独特性
动能
职位(财务)
统计物理学
经典力学
数学
物理
数学分析
经济
财务
作者
Xinyu Wang,Xiaoping Xue
出处
期刊:Proceedings
[Cambridge University Press]
日期:2022-07-21
卷期号:153 (4): 1315-1346
被引量:2
摘要
In this paper, we focus on the formation behaviour of the kinetic Cucker–Smale model for initial datum without compact support for the position variable. Comparing with the case of compact support, the attractive force between particles is weak. First, we obtain the existence and uniqueness of the classical solution to the kinetic Cucker–Smale model by standard approximation method. Second, by using the characteristic flow, we overcome the difficulty brought by the weak attractive force between particles through some estimates and establish the formation behaviour, i.e., consensus of velocity, of the classical solution to the kinetic Cucker–Smale model. Finally, for the measure-valued solution to the kinetic Cucker–Smale model, the formation behaviour is also established.
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