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arXiv · 1604.01660

Local-existence for the Inhomogeneous Muskat problem

Tania Pernas-Castaño
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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.

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Tania Pernas-Castaño. 2017-01-20. Local-existence for the Inhomogeneous Muskat problem. https://doi.org/10.1088/1361-6544%2Faa6691

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