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dc.contributor.authorCarrillo, José A.*
hal.structure.identifier
dc.contributor.authorCañizo, José Alfredo*
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorBolley, François*
dc.date.accessioned2011-02-14T13:47:11Z
dc.date.available2011-02-14T13:47:11Z
dc.date.issued2012
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/5707
dc.language.isoenen
dc.subjectMean-field limiten
dc.subjectVicsek modelen
dc.subjectstochasticen
dc.subject.ddc519en
dc.titleMean-field limit for the stochastic Vicsek modelen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherICREA et Departament de Matematiques Universitat Autónoma de Barcelona;Espagne
dc.contributor.editoruniversityotherDepartament de Matemàtiques Universitat Autónoma Barcelona;Espagne
dc.description.abstractenWe consider the continuous version of the Vicsek model with noise, proposed as a model for collective behavior of individuals with a fixed speed. We rigorously derive the kinetic mean-field partial differential equation satisfied when the number $N$ of particles tends to infinity, quantifying the convergence of the law of one particle to the solution of the PDE. For this we adapt a classical coupling argument to the present case in which both the particle system and the PDE are defined on a surface rather than on the whole space $\rr^d$. As part of the study we give existence and uniqueness results for both the particle system and the PDE.en
dc.relation.isversionofjnlnameApplied Mathematics Letters
dc.relation.isversionofjnlvol25
dc.relation.isversionofjnlissue3
dc.relation.isversionofjnldate2012
dc.relation.isversionofjnlpages339-343
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.aml.2011.09.011
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00563915/fr/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevier
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
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