Modified scattering for small data solutions to the Vlasov-Maxwell system: a short proof

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Auteur principal: Breton, Emile
Format: Preprint
Publié: 2025
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author Breton, Emile
author_facet Breton, Emile
contents 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 every small data solution constructed by Glassey-Strauss.
format Preprint
id arxiv_https___arxiv_org_abs_2503_01677
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Modified scattering for small data solutions to the Vlasov-Maxwell system: a short proof
Breton, Emile
Analysis of PDEs
Mathematical Physics
35Q83 (Primary) 35B40 (Secondary)
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 every small data solution constructed by Glassey-Strauss.
title Modified scattering for small data solutions to the Vlasov-Maxwell system: a short proof
topic Analysis of PDEs
Mathematical Physics
35Q83 (Primary) 35B40 (Secondary)
url https://arxiv.org/abs/2503.01677