Emergence of bi-cluster flocking for the Cucker-Smale model

doi:10.1142/S0218202516500287

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	Emergence of bi-cluster flocking for the Cucker-Smale model
	Cho, Junghee 1; Ha, Seung-Yeal 2; Huang, Feimin3,4 ; Jin, Chunyin 3,4; Ko, Dongnam 1
刊名	MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
	2016-06-15
卷号	26 期号:6 页码:1191-1218
关键词	Cucker-Smale model local flocking slow relaxation bi-cluster flocking
ISSN号	0218-2025
DOI	10.1142/S0218202516500287
英文摘要	We present the mathematical analysis of bi-cluster flocking phenomenon for the short-ranged Cucker-Smale model with some well-prepared initial data. For this, we derive a system of differential inequalities for the functionals measuring the local spatial and velocity fluctuations and differences of local velocity averages, and then estimate the upper bound of spatial fluctuations and the lower bound of the difference between local velocity averages. We explicitly present an admissible class of initial configurations leading to the asymptotic emergence of bi-cluster flocking phenomenon. Unlike global flocking (a mono-cluster flocking configuration in velocity), where the convergence rate is always exponential, the asymptotic convergence to bi-cluster flocking configurations is affected by the far-field decay rate of communication weights so that it can be algebraic.
资助项目	Collaborative Research Project under the NRF-NSFC Cooperative Program
WOS研究方向	Mathematics
语种	英语
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000376383600005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/22782]
专题	应用数学研究所
通讯作者	Ha, Seung-Yeal
作者单位	1.Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea 2.Seoul Natl Univ, Inst Math, Dept Math Sci & Res, Seoul 151747, South Korea 3.Acad Sinica, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 4.Beijing Ctr Math & Informat Sci, Beijing 100048, Peoples R China
推荐引用方式 GB/T 7714	Cho, Junghee,Ha, Seung-Yeal,Huang, Feimin,et al. Emergence of bi-cluster flocking for the Cucker-Smale model[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2016,26(6):1191-1218.
APA	Cho, Junghee,Ha, Seung-Yeal,Huang, Feimin,Jin, Chunyin,&Ko, Dongnam.(2016).Emergence of bi-cluster flocking for the Cucker-Smale model.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,26(6),1191-1218.
MLA	Cho, Junghee,et al."Emergence of bi-cluster flocking for the Cucker-Smale model".MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 26.6(2016):1191-1218.