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

Carrapatoso, Kleber (2016), Propagation of chaos for the spatially homogeneous Landau equation for maxwellian molecules, Kinetic & Related Models, 49, 1, p. 1-49. 10.3934/krm.2016.9.1

Type
Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-00765621
Date
2016
Journal name
Kinetic & Related Models
Volume
49
Number
1
Publisher
AIMS - American Institute of Mathematical Sciences
Published in
Paris
Pages
1-49
Publication identifier
Metadata
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Author(s)
Carrapatoso, Kleber
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
We prove a quantitative propagation of chaos and entropic 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 [9] and Fournier [10] 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.
Subjects / Keywords
Chaos; entropic chaos; grazing collisions; Landau equation; maxwellian molecules; Boltzmann equation