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

文献类型：期刊论文

作者Ha, Seung-Yeal1,2; Jung, Jinwook3; Rockner, Michael4,5
刊名JOURNAL OF DIFFERENTIAL EQUATIONS
出版日期2021-05-25
卷号284页码:39-82
ISSN号0022-0396
关键词Cucker-Smale model Emergence Flocking Random communication Stochastic kinetic Cucker-Smale equation
DOI10.1016/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
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.Seoul Natl Univ, Res Inst Math, Dept Math Sci, Seoul 08826, South Korea
2.Korea Inst Adv Study, Hoegiro 87, Seoul 02455, South Korea
3.Seoul Natl Univ, Res Inst Basic Sci, Seoul 08826, South Korea
4.Univ Bielefeld, Fak Math, D-33615 Bielefeld, Germany
5.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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