Macroscopic models of collective motion and self-organization
Navoret, Laurent; Motsch, Sébastien; Liu, Jian-Guo; Frouvelle, Amic; Degond, Pierre (2013), Macroscopic models of collective motion and self-organization, p. 27. https://basepub.dauphine.fr/handle/123456789/11238
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RapportLien vers un document non conservé dans cette base
http://hal.archives-ouvertes.fr/hal-00816752Date
2013Pages
27
Métadonnées
Afficher la notice complèteRésumé (EN)
In this paper, we review recent developments on the derivation and properties of macroscopic models of collective motion and self-organization. The starting point is a model of self-propelled particles interacting with its neighbors through alignment. We successively derive a mean-field model and its hydrodynamic limit. The resulting macroscopic model is the Self-Organized Hydrodynamics (SOH). We review the available existence results and known properties of the SOH model and discuss it in view of its possible extensions to other kinds of collective motion.Mots-clés
self - organized hydrodynamics; von Mises-Fisher distribution; macroscopic limit; Fokker - Planck equation; mean-field kinetic model; Vicsek model; self-alignment; self-propelled particles; Individual-Based ModelsPublications associées
Affichage des éléments liés par titre et auteur.
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Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo; Motsch, Sébastien; Navoret, Laurent (2013) Article accepté pour publication ou publié
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Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo (2015) Article accepté pour publication ou publié
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Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo (2022) Article accepté pour publication ou publié
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Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo; Abbad, Narima (2021) Article accepté pour publication ou publié
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Liu, Jian-Guo; Frouvelle, Amic; Degond, Pierre (2012) Communication / Conférence