Communications in Mathematical Physics

, Volume 210, Issue 2, pp 447–466

On the Initial Boundary Value Problem for the Vlasov–Poisson–Boltzmann System

  • Stéphane Mischler

DOI: 10.1007/s002200050787

Cite this article as:
Mischler, S. Comm Math Phys (2000) 210: 447. doi:10.1007/s002200050787

Abstract:

We prove existence of DiPerna–Lions renormalized solutions to the Boltzmann equation and to the Vlasov–Poisson–Boltzmann system for the initial boundary value problem.

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Stéphane Mischler
    • 1
  1. 1.Département de Mathématiques, Université de Versailles Saint Quentin, 45, av. des États-Unis, 78035 Versailles Cedex, France. E-mail: mischler@math.uvsq.frFR