For a better experience, click the Compatibility Mode icon above to turn off Compatibility Mode, which is only for viewing older websites.

Math Colloquium: Agreeing to Disagree in Anisotropic Crowds

Wednesday, January 22, 2020

3:00 PM-4:00 PM

Alexander Vladimirsky, Cornell University

Abstract: How do the choices made by individual pedestrians influence the large-scale crowd dynamics? What are the factors that slow them down and motivate them to seek detours? What happens when multiple crowds pursuing different targets interact with each other? We will consider how answers to these questions shape a class of popular PDE-based models, in which a conservation law models the evolution of pedestrian density while a Hamilton-Jacobi PDE is used to determine the directions of pedestrian flux. This presentation will emphasize the role of anisotropy in pedestrian interactions, the geometric intuition behind our choice of optimal directions, and connections to the non-zero-sum game theory. Joint work with Elliot Cartee.

Contact Information

Georgi Medvedev
gsm29@drexel.edu

Remind me about this event. Notify me if this event changes. Add this event to my personal calendar.

Location

Korman Center, Room 243, 15 S. 33rd Street, Philadelphia, PA 19014

Audience

  • Everyone