On the mushy region arising between two fluids in a porous medium

被引：5

作者：

Bonnet, A

Monneau, R

机构：

[1] Ecole Natl Ponts & Chaussees, CERMICS, F-77455 Marne La Vallee 2, France

[2] Goldman Sachs Int, London, England

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2004年 / 5卷 / 01期

关键词：

free boundary problem; mushy region; blow-up; Darcy's law; porous medium;

D O I：

10.1016/S1468-1218(03)00023-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the mushy region arising between two fluids in a porous medium. We prove that the interior of the mushy region is an epigraph in the horizontal direction. Moreover, when the interior of the mushy region is empty, we give a necessary and sufficient condition to claim that the Lebesgue measure of this mushy region is zero. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：159 / 182

页数：24

共 20 条

[1] VARIATIONAL-PROBLEMS WITH 2 PHASES AND THEIR FREE BOUNDARIES [J].