Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero

Danielle Hilhorst (LM-Orsay); Marie Henry; Robert Eymard (LAMA)

arxiv: 0910.4003 · v1 · pith:KOG2RYLInew · submitted 2009-10-21 · 🧮 math.NA · cs.NA· math.AP

Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero

Robert Eymard (LAMA) , Marie Henry , Danielle Hilhorst (LM-Orsay) This is my paper

classification 🧮 math.NA cs.NAmath.AP

keywords flowlimitporousproblemsingulartendstwo-phaseviscosity

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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.

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Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero

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