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Published in:
2010 | OriginalPaper | Chapter
Particle, kinetic, and hydrodynamic models of swarming
Authors : José A. Carrillo, Massimo Fornasier, Giuseppe Toscani, Francesco Vecil
Published in: Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences
Publisher: Birkhäuser Boston
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We review the state-of-the-art in the modelling of the aggregation and collective behavior of interacting agents of similar size and body type, typically called swarming. Starting with individual-based models based on “particle”-like assumptions, we connect to hydrodynamic/macroscopic descriptions of collective motion via kinetic theory. We emphasize the role of the kinetic viewpoint in the modelling, in the derivation of continuum models and in the understanding of the complex behavior of the system.