Long time regularity of solutions of the Hele-Shaw problem

被引：4
|
作者：
Kim, I [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 12期
关键词：
viscosity solutions; free boundary; Hele-Shaw problem; long time behavior;
D O I：
10.1016/j.na.2005.09.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the long-time behavior of solutions of the one phase Hele-Shaw problem without surface tension. We show that after a finite time solutions of the Hele-Shaw problem become starshaped and Lipschitz continuous in space. Based on this observation we then prove that the free boundary become smooth in space and time with nondegenerate free boundary speed. (c) 2005 Published by Elsevier Ltd.
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页码：2817 / 2831
页数：15
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