Porous media: the Muskat problem in 3D

Details Porous media: the Muskat problem in 3D Porous media: the Muskat problem in 3D

2010-05-19

arxiv.org/abs/1005.3536v1

Mathematics

Analysis of PDEs

48 pages

Scientific paper

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.

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