Quasi-Stationary States for Particle Systems in the Mean-Field Limit

被引:0
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作者
E. Caglioti
F. Rousset
机构
[1] Universita di Roma I,Dipartimento di Matematica
[2] Universite de Nice,CNRS, Laboratoire J.
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关键词
-particle systems; Vlasov equation; Long-time estimates; Metastability;
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摘要
We prove that the N particles approximation of a class of stable stationary solutions of the Vlasov equation is uniformly valid on a time scale Nβ for β>0 (explicitly given in various cases) much longer than the usual log N scale. The vortex blob method in dimension 2 is also discussed. The result applies to a class of stationary solutions more general than in a previous work.
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页码:241 / 263
页数:22
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