Séminaire ACSIOM :

Le 31 janvier 2023 à 13.15 - salle 109 (1er étage)

Présentée par Girodroux-Lavigne Alexandre - Université de Paris Cité

Homogenization of stiff inclusions through network approximation

The homogenization of a conductive medium randomly perforated with inclusions of infi- nite conductivity is a well-known problem thanks to the work of Vassili Zhikov. However, the existence of an effective model is shown under assumptions on the interparticle dis- tance, which prevents the study of clusters and dense setting. In this talk of stochastic homogenization, we will provide a relaxed criterion ensuring homogenization relying on ideas from network approximation. This is joint work with David Gérard-Varet from Université Paris-Cité.