Abstract
The Muskat problem involves filtration of two incompressible fluids through a porous medium. We consider the problem in three dimensions, discussing the relevance of the Rayleigh–Taylor condition and the topology of the initial interface, in order to prove the local existence of solutions in Sobolev spaces.
Citation
Antonio Córdoba. Diego Córdoba. Francisco Gancedo. "Porous media: The {M}uskat problem in three dimensions." Anal. PDE 6 (2) 447 - 497, 2013. https://doi.org/10.2140/apde.2013.6.447
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