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

doi:10.1016/j.jde.2021.02.046

	Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication
	Ha, Seung-Yeal 2,3; Jung, Jinwook 4; Rockner, Michael 1,5
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2021-05-25
卷号	284 页码:39-82
关键词	Cucker-Smale model Emergence Flocking Random communication Stochastic kinetic Cucker-Smale equation
ISSN号	0022-0396
DOI	10.1016/j.jde.2021.02.046
英文摘要	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.
资助项目	National Research Foundation of Korea[NRF-2016K2A9A2A13003815] ; National Research Foundation of Korea[2019R1A6A1A10073437] ; German Research Foundation (DFG)[IRTG2235]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000634823300003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58399]
专题	中国科学院数学与系统科学研究院
通讯作者	Jung, Jinwook
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Seoul Natl Univ, Res Inst Math, Dept Math Sci, Seoul 08826, South Korea 3.Korea Inst Adv Study, Hoegiro 87, Seoul 02455, South Korea 4.Seoul Natl Univ, Res Inst Basic Sci, Seoul 08826, South Korea 5.Univ Bielefeld, Fak Math, D-33615 Bielefeld, Germany
推荐引用方式 GB/T 7714	Ha, Seung-Yeal,Jung, Jinwook,Rockner, Michael. Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2021,284:39-82.
APA	Ha, Seung-Yeal,Jung, Jinwook,&Rockner, Michael.(2021).Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication.JOURNAL OF DIFFERENTIAL EQUATIONS,284,39-82.
MLA	Ha, Seung-Yeal,et al."Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication".JOURNAL OF DIFFERENTIAL EQUATIONS 284(2021):39-82.