For more information about this meeting, contact Stephanie Zerby, Chun Liu.
|Seminar:||Department of Mathematics Colloquium|
|Speaker:||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
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
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
|Date:||09 / 04 / 2014|
|Time:||02:30pm - 03:20pm|