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arXiv · 1903.07771

Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communications

Seung-Yeal Ha·Jinwook Jung·Michael Röckner
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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.

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Seung-Yeal Ha, Jinwook Jung, Michael Röckner. 2019-03-18. Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communications. https://arxiv.org/abs/1903.07771

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