Annali di Matematica Pura ed Applicata

, Volume 164, Issue 1, pp 133–154 | Cite as

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

  • Jürgen Batt
  • Gerhard Rein


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.


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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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