Title: Separation into droplets in a nonlocal aggregation model
Speaker: Carrie Clark
Abstract: The study of aggregation phenomena in the physical sciences has produced an interesting class of geometric shape optimization problems. In this talk, we will mainly discuss droplet formation in energy minimizing configurations for a family of interaction kernels which have a "well-barrier" type shape. Short distance attraction, combined with mid distance repulsion, and long distance neutrality drives the formation of droplets.