Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero
Marie Henry - CMI, Université de Provence, 39 rue Frédéric Joliot-Curie 13453 Marseille cedex 13, France (email)
Abstract: In this paper we consider a two-phase flow problem in porous media and study its singular limit as the viscosity of the air tends to zero; more precisely, we prove the convergence of subsequences to solutions of a generalized Richards model.
Keywords: Degenerate parabolic-elliptic system,
existence of weak solutions, singular limit, two phase flow in porous media.
Received: June 2009; Revised: December 2009; Available Online: February 2011.
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