Landau damping for analytic and Gevrey data

Emmanuel Grenier, Toan T. Nguyen, Igor Rodnianski

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


In this paper, we give an elementary proof of the nonlinear Landau damping for the Vlasov-Poisson system near Penrose stable equilibria on the torus Td × Rd that was first obtained by Mouhot and Villani in [9] for analytic data and subsequently extended by Bedrossian, Masmoudi, and Mouhot [2] for Gevrey-γ data, γ ∈ (13 , 1]. Our proof relies on simple pointwise resolvent estimates and a standard nonlinear bootstrap analysis, using an ad-hoc family of analytic and Gevrey-γ norms.

Original languageEnglish (US)
Pages (from-to)1679-1702
Number of pages24
JournalMathematical Research Letters
Issue number6
StatePublished - 2021

All Science Journal Classification (ASJC) codes

  • General Mathematics


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