Mathematical Sciences Research Institute

Home » Workshop » Schedules » Dynamics of kinematic aggregation equations

Dynamics of kinematic aggregation equations

Connections for Women on Optimal Transport: Geometry and Dynamics August 22, 2013 - August 23, 2013

August 22, 2013 (03:30 PM PDT - 04:30 PM 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
No Video Uploaded
Abstract 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
17693?type=thumb v1126 2.74 MB application/pdf Download
Video/Audio Files
No Video Files Uploaded