| MATHEMATICAL PHYSICS SEMINAR | |
| Topic: | Controlled Concentration and Long time Behavior of the Critical Mass Keller-Segel Equation. |
| Speaker: | Eric Carlen |
| Affiliation: | Rutgers, The State University |
| Date: | Wednesday, March 4 |
| Time/Room: | 11:15am - 12:15pm/S-101 |
The Keller-Segal equation exhibits a competition between diffusion and effects leading to concentration, and depending on whether the total mass is above or below a critical value, one or the other wins. We examine the long time behavior for critical mass making crucial use of a displacement convex Lyapunov functional whose existence is a pleasant surprise -- the equation itself describes gradient flow in the Wasserstein metric, but of a non displacement convex functional. This is joint work with Jose Carrillo and Adrien Blanchet.