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

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arxiv 2503.01677 v2 pith:L5RWJ5GB submitted 2025-03-03 math.AP math-phmath.MP

Emile Breton This is my paper · ORCID
classification math.APmath-phmath.MP
keywords datamodifiedscatteringsmallsolutionsystemvlasov-maxwellapplies
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The non-relativistic limit of scattering states for the Vlasov equation with short-range interaction potentials

    math.AP 2025-09 conditional novelty 7.0 of 10

    Relativistic scattering states of the Vlasov equation converge to their non-relativistic counterparts at order c^{-2} as c tends to infinity, proven through a new classical wave operator method.

  2. A note on the non-$L^1$ asymptotic completeness of the Vlasov-Maxwell system

    math.AP 2025-09 conditional novelty 6.0 of 10

    For nonzero asymptotic charge Q∞, small-data solutions of the relativistic Vlasov-Maxwell system do not scatter linearly in L1; linear scattering forces Q∞=0.

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