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

Analysis of PDEs 2015-05-18 v1 Mathematical Physics math.MP

Abstract

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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Cite

@article{arxiv.1003.0643,
  title  = {The Cauchy problem for the 3-D Vlasov-Poisson system with point charges},
  author = {Carlo Marchioro and Evelyne Miot and Mario Pulvirenti},
  journal= {arXiv preprint arXiv:1003.0643},
  year   = {2015}
}

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28 pages