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arXiv · 1807.01913

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

Michal Beneš·Igor Pažanin
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Abstract

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 meso-scale 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 meso-scale problem is two-scale convergent to that of the upscaled problem as the spatial parameter goes to zero.

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Michal Beneš, Igor Pažanin. 2018-07-16. Homogenization of degenerate coupled transport processes in porous media with memory terms. https://doi.org/10.1002/mma.5718

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