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arXiv · 1702.08532

Stochastic homogenization of maximal monotone relations and applications

Luca Lussardi·Stefano Marini·Marco Veneroni
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Abstract

We study the homogenization of a stationary random maximal monotone operator on a probability space equipped with an ergodic dynamical system. The proof relies on Fitzpatrick's variational formulation of monotone relations, on Visintin's scale integration/disintegration theory and on Tartar-Murat's compensated compactness. We provide applications to systems of PDEs with random coefficients arising in electromagnetism and in nonlinear elasticity.

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Luca Lussardi, Stefano Marini, Marco Veneroni. 2017-02-27. Stochastic homogenization of maximal monotone relations and applications. https://arxiv.org/abs/1702.08532

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