Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 42, Issue 18, Pages 6227-6258Publisher
WILEY
DOI: 10.1002/mma.5718
Keywords
coupled transport processes in porous media; homogenization; nonlinear degenerate parabolic system; Robin boundary conditions; two-scale convergence
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Funding
- European Regional Development Fund [CZ.02.1.01/0.0/0.0/16_019/0000778]
- Grantova Agentura Ceske Republiky [GACR 16-20008S]
- Hrvatska Zaklada za Znanost
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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.
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