Article ID Journal Published Year Pages File Type
4613185 Journal of Differential Equations 2008 43 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis