Modified Scattering for Small Data Solutions to the Vlasov–Maxwell System: A Short Proof

We prove that for any global solution to the Vlasov–Maxwell system arising from compactly supported data, and such that the electromagnetic field decays fast enough, the distribution function exhibits a modified scattering dynamic. In particular, our result applies to small data solutions constructed by Glassey and Strauss.

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Publication Details

Journal
Asymptotic Analysis
Published
2025-10-03
DOI
https://doi.org/10.1177/09217134251378921
Citations
1
Primary Topic
Gas Dynamics and Kinetic Theory
Type
article
Field-Weighted Citation Impact
3.73
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article

Modified Scattering for Small Data Solutions to the Vlasov–Maxwell System: A Short Proof

Éric Le Breton
1 citations
Asymptotic Analysis
Gas Dynamics and Kinetic Theory
3.73
article

Modified Scattering for Small Data Solutions to the Vlasov–Maxwell System: A Short Proof

Éric Le Breton
article en
1 citations

Abstract

We prove that for any global solution to the Vlasov–Maxwell system arising from compactly supported data, and such that the electromagnetic field decays fast enough, the distribution function exhibits a modified scattering dynamic. In particular, our result applies to small data solutions constructed by Glassey and Strauss.

Asymptotic Analysis
Centre National de la Recherche Scientifique (FR), Institut de recherche mathématique de Rennes (FR), Université de Rennes (FR)
Openalex Percentile: Top 7%
Gas Dynamics and Kinetic Theory
3.73
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