Mathematical models of a diffusion-convection in porous media

Mathematical models of a diffusion-convection in porous media

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Mathematical models of a diffusion-convection in porous media are derived from the homogenization theory.We start with the mathematical model on the microscopic level, which consist of the Stokes system for a weakly compressible viscous liquid occupying Blu-Ray Movies a pore space, coupled with a diffusion-convection equation for the admixture.We suppose that the viscosity of the liquid depends on a concentration of the admixture and for this nonlinear system we prove the global in time existence of a weak ORG ALOE VERA JUICE INNER FILLET solution.

Next we rigorously fulfil the homogenization procedure as the dimensionless size of pores tends to zero, while the porous body is geometrically periodic.As a result, we derive new mathematical models of a diffusion-convection in absolutely rigid porous media.