Continuum limit of self-driven particles with orientation interaction - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Comptes rendus de l'Académie des sciences. Série I, Mathématique Année : 2007

Continuum limit of self-driven particles with orientation interaction

Résumé

We consider the discrete Couzin-Vicsek algorithm (CVA), which describes the interactions of individuals among animal societies such as fish schools. In this article, we propose a kinetic (mean-field) version of the CVA model and provide its formal macroscopic limit. The final macroscopic model involves a conservation equation for the density of the individuals and a non conservative equation for the director of the mean velocity and is proved to be hyperbolic. The derivation is based on the introduction of a non-conventional concept of a collisional invariant of a collision operator.
Fichier principal
Vignette du fichier
Spheric_D_SM_070922.pdf (241.21 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00175719 , version 1 (30-09-2007)

Identifiants

Citer

Pierre Degond, Sébastien Motsch. Continuum limit of self-driven particles with orientation interaction. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 347, pp.555-560. ⟨hal-00175719⟩
225 Consultations
155 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More