We study the asymptotic behavior of small data solutions to the screened Vlasov–Poisson equation on (Formula presented.) near vacuum. We show that for dimensions (Formula presented.), under mild assumptions on localization (in terms of spatial moments) and regularity (in terms of at most three Sobolev derivatives) solutions scatter freely. In dimension (Formula presented.), we obtain a long-time existence result in analytic regularity.
On the stability of vacuum in the screened Vlasov–Poisson equation / Iacobelli, M., Rossi, S., Widmayer, K.. - In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6107. - 113:1(2026). [10.1112/jlms.70426]
On the stability of vacuum in the screened Vlasov–Poisson equation
Rossi, Stefano;
2026
Abstract
We study the asymptotic behavior of small data solutions to the screened Vlasov–Poisson equation on (Formula presented.) near vacuum. We show that for dimensions (Formula presented.), under mild assumptions on localization (in terms of spatial moments) and regularity (in terms of at most three Sobolev derivatives) solutions scatter freely. In dimension (Formula presented.), we obtain a long-time existence result in analytic regularity.| File | Dimensione | Formato | |
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