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Radiative Vlasov-Maxwell Equations

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arxiv 2504.01687 v2 pith:TG4BUUWG submitted 2025-04-02 math.AP math-phmath.MP

Peter Constantin , Hezekiah Grayer II This is my paper · ORCID
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keywords radiativeequationsforcesvlasov-maxwellmomentumradiationadditionclass
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The Radiative Vlasov-Maxwell equations model the radiative kinetics of collisionless relativistic plasma. In them the Lorentz force is modified by the addition of radiation reaction forces. The radiation forces produce damping of particle energy but these forces are not divergence-free in momentum space, which has an effect of concentration near zero momentum. We prove unconditional global regularity of solutions for a class of Radiative Vlasov-Maxwell equations with large initial data.

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  1. From relativistic Vlasov-Maxwell to electron-MHD in the quasineutral regime

    math.AP 2025-05 accept novelty 8.0 of 10

    Analytic solutions of the relativistic Vlasov-Maxwell system converge, after filtering oscillatory correctors, to kinetic electron magnetohydrodynamics in the quasineutral limit.

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