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arXiv · 2103.15932

Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation

Dario Benedetto·Emanuele Caglioti·Stefano Rossi
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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.

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Dario Benedetto, Emanuele Caglioti, Stefano Rossi. 2021-03-29. Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation. https://arxiv.org/abs/2103.15932

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