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arXiv · 1412.6458

Discrete Cucker-Smale's flocking model with a weakly singular weight

Jan Peszek
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Abstract

For the discrete Cucker-Smale's flocking model with a singular communication weight $\psi(s) = s^{-\alpha}$, with $0<\alpha<1/2$ , we prove that the velocity component of certain type of weak solutions is absolutly continuous. This result enables us to obtain existence and uniqeness of global solutions.

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Jan Peszek. 2014-12-19. Discrete Cucker-Smale's flocking model with a weakly singular weight. https://arxiv.org/abs/1412.6458

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