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Changhui Tan, NC State, Self-organized dynamics: aggregation and flocking

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October 26 | 3:00 pm - 4:00 pm EDT

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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.

Details


Date
October 26
Time
3:00 pm - 4:00 pm
Event Category:
Location
SAS 4201