Math @ Duke

Publications [#246945] of JianGuo Liu
Papers Published
 Ha, SY; Liu, JG, A simple proof of the CuckerSmale flocking dynamics and meanfield limit,
Communications in Mathematical Sciences, vol. 7 no. 2
(2009),
pp. 297325, ISSN 15396746 [doi]
(last updated on 2018/12/14)
Abstract: We present a simple proof on the formation of flocking to the CuckerSmale 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 meanfield limit from the many particle CuckerSmale system to the Vlasov equation with flocking dissipation as the number of particles goes to infinity. © 2009 International Press.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

