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Weak solutions for immiscible compressible multifluid flows in porous media
Authors:Cédric Galusinski  Mazen Saad
Institution:1. MC2 (INRIA Futurs) & Imath, Université du Sud Toulon Var, avenue de l''Université, 83957 La Garde, France;2. École centrale de Nantes, Laboratoire de Mathématique Jean-Leray, UMR CNRS 6629, 1, rue de la Noé, 44321 Nantes, France
Abstract:We consider a multifluid flow model describing evolution of pressures and relative saturations of non-miscible and compressible phases in porous media. This model is obtained by a macroscopic representation of the flow. It takes into account capillary effects and velocity fields are described by Darcy laws. Global weak solutions for such a model is introduced. To cite this article: C. Galusinski, M. Saad, C. R. Acad. Sci. Paris, Ser. I 347 (2009).
Keywords:
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