Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation
Analysis of PDEs
2021-12-01 v2 Mathematical Physics
math.MP
Abstract
We analyze the analytic Landau damping problem for the Vlasov-HMF equation, by fixing the asymptotic behavior of the solution. We use a new method for this "scattering problem", closer to the one used for the Cauchy problem. In this way we are able to compare the two results, emphasizing the different influence of the plasma echoes in the two approaches. In particular, we prove a non-perturbative result for the scattering problem.
Keywords
Cite
@article{arxiv.2103.15932,
title = {Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation},
author = {Dario Benedetto and Emanuele Caglioti and Stefano Rossi},
journal= {arXiv preprint arXiv:2103.15932},
year = {2021}
}
Comments
24 pages