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arXiv · 0809.2944

Distributional solutions to the Maxwell-Vlasov equations

Jonathan Gratus
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Abstract

The distributional form of the Maxwell-Vlasov equations are formulated. Submanifold distributions are analysed and the general submanifold distributional solutions to the Vlasov equations are given. The properties required so that these solutions can be a distributional source to Maxwell's equations are analysed and it is shown that a sufficient condition is that spacetime be globally hyperbolic. The cold fluid, multicurrent and water bag models of charge are shown to be particular cases of the distributional Maxwell-Vlasov system.

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Jonathan Gratus. 2008-09-17. Distributional solutions to the Maxwell-Vlasov equations. https://doi.org/10.2528/pierm10051310

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