Distributional solutions to the Maxwell-Vlasov equations
نویسنده
چکیده
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. PACS numbers: 52.65.Ff, 03.50.De, 41.75.Ht, 02.30.Cj AMS classification scheme numbers: 46F66, 53Z05, 78A25 Submitted to: J. Phys. A: Math. Gen.
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تاریخ انتشار 2008