Homogenization of stiff inclusions through network approximation
Mathphys Analysis Seminar
Date
Thursday, February 9, 2023 16:15 - 17:15
Speaker
Alexandre Girodroux-Lavigne (IMJ-PRG)
Location
Mondi 2 (I01.01.008), Central Building
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Julian Fischer
Contact
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.