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February 2007 Long Time Behavior of Particle Systems in the Mean Field Limit
Emanuele Caglioti, Frédéric Rousset
Commun. Math. Sci. 5(S1): 11-19 (February 2007).


We present a review of some recent results concerning the long time behavior of particle systems in the mean field limit. In particular we will consider the Vlasov limit for a system of particles interacting via a two body potential, the case of the vortex model, and the case of the piston. In all these cases the particle system is described, in the mean field limit, by a suitable nonlinear Liouville equation. The main problem we are interested in is the comparison between the limit dynamics and the behavior of the particle system when $N$ is large.


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Emanuele Caglioti. Frédéric Rousset. "Long Time Behavior of Particle Systems in the Mean Field Limit." Commun. Math. Sci. 5 (S1) 11 - 19, February 2007.


Published: February 2007
First available in Project Euclid: 5 April 2007

zbMATH: 1138.82342
MathSciNet: MR2301286

Primary: 82C05 , 82C22

Keywords: particles systems , stability , Vlasov type equations

Rights: Copyright © 2007 International Press of Boston

Vol.5 • No. S1 • February 2007
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