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TITLE Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication
KIAS AUTHORS Ha, Seung-Yeal
JOURNAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2021
ARCHIVE  
ABSTRACT We study the collective dynamics of the Cucker-Smale (C-S) ensemble under random communication. As the effective modeling of the C-S ensemble with infinite size, 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 existence of strong solutions and their asymptotic flocking dynamics, when initial datum is sufficiently regular, and communication weight function has a positive lower bound. (C) 2021 Elsevier Inc. All rights reserved.
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