PDE Models for Collective Behavior

Undergraduate Seminar
Monday, November 16, 2020 - 3:30pm for 1 hour (actually 50 minutes)
Bluejeans meeting: https://gatech.bluejeans.com/759112674
Dr. Yao Yao – Georgia Institute of Technology
Enid Steinbart

Self-organization is a common feature in the collective behavior of many animal species, such as flocking birds, herding mammals, and swarming bacteria. As the number of individuals gets large, instead of tracking the movement of each individual, it is more efficient to model the evolution of the whole population density using partial differential equations (PDEs). In this talk, I will introduce some PDE models for collective dynamics, and discuss the challenges in both the modeling part and the mathematical analysis.