Two compressible immiscible fluids in porous media: The case where the porosity depends on the pressure. (English) Zbl 1173.35400

Summary: Consider a model of flow of two compressible or incompressible and immiscible phases in a three-dimensional porous media. The existence of a weak solution is obtained for two compressible immiscible fluids when the porosity depends on the global pressure and on the space variable.


35D05 Existence of generalized solutions of PDE (MSC2000)
35K57 Reaction-diffusion equations
35K55 Nonlinear parabolic equations
92D30 Epidemiology
76S05 Flows in porous media; filtration; seepage