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Contour dynamics of incompressible 3-D fluids in a porous medium with different densities

 

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Opened Access Contour dynamics of incompressible 3-D fluids in a porous medium with different densities
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Author: Córdoba Gazolaz, Diego
Gancedo García, Francisco
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2007-07
Published in: Communications in Mathematical Physics, 273 (2), 445-471.
Document type: Article
Abstract: We consider the problem of the evolution of the interface given by two incompressible fluids through a porous medium, which is known as the Muskat problem and in two dimensions it is mathematically analogous to the two-phase Hele-Shaw cell. We focus on a fluid interface given by a jump of densities, being the equation of the evolution obtained using Darcy’s law. We prove local well-posedness when the smaller density is above (stable case) and in the unstable case we show ill-posedness.
Cite: Córdoba Gazolaz, D. y Gancedo García, F. (2007). Contour dynamics of incompressible 3-D fluids in a porous medium with different densities. Communications in Mathematical Physics, 273 (2), 445-471.
Size: 292.4Kb
Format: PDF

URI: http://hdl.handle.net/11441/45194

DOI: 10.1007/s00220-007-0246-y

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