Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communications
Analysis of PDEs
2019-09-04 v2 Probability
Abstract
We present collective dynamics of the Cucker-Smale (C-S) ensemble under random communications. As an effective modeling of the C-S ensemble, we introduce a stochastic kinetic C-S equation with a multiplicative white noise. For the proposed stochastic kinetic model with a multiplicative noise, we present a global well-posedness of strong solutions and their asymptotic flocking dynamics, when initial datum is sufficiently regular, and communication weight function has a positive lower bound.
Keywords
Cite
@article{arxiv.1903.07771,
title = {Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communications},
author = {Seung-Yeal Ha and Jinwook Jung and Michael Röckner},
journal= {arXiv preprint arXiv:1903.07771},
year = {2019}
}