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

Pierre Germain; Nader Masmoudi; Benoit Pausader

doi:10.1137/12087270X

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

Pierre Germain, Nader Masmoudi, Benoit Pausader

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	267-278
Number of pages	12
Journal	SIAM Journal on Mathematical Analysis
Volume	45
Issue number	1
DOIs	https://doi.org/10.1137/12087270X
State	Published - 2013

Keywords

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

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/12087270X

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title = "Nonneutral global solutions for the electron euler-poisson system in three dimensions",

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.",

keywords = "Euler-Poisson, Global existence, Plasma physics, Quasi-linear Klein-Gordon equations",

author = "Pierre Germain and Nader Masmoudi and Benoit Pausader",

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AU - Masmoudi, Nader

AU - Pausader, Benoit

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N2 - 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.

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KW - Global existence

KW - Plasma physics

KW - Quasi-linear Klein-Gordon equations

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

Abstract

Keywords

ASJC Scopus subject areas

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