Annali di Matematica Pura ed Applicata

, Volume 164, Issue 1, pp 133–154

A rigorous stability result for the Vlasov-Poisson system in three dimensions

  • Jürgen Batt
  • Gerhard Rein

DOI: 10.1007/BF01759319

Cite this article as:
Batt, J. & Rein, G. Annali di Matematica pura ed applicata (1993) 164: 133. doi:10.1007/BF01759319


It is proven that in a neutral two-component plasma with space homogeneous positively charged background, which is governed by the Vlasov-Poisson system and for which Poisson's equation is considered on a cube inR3 with periodic boundary conditions, the space homogeneous stationary solutions g with energy gradient ∂g/∂ε ≤ 0 and compact support are (nonlinearly) stable in the L1-norm with respect to weak solutions of the initial value problem.

Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1993

Authors and Affiliations

  • Jürgen Batt
    • 1
  • Gerhard Rein
    • 1
  1. 1.Mathematisches Institut der Universität MünchenMünchen 2Germany

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