Particle, kinetic, and hydrodynamic models of swarming

José A. Carrillo, Massimo Fornasier, Giuseppe Toscani, Francesco Vecil

Research output: Chapter in BookChapterResearchpeer-review

201 Citations (Scopus)


© Springer Science+Business Media, LLC 2010. 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.
Original languageEnglish
Title of host publicationModeling and Simulation in Science, Engineering and Technology
Number of pages39
ISBN (Electronic)2164-3725
Publication statusPublished - 1 Jan 2010


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