TU Dortmund, Raum M611

We will discuss the homogenization of inclusions of infinite conductivity, randomly stationary distributed inside a homogeneous conducting medium. A now classical result by Zhikov shows that, under a logarithmic moment bound on the minimal distance between the inclusions, an effective model with finite homogeneous conductivity exists. Relying on ideas from network approximation, we will provide a relaxed criterion ensuring homogenization. Several examples not covered by the previous theory will be presented. This is joint work with A. Girodroux-Lavigne.

David Gerard-Varet

Paris