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

Ha S-Y, Jung J, Röckner M (2021)
Journal of Differential Equations 284: 39-82.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Ha, Seung-Yeal; Jung, Jinwook; Röckner, MichaelUniBi
Abstract / Bemerkung
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.
Stichworte
Cucker-Smale model; Emergence; Flocking; Random communication; Stochastic kinetic Cucker-Smale equation
Erscheinungsjahr
2021
Zeitschriftentitel
Journal of Differential Equations
Band
284
Seite(n)
39-82
ISSN
0022-0396
eISSN
1090-2732
Page URI
https://pub.uni-bielefeld.de/record/2954223

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Ha S-Y, Jung J, Röckner M. Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication. Journal of Differential Equations. 2021;284:39-82.
Ha, S. - Y., Jung, J., & Röckner, M. (2021). Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication. Journal of Differential Equations, 284, 39-82. https://doi.org/10.1016/j.jde.2021.02.046
Ha, S. - Y., Jung, J., and Röckner, M. (2021). Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication. Journal of Differential Equations 284, 39-82.
Ha, S.-Y., Jung, J., & Röckner, M., 2021. Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication. Journal of Differential Equations, 284, p 39-82.
S.-Y. Ha, J. Jung, and M. Röckner, “Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication”, Journal of Differential Equations, vol. 284, 2021, pp. 39-82.
Ha, S.-Y., Jung, J., Röckner, M.: Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication. Journal of Differential Equations. 284, 39-82 (2021).
Ha, Seung-Yeal, Jung, Jinwook, and Röckner, Michael. “Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication”. Journal of Differential Equations 284 (2021): 39-82.

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