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Homogenization of the stochastic double-porosity model
Elise Bonhomme, Mitia Duerinckx, Antoine Gloria · 2025-02-05 · via math.PR updates on arXiv.org

This work is devoted to the homogenization of elliptic equations in high-contrast media in the so-called 'double-porosity' resonant regime, for which we solve two open problems of the literature. First, we prove qualitative stochastic homogenization under very weak conditions, which cover the case of inclusions that are not uniformly bounded or separated. Second, under stronger assumptions, we provide sharp error estimates for the two-scale expansion. The main difficulty is related to the loss of integrability of the control in the resonant zones.

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