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On non-collision flocking and line-shaped spatial configuration for a modified singular Cucker–Smale model

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成果类型:
期刊论文
作者:
Liu, Hongliang*;Wang, Xiao;Liu, Yicheng;Li, Xiang
通讯作者:
Liu, Hongliang
作者机构:
[Liu, Yicheng; Liu, Hongliang; Li, Xiang; Wang, Xiao] Natl Univ Def Technol, Dept Math, Changsha 410073, Hunan, Peoples R China.
[Liu, Hongliang] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构:
[Liu, Hongliang] N
Natl Univ Def Technol, Dept Math, Changsha 410073, Hunan, Peoples R China.
语种:
英文
关键词:
Cucker-Smale system;Singular communication weight;Collision avoiding flocking;Line-shape spatial configuration
期刊:
Communications in Nonlinear Science and Numerical Simulation
ISSN:
1007-5704
年:
2019
卷:
75
期:
Aug.
页码:
280-301
基金类别:
Research is supported by National Natural Science Foundation of China (Nos. 11401577 and 11671011), China Postdoctoral Science Foundation (No. 2018M633700). The authors would like to thank the referees so much for the valuable suggestions and comments.
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
This paper is concerned with a singular Cucker–Smale model with a general targeted pattern driving force, which ensures that the particles finally come to the desired spatial configuration. Under some suitable conditions, we prove that the exponent α ≥ 1 in the communication weight leads to global regularity of solutions so that the system has an asymptotic flocking without collision between any agent. As an example, a prescribed driving force is given to demonstrate that the particles finally come to a line-shaped formation with collision a...

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