Landau damping

Clément Mouhot (1, 2) , Cédric Villani (3)

1 DMA - Département de Mathématiques et Applications - ENS Paris
2 DAMTP - Department of Applied Mathematics and Theoretical Physics
3 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

In this note we present the main results from the recent work hal-00376547/arXiv:0904.2760, which for the first time establish Landau damping in a nonlinear context.

Mots clés: Landau damping; plasma physics; astrophysics; Vlasov-Poisson equation

Domaines: Equations aux dérivées partielles [math.AP]; Physique des plasmas [physics.plasm-ph]; Mécanique statistique [cond-mat.stat-mech]; Astrophysique galactique [astro-ph.GA]; Astrophysique galactique [astro-ph.GA]

Clément Mouhot, Cédric Villani. Landau damping. Journal of Mathematical Physics, 2010, 51, pp.015204. ⟨10.1063/1.3285283⟩. ⟨hal-00383920v2⟩