008 Bergen, Norway
[2] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile
来源：
APPLICABLE ANALYSIS | 2007年 / 86卷 / 02期
关键词：
Hele-Shaw problem; Saffman-Taylor finger; conformal map;
D O I：
10.1080/00036810601148224
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a zero-surface-tension two-dimensional Hele-Shaw flow in an infinite wedge. There exists a self-similar interface evolution in this wedge, an analogue of the famous Saffman-Taylor finger in a channel, exact shape of which has been given by Kadanoff. One of the main features of this evolution is its infinite time of existence and stability for the Hadamard ill-posed problem. We derive several exact solutions existing infinitely by generalizing and perturbing the one given by Kadanoff.
引用
收藏
页码：239 / 250
页数：12
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