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

15 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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title = "On the Asymptotic Behavior of Solutions to the Vlasov-Poisson System",

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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T1 - On the Asymptotic Behavior of Solutions to the Vlasov-Poisson System

AU - Ionescu, Alexandru D.

AU - Pausader, Benoit

AU - Wang, Xuecheng

AU - Widmayer, Klaus

PY - 2022/6/1

Y1 - 2022/6/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85132918243

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U2 - 10.1093/imrn/rnab155

DO - 10.1093/imrn/rnab155

M3 - Article

AN - SCOPUS:85132918243

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JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 12

ER -

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

Abstract

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