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]
Titolo: | Stochastic homogenization of maximal monotone relations and applications | |
Autori: | ||
Data di pubblicazione: | 2018 | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.3934/nhm.2018002 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
http://hdl.handle.net/11583/2703493