Two compressible immiscible fluids in porous media

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:244

Article

Galusinski, Cedric^1,2  Saad, Mazen³ 

[1] Univ Sud Toulon Var, MC2 Inria Futurs, F-83957 La Garde, France

[2] Univ Sud Toulon Var, Imath, F-83957 La Garde, France

[3] Univ Nantes, Ecole Cent Nantes, Lab Math Jean Leray, UMR CNRS 6629, F-44321 Nantes, France

关键词: compressible;    porous media;    degenerate system;   

DOI  :  10.1016/j.jde.2008.01.013

来源: Elsevier

【 摘 要 】

We consider a model of flow of two compressible and immiscible phases in a three-dimensional porous media. The equations are obtained by the conservation of the mass of each phase. This model is treated in its general form with the whole nonlinear terms. The only assumption concerns the dependence of densities on a global pressure. We obtain the existence of weak solutions under different kinds of degeneracies of the capillary terms. (C) 2008 Published by Elsevier Inc.

【 授权许可】

Free