Emergence of bi-cluster flocking for the Cucker-Smale model
文献类型：期刊论文
| 作者 | Cho, Junghee1; Ha, Seung-Yeal2; Huang, Feimin3,4 ; Jin, Chunyin3,4; Ko, Dongnam1
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| 刊名 | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000376383600005 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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