The guiding center approximation for the 2D Vlasov-Poisson equation

François Golse; Laure Saint-Raymond

doi:10.1016/S0764-4442(99)80034-2

The guiding center approximation for the 2D Vlasov-Poisson equation

François Golse
, Laure Saint-Raymond

Laboratoire de Probabilités et Modèles Aléatoires

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

Abstract

Consider the plane motion of a gas of charged particles subject to the self-consistent electric field and to a constant external magnetic field orthogonal to the plane of motion. As the intensity of the magnetic field tends to infinity, the asymptotic behavior, in the long time limit, of the average density of particles obeys the vorticity formulation of the 2D incompressible Euler equation.

Translated title of the contribution	L'approximation centre-guide pour l'équation de Vlasov-Poisson 2D
Original language	English
Pages (from-to)	865-870
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	327
Issue number	10
DOIs	https://doi.org/10.1016/S0764-4442(99)80034-2
Publication status	Published - 1 Jan 1998
Externally published	Yes

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10.1016/S0764-4442(99)80034-2

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title = "The guiding center approximation for the 2D Vlasov-Poisson equation",

abstract = "Consider the plane motion of a gas of charged particles subject to the self-consistent electric field and to a constant external magnetic field orthogonal to the plane of motion. As the intensity of the magnetic field tends to infinity, the asymptotic behavior, in the long time limit, of the average density of particles obeys the vorticity formulation of the 2D incompressible Euler equation.",

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AU - Saint-Raymond, Laure

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AB - Consider the plane motion of a gas of charged particles subject to the self-consistent electric field and to a constant external magnetic field orthogonal to the plane of motion. As the intensity of the magnetic field tends to infinity, the asymptotic behavior, in the long time limit, of the average density of particles obeys the vorticity formulation of the 2D incompressible Euler equation.

UR - https://www.scopus.com/pages/publications/0002160154

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DO - 10.1016/S0764-4442(99)80034-2

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The guiding center approximation for the 2D Vlasov-Poisson equation

Abstract

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