Local-existence for the Inhomogeneous Muskat problem
Analysis of PDEs
2017-04-26 v2
Abstract
In this work we study the evolution of the interface between two different fluids in a porous media with two different permeabilities. We prove local existence in Sobolev spaces, when the free boundary is given by the discontinuity among the densities and viscosities of the fluids.
Keywords
Cite
@article{arxiv.1604.01660,
title = {Local-existence for the Inhomogeneous Muskat problem},
author = {Tania Pernas-Castaño},
journal= {arXiv preprint arXiv:1604.01660},
year = {2017}
}