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

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)].

28 pages

References in corpus (1)

• Global Existence for the Vlasov-Poisson System in Bounded Domains

Cited by in corpus (3)

• Stability of a point charge for the Vlasov-Poisson system: the radial case
• On the magnetic shield for a Vlasov-Poisson plasma
• A fast point charge interacting with the screened Vlasov-Poisson system