KMS Of Academy of mathematics and systems sciences, CAS
| Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication | |
| Ha, Seung-Yeal1,2; Jung, Jinwook3; Rockner, Michael4,5 | |
| 2021-05-25 | |
| Source Publication | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| ISSN | 0022-0396 |
| Volume | 284Pages:39-82 |
| 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. |
| Keyword | Cucker-Smale model Emergence Flocking Random communication Stochastic kinetic Cucker-Smale equation |
| DOI | 10.1016/j.jde.2021.02.046 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Research Foundation of Korea[NRF-2016K2A9A2A13003815] ; National Research Foundation of Korea[2019R1A6A1A10073437] ; German Research Foundation (DFG)[IRTG2235] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000634823300003 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58400 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Jung, Jinwook |
| Affiliation | 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 |
| Recommended Citation 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. |
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