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arxiv: 1003.0643 · v1 · pith:IYMEEUYKnew · submitted 2010-03-02 · 🧮 math.AP · math-ph· math.MP

The Cauchy problem for the 3-D Vlasov-Poisson system with point charges

classification 🧮 math.AP math-phmath.MP
keywords chargespointsystemvlasov-poissonanalogeousanalysisappearcaprino
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In this paper we establish global existence and uniqueness of the solution to the three-dimensional Vlasov-Poisson system in presence of point charges in case of repulsive interaction. The present analysis extends an analogeous two-dimensional result by Caprino and Marchioro [On the plasma-charge model, to appear in Kinetic and Related Models (2010)].

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