Particle, kinetic, and hydrodynamic models of swarming
José A. CarrilloICREA - Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, SpainMassimo FornasierJohann Radon Institute for Computational and Applied Mathematics (RICAM), Altenbergerstrasse 69, A-4040, Linz, AustriaGiuseppe ToscaniDepartment of Mathematics, University of Pavia, via Ferrata 1, 27100, Pavia, ItalyFrancesco VecilJohann Radon Institute for Computational and Applied Mathematics (RICAM), Altenbergerstrasse 69, A-4040, Linz, Austria
2010en
ABI
Аннотация
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.
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