Cucker-Smale model with a bonding force and a singular interaction kernel
Dynamical Systems
2018-05-08 v1
Abstract
We prove the lack of asymptotic collisions between particles following the Cucker-Smale flocking model with a bonding force and its simplification. Moreover, we prove that in the case of the CSB model with a singular communication weight, finite-in-time collisions are impossible. Consequently, we establish existence of the global-in-time minimal distance between the particles. Furthermore, we show that asymptotic distribution of particles is confined within a ball of a given radius.
Cite
@article{arxiv.1805.01994,
title = {Cucker-Smale model with a bonding force and a singular interaction kernel},
author = {Jeongho Kim and Jan Peszek},
journal= {arXiv preprint arXiv:1805.01994},
year = {2018}
}