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This is a Quantitative Study study.

October 13, 2025Open Access

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

ÉBÉric Le BretonCentre National de la Recherche Scientifique

Key Points

The distribution function shows modified scattering behavior for global solutions to the Vlasov-Maxwell system.
The results apply to small data solutions constructed by Glassey-Strauss, emphasizing their significance.
Fast decay of the electromagnetic field is crucial for the modified scattering dynamics observed.
The proof confirms that compactly supported data leads to important scattering outcomes in this context.

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.

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Cite This Study

Éric Le Breton (Mon,) studied this question.

synapsesocial.com/papers/68ece2abd1bb2827d1297349 https://doi.org/https://doi.org/10.48550/arxiv.2503.01677

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