Analytical and Computational Challenges of Incompressible Flows at High Reynolds Number

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Contour Dynamics of Incompressible 3-D Fluids in a Porous

Diego Cordoba

                                            Instituto de Matematicas y Fisica Fundamental, Consejo Superior de
                                      Investigaciones Cientificas

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.
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