The Cauchy problem for the 3-D Vlasov-Poisson system with point charges
Carlo Marchioro, Evelyne Miot, Mario Pulvirenti
TL;DR
This paper proves the global existence and uniqueness of solutions for the 3-D Vlasov-Poisson system with point charges under repulsive forces, extending previous 2-D results to three dimensions.
Contribution
It extends the known 2-D results on the plasma-charge model to the 3-D case, establishing global well-posedness with point charges.
Findings
Global existence of solutions in 3-D with point charges
Uniqueness of solutions under repulsive interaction
Extension of 2-D results to 3-D case
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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