Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero. (English) Zbl 1364.35118
Summary: 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.
MSC:
35K40 | Second-order parabolic systems |
35B25 | Singular perturbations in context of PDEs |
35D30 | Weak solutions to PDEs |
35K65 | Degenerate parabolic equations |
76S05 | Flows in porous media; filtration; seepage |