Landau damping

Clément Mouhot (1) , Cédric Villani (2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 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 --- for all times if the interaction is less singular than Coulomb or Newton, and for exponentially large times in the case of these potentials.

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. 2009. ⟨hal-00383920v1⟩