Dynamics and Numerics for Non-local PDEs and Related Equations in the Physical and Biological Sciences

Self-organized alignment dynamics: phase transitions and mean-field games

Jian-Guo Liu

Duke University

In this sequence of three lectures I will present some recent progress on the subject of self-organized alignment dynamics for social and biological system. The topics are: 1. Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics 2. A kinetic mean field game theory for the evolution of wealth 3. Kinetic models of active swimming and passive suspensions