Global Existence for the Vlasov-Poisson System in Bounded Domains

TL;DR

This paper proves the global existence of solutions to the Vlasov-Poisson system within convex bounded domains, considering specific boundary conditions and an outward electrical field.

Contribution

It establishes the first global existence result for the Vlasov-Poisson system in convex bounded domains with specified boundary conditions.

Findings

Global existence of solutions proven

Applicable to convex bounded domains

Handles specific boundary conditions

Abstract

In this paper we prove global existence for solutions of the Vlasov-Poisson system in convex bounded domains with specular boundary conditions and with a prescribed outward electrical field at the boundary.