Nonneutral global solutions for the electron euler-poisson system in three dimensions

Pierre Germain, Nader Masmoudi, Benoit Pausader

Research output: Contribution to journalArticle

Abstract

We prove that small, smooth irrotational but charged perturbations of a constant background are global and go back to equilibrium in the three-dimensional electron Euler-Poisson equation.

Original languageEnglish (US)
Pages (from-to)267-278
Number of pages12
JournalSIAM Journal on Mathematical Analysis
Volume45
Issue number1
DOIs
StatePublished - 2013

Fingerprint

Euler-Poisson Equations
Poisson equation
Global Solution
Three-dimension
Euler
Siméon Denis Poisson
Electron
Perturbation
Three-dimensional
Electrons
Background

Keywords

  • Euler-Poisson
  • Global existence
  • Plasma physics
  • Quasi-linear Klein-Gordon equations

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Computational Mathematics

Cite this

Nonneutral global solutions for the electron euler-poisson system in three dimensions. / Germain, Pierre; Masmoudi, Nader; Pausader, Benoit.

In: SIAM Journal on Mathematical Analysis, Vol. 45, No. 1, 2013, p. 267-278.

Research output: Contribution to journalArticle

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