The one-phase Hele-Shaw problem with singularities

被引：8

作者：

Jerison, D ^{[1
]}

Kim, I

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2005年 / 15卷 / 04期

基金：

美国国家科学基金会;

关键词：

free boundary; singularity analysis; viscosity solutions; Hele-Shaw flow;

D O I：

10.1007/BF02922248

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we analyze viscosity solutions of the one phase Hele-Shaw problem in the plane and the corresponding free boundaries near a singularity We find, up to order of magnitude, the speed at which the free boundary moves starting from a wedge, cusp, or finger-type singularity. Maximum principle-type arguments play a key role in the analysis.

引用

页码：641 / 667

页数：27

共 9 条

[1] Regularity of the free boundary in parabolic phase-transition problems [J].