Mathematical Physics Seminar
Elliott Lieb, Princeton University: A `liquid-solid'phase transition in a simple model for swarming
Date & time: Thursday, 08 September 2016 at 12:00PM - 1:00PM
Elliott Lieb - Princeton University
Thursday, September 8th, 12:00pm; Hill 705
"A `liquid-solid'phase transition in a simple model for swarming"
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. A technical key ingredient, which we establish, is that a strictly subharmonic function cannot be constant on a set of positive measure. (With Rupert Frank)