A simple proof of the Cucker-Smale flocking dynamics and mean-field limit


Journal Article

We present a simple proof on the formation of flocking to the Cucker-Smale system based on the explicit construction of a Lyapunov functional. Our results also provide a unified condition on the initial states in which the exponential convergence to flocking state will occur. For large particle systems, we give a rigorous justification for the mean-field limit from the many particle Cucker-Smale system to the Vlasov equation with flocking dissipation as the number of particles goes to infinity. © 2009 International Press.

Full Text

Duke Authors

Cited Authors

  • Ha, SY; Liu, JG

Published Date

  • January 1, 2009

Published In

Volume / Issue

  • 7 / 2

Start / End Page

  • 297 - 325

International Standard Serial Number (ISSN)

  • 1539-6746

Digital Object Identifier (DOI)

  • 10.4310/CMS.2009.v7.n2.a2

Citation Source

  • Scopus