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

Alexandru D. Ionescu; Benoit Pausader; Xuecheng Wang; Klaus Widmayer

doi:10.1093/imrn/rnab155

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

Alexandru D. Ionescu, Benoit Pausader, Xuecheng Wang, Klaus Widmayer

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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.

Original language	English (US)
Pages (from-to)	8865-8889
Number of pages	25
Journal	International Mathematics Research Notices
Volume	2022
Issue number	12
DOIs	https://doi.org/10.1093/imrn/rnab155
State	Published - Jun 1 2022

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnab155

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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.",

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AU - Ionescu, Alexandru D.

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AU - Wang, Xuecheng

AU - Widmayer, Klaus

PY - 2022/6/1

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JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

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

Abstract

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