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

Abstract

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. Moreover, we prove a quantitative estimate on the rate of convergence to equilibrium uniformly in the number of particles.

52 pages. Typos corrected, improvement on the presentation

References in corpus (4)

• On Kac's Chaos And Related Problems
• From particle systems to the Landau equation: a consistency result
• A Counter Example to Cercignani's Conjecture for the $d$ Dimensional Kac Model
• On the Kac model for the Landau equation

Cited by in corpus (1)

• The Landau Equation for Maxwellian molecules and the Brownian Motion on SO_R(N)