Distributional solutions to the Maxwell-Vlasov equations

Details Distributional solutions to the Maxwell-Vlasov equations Distributional solutions to the Maxwell-Vlasov equations

2008-09-17

arxiv.org/abs/0809.2944v1

PIER M13:145-156,2010

Physics

Accelerator Physics

31 pages, 3 figures

Scientific paper

10.2528/PIERM10051310

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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