REVIEW 2 cited by
Nonlinear Landau damping and wave operators in sharp Gevrey spaces
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We prove nonlinear Landau damping in optimal weighted Gevrey-3 spaces for solutions of the confined Vlasov-Poisson system on $\T^d\times\R^d$ which are small perturbations of homogeneous Penrose-stable equilibria. We also prove the existence of nonlinear scattering operators associated to the confined Vlasov-Poisson evolution, as well as suitable injectivity properties and Lipschitz estimates (also in weighted Gevrey-3 spaces) on these operators. Our results give definitive answers to two well-known open problems in the field, both of them stated in the recent review of Bedrossian [4, Section 6].
Forward citations
Cited by 2 Pith papers
-
Landau damping below survival threshold
Nonlinear plasma oscillations and Landau damping are established for the Vlasov-Klein-Gordon system near radial equilibria, with electric field decay of order t^{-3/2} below the survival threshold.
-
Nonlinear stability of the one dimensional screened Vlasov Poisson equation
Small Gevrey-2 initial data for the 1D Vlasov-Yukawa system yield global solutions with density derivatives decaying like (t+1)^{-n-1}.
Discussion (0). Continue with ORCID to comment.