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

Kleber Carrapatoso (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

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, Guérin and Méléard \cite{FonGueMe} and Fournier \cite{Fournier} where the propagation of chaos is proved for finite time

Mots clés: Chaos; entropic chaos; Landau equation; grazing collisions; Boltzmann equation; maxwellian molecules

Domaines: Equations aux dérivées partielles [math.AP]; Probabilités [math.PR]

Kleber Carrapatoso. Propagation of chaos for the spatially homogeneous Landau equation for maxwellian molecules. 2012. ⟨hal-00765621v1⟩