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.
Navigation auf zora.uzh.ch
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.
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.
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 |