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Article Dans Une Revue Communications in Mathematical Sciences Année : 2007

Long time behavior of particle systems in the mean field limit

Résumé

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 Lionville 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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Dates et versions

hal-00458177 , version 1 (19-02-2010)

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  • HAL Id : hal-00458177 , version 1

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Emanuele Caglioti, Frédéric Rousset. Long time behavior of particle systems in the mean field limit. Communications in Mathematical Sciences, 2007, 5 (supplément 1), pp.11-19. ⟨hal-00458177⟩
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