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Porous media: the Muskat problem in 3D


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Author: Córdoba Barba, Antonio
Córdoba Gazolaz, Diego
Gancedo García, Francisco
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2013
Published in: Analysis and PDE, 6 (2), 447-497.
Document type: Article
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 RayleighTaylor condition, and the topology of the initial interface, in order to prove its local existence in Sobolev spaces.
Cite: Córdoba Barba, A., Córdoba Gazolaz, D. y Gancedo García, F. (2013). Porous media: the Muskat problem in 3D. Analysis and PDE, 6 (2), 447-497.
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DOI: 10.2140/apde.2013.6.447

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