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.

Stochastic homogenization of maximal monotone relations and applications / Lussardi, Luca; Marini, Stefano; Veneroni, Marco. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - STAMPA. - 13:1(2018), pp. 27-45. [10.3934/nhm.2018002]

Stochastic homogenization of maximal monotone relations and applications

Lussardi, Luca;
2018

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2703493
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