Hydrodynamic Cucker-Smale model with normalized communication weights and time delay

Young-Pil Choi; Jan Haskovec

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arXiv · 1707.05190

Hydrodynamic Cucker-Smale model with normalized communication weights and time delay

Young-Pil Choi·Jan Haskovec

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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.

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Young-Pil Choi, Jan Haskovec. 2017-07-17. Hydrodynamic Cucker-Smale model with normalized communication weights and time delay. https://arxiv.org/abs/1707.05190

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