From particle to kinetic and hydrodynamic descriptions of flocking

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dc.creatorHa, Seung-Yeal
dc.creatorTadmor, Eitan
dc.date2008-06-13
dc.date.accessioned2026-07-07T09:44:28Z
dc.date.available2026-07-07T09:44:28Z
dc.descriptionWe discuss the Cucker-Smale's (C-S) particle model for flocking, deriving precise conditions for flocking to occur when pairwise interactions are sufficiently strong long range. We then derive a Vlasov-type kinetic model for the C-S particle model and prove it exhibits time-asymptotic flocking behavior for arbitrary compactly supported initial data. Finally, we introduce a hydrodynamic description of flocking based on the C-S Vlasov-type kinetic model and prove flocking behavior \emph{without} closure of higher moments.
dc.identifierhttps://arxiv.org/abs/0806.2182
dc.identifierhttp://arxiv.org/abs/0806.2182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162885
dc.subjectAnalysis of PDEs
dc.subject92D25;74A25;76N10
dc.titleFrom particle to kinetic and hydrodynamic descriptions of flocking
dc.typetext

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