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Macroscopic models of collective motion and self-organization

dc.contributor.authorNavoret, Laurent
dc.contributor.authorMotsch, Sébastien
dc.contributor.authorLiu, Jian-Guo
dc.contributor.authorFrouvelle, Amic
HAL ID: 874
ORCID: 0000-0001-6828-8176
dc.contributor.authorDegond, Pierre
HAL ID: 748885
dc.date.accessioned2013-04-23T12:19:18Z
dc.date.available2013-04-23T12:19:18Z
dc.date.issued2013
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11238
dc.language.isoenen
dc.subjectself - organized hydrodynamicsen
dc.subjectvon Mises-Fisher distributionen
dc.subjectmacroscopic limiten
dc.subjectFokker - Planck equationen
dc.subjectmean-field kinetic modelen
dc.subjectVicsek modelen
dc.subjectself-alignmenten
dc.subjectself-propelled particlesen
dc.subjectIndividual-Based Modelsen
dc.subject.ddc520en
dc.titleMacroscopic models of collective motion and self-organizationen
dc.typeRapport
dc.contributor.editoruniversityotherInstitut de Recherche Mathématique Avancée (IRMA) http://www-irma.u-strasbg.fr/ CNRS : UMR7501 – Université de Strasbourg;France
dc.contributor.editoruniversityotherCenter for Scientific Computation and Mathematical Modeling (CSCAMM) University of Maryland at College Park University of Maryland, College Park, MD 20742;États-Unis
dc.contributor.editoruniversityotherDuke Physics http://www.phy.duke.edu/ Duke University Dept. of Physics, Physics Bldg., Science Dr., Box 90305, Duke University, Durham, NC 27708;États-Unis
dc.contributor.editoruniversityotherInstitut de Mathématiques de Toulouse (IMT) Université Paul Sabatier - Toulouse III – Université Toulouse le Mirail - Toulouse II – Université des Sciences Sociales - Toulouse I – Institut National des Sciences Appliquées (INSA) - Toulouse – CNRS : UMR5219;France
dc.description.abstractenIn 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.en
dc.identifier.citationpages27en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00816752en
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.description.submittednonen


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