dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Carrillo, José A. |
dc.contributor.author |
Fornasier, Massimo |
dc.contributor.author |
Rosado, Jesús |
dc.contributor.author |
Toscani, Giuseppe |
dc.date.accessioned |
2010-03-12T08:52:31Z |
dc.date.available |
2010-03-12T08:52:31Z |
dc.date.created |
2009-10 |
dc.date.issued |
2009-10 |
dc.identifier.uri |
http://hdl.handle.net/2072/46770 |
dc.format.extent |
22 |
dc.format.extent |
241022 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;886 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
Equacions no lineals |
dc.subject.other |
Anàlisi matemàtica |
dc.subject.other |
Espais mètrics |
dc.title |
Asymptotic flocking dynamics for the kinetic Cucker-Smale model |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
dc.description.abstract |
In this paper, we analyse the asymptotic behavior of solutions of the continuous kinetic version of flocking by Cucker and Smale [16], which describes the collective behavior of an ensemble of organisms, animals or devices. This kinetic version introduced in [24] is here obtained starting from a Boltzmann-type equation. The large-time behavior of the distribution in
phase space is subsequently studied by means of particle approximations and a stability property in distances between measures. A continuous analogue of the theorems of [16] is shown to hold for the solutions on the kinetic model.
More precisely, the solutions will concentrate exponentially fast their velocity
to their mean while in space they will converge towards a translational flocking
solution. |