arXiv:2008.09530 Abstract | arXiv Analytics

arXiv:2008.09530 [math.AP]Abstract References Reviews Resources

The Cucker-Smale model with time delay

Published 2020-08-21Version 1

We study the classical Cucker-Smale model in continuous time with a positive time delay $\tau$. As in the non-delayed case, unconditional flocking occurs when $\beta \leq 1/2$ for every $\tau>0$. Furthermore, we prove the exponential decay for the diameter of the velocities.

Comments: 19 pages, 2 figures

Categories: math.AP, math.CA, math.DS

Keywords: exponential decay, unconditional flocking occurs, classical cucker-smale model, positive time delay, non-delayed case

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