Hydrodynamic Cucker-Smale model with normalized communication weights and time delay
Analysis of PDEs
2017-07-18 v1
Abstract
We study a hydrodynamic Cucker-Smale-type model with time delay in communication and information processing, in which agents interact with each other through normalized communication weights. The model consists of a pressureless Euler system with time delayed non-local alignment forces. We resort to its Lagrangian formulation and prove the existence of its global in time classical solutions. Moreover, we derive a sufficient condition for the asymptotic flocking behavior of the solutions. Finally, we show the presence of a critical phenomenon for the Eulerian system posed in the spatially one-dimensional setting.
Cite
@article{arxiv.1707.05190,
title = {Hydrodynamic Cucker-Smale model with normalized communication weights and time delay},
author = {Young-Pil Choi and Jan Haskovec},
journal= {arXiv preprint arXiv:1707.05190},
year = {2017}
}