Speaker
Theresa Simon
(University of Münster)
Description
I will present an example for how to pass from a first order perimeter optimization problem to a second order curvature optimization problem. While the original model, a nonlocal isoperimetric problem, arises from mathematical physics, its limit is Euler’s elastica functional. This is the 2D analogue of the Willmore energy, which features prominently in the modeling of lipid bilayers. Therefore, the methods we developed are also of interest in mathematical biology.
This is joint work with Cyrill Muratov and Matteo Novaga.
Author
Theresa Simon
(University of Münster)