Global well-posedness of Vlasov-Poisson-type systems in bounded domains

Abstract

In this paper we prove global existence of classical solutions to the Vlasov-Poisson and the ionic Vlasov-Poisson models in bounded domains. On the boundary, we consider the specular reflection boundary condition for the Vlasov equation and either homogeneous Dirichlet or Neumann conditions for the Poisson equations.

References in corpus (3)

• Global Existence for the Vlasov-Poisson System in Bounded Domains
• On the Lagrangian structure of transport equations: the Vlasov-Poisson system
• The Lagrangian structure of the Vlasov-Poisson system in domains with specular reflection