# Meeting Details

Title: ASYMPTOTIC ISSUES Department of Mathematics Colloquium Professor Michel Chipot, University of Zurich (Host: Chun Liu) We would like to present some results on the asymptotic behaviour of different problems set in cylindrical domains of the type ω1 × ω2 when  → ∞. For i = 1, 2 ωi are two bounded open subsets in R di . To fix the ideas on a simple example consider for instance ω1 = ω2 = (−1, 1) and u the solution to −∆u = f in Ω = (−, ) × (−1, 1) , u = 0 on ∂Ω. It is more or less clear that, when  → ∞, u will converge toward u∞ solution to −∆u∞ = f in Ω∞ = (−∞, ∞) × (−1, 1) , u∞ = 0 on ∂Ω∞. However this problem has infinitely many solutions since for every integer k exp(kπx1)sin(kπx2) is solution of the corresponding homogeneous problem. Our goal is to explain the selection process of the solution for different problems of this type when  → ∞.