Show simple item record

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorBolley, François*
hal.structure.identifier
dc.contributor.authorCañizo, José Alfredo*
hal.structure.identifier
dc.contributor.authorCarrillo, José A.*
dc.date.accessioned2010-09-28T11:52:43Z
dc.date.available2010-09-28T11:52:43Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/4849
dc.language.isoenen
dc.subjectcollective behaviorsen
dc.subjectMean-field limiten
dc.subjectdiffusionen
dc.subjectCucker-Smaleen
dc.subject.ddc519en
dc.titleStochastic Mean-Field Limit: Non-Lipschitz Forces & Swarmingen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversitat Autónoma Barcelona;Espagne
dc.description.abstractenWe consider general stochastic systems of interacting particles with noise which are relevant as models for the collective behavior of animals, and rigorously prove that in the mean-field limit the system is close to the solution of a kinetic PDE. Our aim is to include models widely studied in the literature such as the Cucker-Smale model, adding noise to the behavior of individuals. The difficulty, as compared to the classical case of globally Lipschitz potentials, is that in several models the interaction potential between particles is only locally Lipschitz, the local Lipschitz constant growing to infinity with the size of the region considered. With this in mind, we present an extension of the classical theory for globally Lipschitz interactions, which works for only locally Lipschitz ones.en
dc.relation.isversionofjnlnameMathematical Models and Methods in Applied Sciences
dc.relation.isversionofjnlvol21
dc.relation.isversionofjnlissue11
dc.relation.isversionofjnldate2011
dc.relation.isversionofjnlpages2179-2210
dc.relation.isversionofdoihttp://dx.doi.org/10.1142/S0218202511005702
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00521216/fr/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherWorld Scientific
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
hal.author.functionaut
hal.author.functionaut
hal.author.functionaut


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record