Nov 16 – 19, 2021
Polytech Lille
Europe/Paris timezone

Homogenization of stiff inclusions through network approximation

Nov 16, 2021, 5:00 PM
30m
Amphithéatre Migeon (Polytech Lille)

Amphithéatre Migeon

Polytech Lille

Contributed talk

Speaker

Alexandre Girodroux-Lavigne (IMJ-PRG)

Description

The homogenization of a conductive medium randomly perforated with inclusions of infinite 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 distance, 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 Paris University.

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