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Sharp conditions to avoid collisions in singular Cucker–Smale interactions

Published:2017-10 Issue: Volume:37 Page:317-328
ISSN:1468-1218
Container-title:Nonlinear Analysis: Real World Applications
language:en
Short-container-title:Nonlinear Analysis: Real World Applications

Author:

Carrillo José A.,Choi Young-Pil,Mucha Piotr B.,Peszek Jan

Funder

Royal Society

ERC

EPSRC

Alexander von Humboldt Foundation

Polish NCN

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Economics, Econometrics and Finance,General Engineering,General Medicine,Analysis

Reference34 articles.

1. Social dynamics: Emergence of language;Loreto;Nature Physics,2007

2. Kinetic description of optimal control problems and applications to opinion consensus;Albi;Commun. Math. Sci.,2015

3. Heterophilious dynamics enhances consensus;Motsch;SIAM Rev.,2014

4. Kinetic models for the trading of goods;Toscani;J. Stat. Phys.,2013

5. Emergent behavior in flocks;Cucker;IEEE Trans. Automat. Control,2007

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3. On weak solutions to the kinetic Cucker–Smale model with singular communication weights;Proceedings of the American Mathematical Society;2024-06-06

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