Orateur
Description
We consider Laplace's equation in a periodically perforated domain, with Robin boundary conditions on the holes and a Robin coefficient inversely proportional to the total surface area of the holes. We show that, in a critical regime, the homogenised equation contains an additional zero-order term, which is defined in terms of a suitable eigenvalue problem and depends nonlinearly on the Robin coefficient. As the latter tends to infinity, the additional term converges to the capacitary "strange term" found by Cioranescu and Murat in the homogenisation of a problem with Dirichlet boundary conditions. This talk is based on joint work with K. Cherednichenko (University of Bath) and A. Zarnescu (BCAM, Bilbao, and "Simion Stoilow" Institute of the Romanian Academy).
