Porous media: the Muskat problem in 3D - Mathematics > Analysis of PDEsReport as inadecuate




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Abstract: The Muskat problem involves filtration of two incompressible fluidsthroughout a porous medium. In this paper we shall discuss in 3-D the relevanceof the Rayleigh-Taylor condition, and the topology of the initial interface, inorder to prove its local existence in Sobolev spaces.



Author: Antonio Cordoba, Diego Cordoba, Francisco Gancedo

Source: https://arxiv.org/







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