Self-organized dynamics: aggregation and flocking

Hyperbolic and Mixed Type PDEs Seminar

Meeting Details

For more information about this meeting, contact Yuxi Zheng, Joseph Roberts, Kendra Stauffer.

Speaker: Chaghui Tan, Rice University

Abstract: Self-organized behaviors are commonly observed in nature and human societies, such as bird flocks, fish swarms and human crowds. In this talk, I will present some celebrated mathematical models, with simple small-scale interactions which lead to the emergence of global behaviors: aggregation and flocking. I will discuss the models in different scales: from microscopic agent-based dynamics, through kinetic mean-field descriptions, to macroscopic fluid systems. In particular, the macroscopic models can be viewed as compressible Euler equations with nonlocal interactions. I will show some recent results on the global wellposedness theory of the systems, large time behaviors, and interesting connections to some classical equations in fluid mechanics.

Room Reservation Information

Room Number: 216 McAllister

Date: 11/30/2017

Time: 10:00am - 11:00am