Porous media: the Muskat problem in 3D
Analysis of PDEs
2010-05-20 v1
Abstract
The Muskat problem involves filtration of two incompressible fluids throughout a porous medium. In this paper we shall discuss in 3-D the relevance of the Rayleigh-Taylor condition, and the topology of the initial interface, in order to prove its local existence in Sobolev spaces.
Cite
@article{arxiv.1005.3536,
title = {Porous media: the Muskat problem in 3D},
author = {Antonio Cordoba and Diego Cordoba and Francisco Gancedo},
journal= {arXiv preprint arXiv:1005.3536},
year = {2010}
}
Comments
48 pages