Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero
arXiv:0910.40034 citations
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Provides a theoretical justification for simplifying two-phase flow models to single-phase Richards models in porous media, relevant to hydrology and geoscience.
The paper proves that as air viscosity tends to zero, solutions of a two-phase flow model in porous media converge to solutions of a generalized Richards model, establishing a rigorous singular limit.
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.