Blowup Dynamics for Nonlocal Transport Problems
Andrea Bertozzi (University of California, Los Angeles)
MSRI: Simons Auditorium
In this talk I consider the dynamic problem of finite time blowup in nonlocal equations. I will review work involving blowup in nonlocal aggregation equations and how it relates to classical problems in fluids. The talk will focus on numerical simulations and models. I will also discuss some recent work on contagion models for crowd dynamics. I will discuss both kinetic and macroscopic models for such problems and discuss the connection of this problem to the classical "sticky particle" model in gas dynamics.