PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephanie Zerby, Chun Liu.

Title:ASYMPTOTIC ISSUES
Seminar:Department of Mathematics Colloquium
Speaker:Professor Michel Chipot, University of Zurich (Host: Chun Liu)
Abstract:
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 ` → ∞.

Room Reservation Information

Room Number:MB114
Date:09 / 04 / 2014
Time:02:30pm - 03:20pm