Applied Math And Analysis Seminar
Wednesday, October 25, 2017, 12:00pm, 119 Physics
Changhui Tan (Rice University)
Self-organized dynamics: aggregation and flocking
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. [video]
Generated at 2:03pm Wednesday, April 24, 2024 by Mcal. Top
* Reload
* Login