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

Marie Henry; Danielle Hilhorst; Robert Eymard

doi:10.3934/dcdss.2012.5.93

Article Contents

2012, Volume 5, Issue 1: 93-113. Doi: 10.3934/dcdss.2012.5.93

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

1.
CMI, Université de Provence, 39 rue Frédéric Joliot-Curie 13453 Marseille cedex 13
2.
CNRS and Laboratoire de Mathématiques, Université de Paris-Sud 11, F-91405 Orsay Cedex
3.
Université Paris-Est Marne-La-Vallée, 5 bd Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée Cedex 2

Received: May 31, 2009

Revised: November 30, 2009

Published: January 2012

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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.

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Mathematics Subject Classification: 35K65, 35D30, 35B25.

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References

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