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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2008

Long Time Estimates in the Mean Field Limit

Résumé

In this paper, we prove a stability result for measure perturbations of some class of stationary distributions of a Vlasov equation. We use this result to prove that the N particles approximation of these stationary distributions is uniformly valid on a time scale of order N 1/8, which is much longer than the usual log N scale. We also prove similar results for the approximation of the two-dimensional Euler equation by the vortex blob method

Dates et versions

hal-00373591 , version 1 (06-04-2009)

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Emanuele Caglioti, Frédéric Rousset. Long Time Estimates in the Mean Field Limit. Archive for Rational Mechanics and Analysis, 2008, 190 (3), pp.517-547. ⟨10.1007/s00205-008-0157-x⟩. ⟨hal-00373591⟩
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