Global Existence for the Vlasov-Poisson System in Bounded Domains

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.

Cited by in corpus (9)

• Regularity of the Boltzmann Equation in Convex Domains
• Formation and Propagation of Discontinuity for Boltzmann Equation in Non-Convex Domains
• Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains
• THE Fokker-Planck Equation With Absorbing Boundary Conditions
• The Cauchy problem for the 3-D Vlasov-Poisson system with point charges
• Instantaneous filling of the vacuum for the full Boltzmann equation in convex domains
• Global well-posedness of Vlasov-Poisson-type systems in bounded domains
• The Lagrangian structure of the Vlasov-Poisson system in domains with specular reflection
• Magnetic confinement at a boundary approximates specular reflection