Stochastic homogenization of maximal monotone relations and applications
Università degli Studi Trento
38123 Povo (TN)
Tel +39 04 61/281508-1625-1701-3898-1980.
dept.math [at] unitn.it
Venue: Seminar Room “-1” – Department of Mathematics
- Speaker: Marco Veneroni (University of Pavia)
We study the homogenization of a 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.
Scientific coordinator: Augusto Visintin