Local well-posedness of the generalized Cucker-Smale model with singular kernels

In this paper, we study the local well-posedness of two types of generalized kinetic Cucker-Smale (in short C-S) equations. We consider two different communication weights in space with nonlinear coupling of the velocities, v | v | β − 2 for β > 3-d/2, where si...

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Bibliographic Details
Main Authors: Carrillo José A., Choi Young-Pil, Hauray Maxime
Format: Article
Language:English
Published: EDP Sciences 2014-12-01
Series:ESAIM: Proceedings and Surveys
Online Access:http://dx.doi.org/10.1051/proc/201447002