AM Seminar: Nonlocal Conservation Laws: Theory and Applications

Speaker Name: 
Alexander Keimer
Speaker Title: 
Postdoctoral researcher
Speaker Organization: 
University of California, Berkeley
Start Time: 
Monday, March 11, 2019 - 4:00pm
End Time: 
Monday, March 11, 2019 - 5:00pm
Location: 
BE 372
Organizer: 
Abhishek Halder

Abstract

We will introduce a rather new type of modeling with nonlocal conservation laws. The difference to "local" conservation laws stems from the fact that the velocity of the conservation law is not locally dependent on the solution but on a neighborhood at a given space-time point, realized with an integration. We will present existence and uniqueness results, consider unbounded and bounded domains with prescribed boundary datum and talk about different applications, in particular in macroscopic traffic flow modeling. We will also show some recent results of the convergence of solutions of nonlocal conservation laws when the nonlocal area of integration tends to zero to their correspondent local entropic solution counterparts.

Bio

Dr. Alexander Keimer received his Ph.D in 2014 from the University of Erlangen-Nürnberg, in Bavaria, Germany, under the supervision of Günter Leugering. Since then, he has worked as a postdoctoral researcher at the Institute of Transportation Studies at UC Berkeley with Alexandre Bayen.