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Blowup Dynamics for Nonlocal Transport Problems

Fluid Mechanics, Hamiltonian Dynamics, and Numerical Aspects of Optimal Transportation October 14, 2013 - October 18, 2013

October 17, 2013 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Andrea Bertozzi (University of California, Los Angeles)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC


Abstract 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.
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