Quantitative results in stochastic homogenization ( Jean-Christophe Mourrat, ENS Lyon)

03.10.2016 15:15 – 17:15

We will study solutions of certain elliptic PDE's with random coefficients. The qualitative theory of homogenization ensures that these solutions become close, in a large scale limit, to solutions of PDE's with constant, "homogenized" coefficients. This is the PDE version of a central limit theorem for reversible random walks in random environments. I will describe a new method allowing to make this convergence quantitative, assuming that the random coefficients are sufficiently mixing. The approach is based on progressively coarsening the equation by "linearizing around the homogenized limit". Joint work with S. Armstrong and T. Kuusi.

Lieu

Room 17, Séminaire "Mathématique Physique"

entrée libre