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arXiv:1212.3724 [math.AP]AbstractReferencesReviewsResources

Propagation of chaos for the spatially homogeneous Landau equation for Maxwellian molecules

Kleber Carrapatoso

Published 2012-12-15, updated 2014-07-14Version 3

We prove a quantitative propagation of chaos, uniformly in time, for the spatially homogeneous Landau equation in the case of Maxwellian molecules. We improve the results of Fontbona, Gu\'erin and M\'el\'eard \cite{FonGueMe} and Fournier \cite{Fournier} where the propagation of chaos is proved for finite time. Moreover, we prove a quantitative estimate on the rate of convergence to equilibrium uniformly in the number of particles.

Comments: 52 pages. Typos corrected, improvement on the presentation
Categories: math.AP, math.PR
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