Article
Contour dynamics of incompressible 3-D fluids in a porous medium with different densities
Author/s | Córdoba Gazolaz, Diego
Gancedo García, Francisco |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2007-07 |
Deposit Date | 2016-09-21 |
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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 ... 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. |
Citation | 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. |
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