CMX Lunch Seminar

Wednesday October 16, 2019 12:00 PM

A `Liquid-Solid' Phase Transition in a Simple Model for Swarming

Speaker: Rupert Frank, Mathematics, Caltech
Location: Annenberg 213

We consider a non-local shape optimization problem, which is motivated by a simple model for swarming and other self-assembly/aggregation models, and prove the existence of different phases. In particular, we show that in the large mass regime the ground state density profile is the characteristic function of a round ball. An essential ingredient in our proof is a strict rearrangement inequality with a quantitative error estimate.

The talk is based on joint work with E. Lieb.

Series CMX Lunch Series

Contact: Jolene Brink at (626)395-2813 jbrink@caltech.edu
For more information visit: http://cmx.caltech.edu/