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.
Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation / Benedetto, Dario; Caglioti, Emanuele; Rossi, Stefano. - In: ASYMPTOTIC ANALYSIS. - ISSN 0921-7134. - 129:2(2022), pp. 215-238. [10.3233/ASY-211726]
Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation
Benedetto Dario;Caglioti Emanuele
;Rossi Stefano
2022
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.| File | Dimensione | Formato | |
|---|---|---|---|
|
Benedetto_preprint_Comparison_2021.pdf
accesso aperto
Tipologia:
Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
296.33 kB
Formato
Adobe PDF
|
296.33 kB | Adobe PDF | |
|
Benedetto_postprint_Comparison_2021.pdf
accesso aperto
Tipologia:
Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
6.02 MB
Formato
Adobe PDF
|
6.02 MB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
