Periodic Solutions of the Vlasov-Poisson System with Boundary Conditions - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Rapport Année : 1998

Periodic Solutions of the Vlasov-Poisson System with Boundary Conditions

Frédéric Poupaud
  • Fonction : Auteur

Résumé

We study the Vlasov-Poisson system with time periodic boundary conditions. For small data we prove existence of weak periodic solutions in any space dimension. In the one dimensional case the result is stronger: we obtain existence of mild solution and uniqueness of this solution when the data are smooth. It is necessary to impose a non vanishing condition for the incoming velocities in order to control the life-time of particles in the domain.

Domaines

Autre [cs.OH]
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Dates et versions

inria-00073166 , version 1 (24-05-2006)

Identifiants

  • HAL Id : inria-00073166 , version 1

Citer

Mihai Bostan, Frédéric Poupaud. Periodic Solutions of the Vlasov-Poisson System with Boundary Conditions. RR-3518, INRIA. 1998. ⟨inria-00073166⟩
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