Oberseminar Analysis

 

Dienstag, 28.01.2014, 15.00 Uhr

Minimizers of a nonlocal isoperimetric problem in thin domains

Prof. Dr. Peter Sternberg (Indiana University)

Abstract:
The nonlocal isoperimetric problem arises as a limit of the Ohta-Kawasaki model
for diblock copolymers. As a variational problem, it takes the form of a competition
between a local term favoring low surface area and a nonlocal term favoring high
oscillation. In this talk I will survey some of the previous activity on this problem
(of which there is a lot) and then focus on a recent result by Massimiliano Morini
and me in the setting of thin domains where we can identify the global minimizer
for all values of the coefficient of nonlocality.

Zeit: 15:00 Uhr

Ort: Kármán-Auditorium, Raum Fo 3, Eilfschornsteinstraße 15, 52062 Aachen