Examines asymptotic behavior of solutions to the Vlasov–Poisson equation, indicating conditions for stability.
We study the asymptotic behavior of small data solutions to the screened Vlasov–Poisson equation on near vacuum. We show that for dimensions , 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 , we obtain a long‐time existence result in analytic regularity.
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Iacobelli et al. (2026) studied this question.
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