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Almut Burchard (Univeristy of Toronto), Analysis Seminar
April 5 @ 4:00 pm - 5:00 pm
Title: On a non-local shape optimization problem related with swarming
Abstract: I will discuss recent work with Rustum Choksi and Ihsan Topaloglu on a shape optimization problem where the energy functional is given by an attractive/repulsive interaction potential in power-law form. A natural conjecture is that balls minimize this energy for large mass, and minimizers fail to exist if the mass falls below a certain critical threshold. We have partial results that support this view.