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
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
收藏
页码:159 / 182
页数:24
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