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

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

2010-03-02

arxiv.org/abs/1003.0643v1

Mathematics

Analysis of PDEs

28 pages

Scientific paper

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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