August 22, 2013 (03:30 PM PDT - 04:30 PM PDT)Speaker(s):Andrea Bertozzi (University of California, Los Angeles) Location:
MSRI: Simons Auditorium
No Video UploadedAbstract
Aggregation equations are used to model nonlocal interactions in biology and related problems in which a population density moves with a velocity that depends nonlocally on the density through an aggregation interaction kernel.
The mathematical behavior of these equations has direct connection to problems in optimal transport and incompressible fluid dynamics. I will review recent results for these problems and the role of geometry in the dynamics of both smooth and singular solutions