dc.contributor.author |
Carrillo de la Plata, José Antonio |
dc.contributor.author |
Fornasier, Massimo |
dc.contributor.author |
Rosado Linares, Jesús |
dc.contributor.author |
Toscani, Giuseppe |
dc.contributor.author |
Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica |
dc.date |
2009 |
dc.identifier |
https://ddd.uab.cat/record/54906 |
dc.identifier |
urn:oai:ddd.uab.cat:54906 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation |
Centre de Recerca Matemàtica. Prepublicacions ; |
dc.rights |
open access |
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 |
dc.rights |
https://creativecommons.org/licenses/by-nc-nd/2.5/ |
dc.subject |
Equacions no lineals |
dc.subject |
Anàlisi matemàtica |
dc.subject |
Espais mètrics |
dc.title |
Asymptotic flocking dynamics for the kinetic Cucker-Smale model |
dc.type |
Article |
dc.type |
Prepublicació |
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. |