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arXiv · 1805.01994

Cucker-Smale model with a bonding force and a singular interaction kernel

Jeongho Kim·Jan Peszek
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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.

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Jeongho Kim, Jan Peszek. 2018-05-05. Cucker-Smale model with a bonding force and a singular interaction kernel. https://arxiv.org/abs/1805.01994

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