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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.

MSC:

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
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