# Changhui Tan : Self-organized dynamics: aggregation and flocking

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.

**Category**: Nonlinear and Complex Systems**Duration**: 01:24:45**Date**: October 25, 2017 at 11:55 AM**Views**: 181-
**Tags:**seminar, CNCS Seminar (MEMS Fall Seminar Series)

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