Asymptotic flocking dynamics for the kinetic Cucker-Smale model
Contribuinte(s) |
Centre de Recerca Matemàtica |
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Data(s) |
01/10/2009
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Resumo |
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. |
Formato |
22 241022 bytes application/pdf |
Identificador | |
Idioma(s) |
eng |
Publicador |
Centre de Recerca Matemàtica |
Relação |
Prepublicacions del Centre de Recerca Matemàtica;886 |
Direitos |
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/) |
Palavras-Chave | #Equacions no lineals #Anàlisi matemàtica #Espais mètrics #517 - Anàlisi |
Tipo |
info:eu-repo/semantics/preprint |