Classification of blow-up for Hele-Shaw flow solutions driven by suction

被引：2
作者：
Lin, Yu-Lin [1 ]
机构：
[1] KTH, Dept Math, SE-10044 Stockholm, Sweden
来源：
EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2013年 / 24卷
关键词：
Hele-Shaw; Polubarinova-Galin equation; quadrature domain; Lowner-Kufarev Equation; MOVING BOUNDARY-PROBLEM; SURFACE-TENSION; INTERFACE; EQUATION; DYNAMICS;
D O I：
10.1017/S0956792513000119
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider rational or multi-cut solutions to Hele-Shaw flow driven by suction. A lower bound of the distance between the moving boundary and the suction point is given and this lower bound enables us to find necessary conditions for rational or multi-cut solutions to blow up due to the boundary touching the sink.
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页码：679 / 689
页数：11
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