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Soft Matter and Complex Systems Seminar

sala 1.40, ul. Pasteura 5
2024-03-08 (09:30) Calendar icon
Piotr Bogusław Mucha (Faculty of Mathematics, Informatics, and Mechanics, University of Warsaw)

Bridging the Micro to Macro: Exploring Agent Dynamics from Communication to Hydrodynamical Limits

This talk presents a simplified approach to modeling the dynamic behaviorof agents or particles across various scales. Beginning at the particle(micro) level, we employ kinetic formulations to transition towardshydrodynamical equations. Central to our investigation are Cucker-Smalemodels, initially developed to simulate the collective motion of fish andbirds. By examining the impact of singular communication, we illustratehow these models yield Navier-Stokes type systems, shedding light on theintricate relationship between agent interactions and fluid dynamics.

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