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arXiv · 1005.3536

Porous media: the Muskat problem in 3D

Antonio Cordoba·Diego Cordoba·Francisco Gancedo
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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.

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Antonio Cordoba, Diego Cordoba, Francisco Gancedo. 2010-05-19. Porous media: the Muskat problem in 3D. https://arxiv.org/abs/1005.3536

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