Feb 9, 2023
Homogenization of stiff inclusions through network approximation
Mathphys Analysis Seminar
Date: February 9, 2023 |
4:15 pm –
5:15 pm
Speaker:
Alexandre Girodroux-Lavigne , IMJ-PRG
Location: Mondi 2 (I01.01.008), Central Building
Language:
English
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.