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

2025/03/03 by Éric Le Breton, Breton, Emile · 2 citations
Engineering · Mathematics · #35Q83 (Primary) 35B40 (Secondary) #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Superconducting Materials and Applications

paper · pdf · doi:10.48550/arxiv.2503.01677

openalex publication_date 2025/03/03 · openalex created_date 2025/10/12 · openalex updated_date 2026/07/28

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 every small data solution constructed by Glassey-Strauss.

Cited by

• The non-relativistic limit of scattering states for the Vlasov equation with short-range interaction potentials
• A note on the non-L¹ asymptotic completeness of the Vlasov-Maxwell system

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