Yao Yao (UW Madison)

Confinement for nonlocal interaction equation with 
repulsive-attractive kernels

In this talk, we consider sets of particles interacting pairwise via a 
potential W, which is repulsive at short distances, but attractive at 
long distances. The main question we consider is whether an initially 
compactly supported configuration remains compactly supported for all 
times, regardless of the number of particles. We improved the sufficient 
conditions on the potential W for the above confinement property to hold.
This is  joint work with Jose Carrillo and Daniel Balague.