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On the Asymptotic Behavior of Solutions to the Vlasov–Poisson System

Ionescu, Alexandru D; Pausader, Benoit; Wang, Xuecheng; Widmayer, Klaus (2022). On the Asymptotic Behavior of Solutions to the Vlasov–Poisson System. International Mathematics Research Notices, 2022(12):8865-8889.

Abstract

We prove small data modified scattering for the Vlasov–Poisson system in dimension d=3⁠, using a method inspired from dispersive analysis. In particular, we identify a simple asymptotic dynamics related to the scattering mass.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:General Mathematics
Language:English
Date:17 May 2022
Deposited On:10 Oct 2022 05:23
Last Modified:27 Dec 2024 02:43
Publisher:Oxford University Press
ISSN:1073-7928
Additional Information:This work was supported in part by the National Science Foundation (grant DMS-2007008 to A.I.; DMS-1700282 to B.P.) and the National Science Foundation of China (NSFC-11801299 to X.W.).
OA Status:Closed
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1093/imrn/rnab155

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