Homogenization of degenerate coupled transport processes in porous media with memory terms
Michal Beneš, Igor Pažanin · Mathematical Methods in the Applied Sciences · 2019
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.