POROUS MEDIA: THE MUSKAT PROBLEM IN THREE DIMENSIONS

被引：31

作者：

Cordoba, Antonio ^{[1
,2
]}

Cordoba, Diego ^{[3
]}

Gancedo, Francisco ^{[4
]}

机构：

[1] Univ Autonoma Madrid, UCM, UC3M, Inst Ciencias Matemat,CSIC, E-28049 Madrid, Spain

[2] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

[3] CSIC, Inst Ciencias Matemat, Madrid 28006, Spain

[4] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

ANALYSIS & PDE | 2013年 / 6卷 / 02期

基金：

美国国家科学基金会;

关键词：

porous media; incompressible flow; free boundary; Muskat problem; local existence; POSEDNESS; FLUIDS;

D O I：

10.2140/apde.2013.6.447

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Muskat problem involves filtration of two incompressible fluids through a porous medium. We consider the problem in three dimensions, discussing the relevance of the Rayleigh-Taylor condition and the topology of the initial interface, in order to prove the local existence of solutions in Sobolev spaces.

引用

页码：447 / 497

页数：51

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