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比利时vs摩洛哥足彩 ,
university of california san diego

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math 248 - analysis seminar

roman shvydkoy

uic

global hypocoercivity of fokker-planck-alignment equations

abstract:

in this talk we will discuss a new approach to the problem of emergence in hydrodynamic systems of collective behavior. the problem seeks to establish convergence to a flocking state in a system with self-organization governed by strictly local laws of communication. the typical results in this direction insist on propagation of flock connectivity which translates into a quantitative non-vacuum condition on macroscopic level. with the introduction of small noise one can relax such a condition considerably, and even allow for vacuum, in the context of the corresponding fokker-planck-alignment equations. the flocking behavior becomes the problem of establishing hypocoercivity and relaxation of solutions to the global maxwellian. we will describe a model which does precisely that in the non-perturbative settings.

april 12, 2022

11:00 am

https://ucsd.zoom.us/j/99515535778

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