American Institute of Mathematical Sciences

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2005, 2005(Special): 307-316. doi: 10.3934/proc.2005.2005.307

Water-gas flow in porous media

Cedric Galusinski 1, and  Mazen Saad 2,

1. 

Université Bordeaux-I, Mathématiques Appliquées, 351 Cours de la Libération, 33405 Talence Cedex
2. 

MAB, Université Bordeaux1 and CNRS, 351 cours de libération, 33405 Talence Cedex, France

Received  September 2004 Revised  May 2005 Published  September 2005

The goal of this paper is to establish a global existence theorem for a strongly degenerate problem modeling water-gas flows mixing compressible and incompressible fluids. The problem is strongly nonlinear and an evolution term degenerates as well as a diffusion term.
Keywords: Degenerate problem..
Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C3.
Citation: Cedric Galusinski, Mazen Saad. Water-gas flow in porous media. Conference Publications, 2005, 2005 (Special) : 307-316. doi: 10.3934/proc.2005.2005.307
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