engleski

Homogenization of degenerate coupled transport processes in porous media with memory terms

In this paper we establish a homogenization result for a doubly nonlinear parabolic system arising from the hygro-thermo-chemical processes in porous media taking into account memory phenomena. We present a mesoscale model of the composite (heterogeneous) material where each component is considered as a porous system and the voids of the skeleton are partially saturated with liquid water. It is shown that the solution of the mesoscale problem is two- scale convergent to that of the upscaled problem as the spatial parameter goes to zero.

Nonlinear degenerate parabolic system ; Homogenization ; Two-scale convergence ; Coupled transport processes in porous media ; Robin boundary conditions

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