Stable stationary solutions of the Vlasov equation as metastable states of particle systems in the mean-field limit

Abstract

A system of N particles interacting via a smooth two-body potential, in the mean field limit, is described by the Vlasov equation. The convergence of the particle system to the Vlasov equation is proved for times as long as logN. What we can say for longer times? We are interested here in the case in which intially the particles are indipendentely extracted… (More)

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