THE CHILD-LANGMUIR REGIME FOR ELECTRON TRANSPORT IN A PLASMA INCLUDING A BACKGROUND OF POSITIVE IONS-Reference-Cited by-同舟云学术

THE CHILD-LANGMUIR REGIME FOR ELECTRON TRANSPORT IN A PLASMA INCLUDING A BACKGROUND OF POSITIVE IONS

Published:1994-06 Issue:03 Volume:04 Page:409-438
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

ABDALLAH NAOUFEL BEN¹²

Affiliation:

1. Centre de Mathématiques et Leurs Applications (URA CNRS 1611), Ecole Normale Supérieure de Cachan 61, avenue du Président Wilson, 94235 Cachan Cedex, France

2. Centre de Mathématiques Appliquées (URA CNRS 756), Ecole Polytechnique 91128 Palaiseau Cedex, France

Abstract

We consider the Child-Langmuir asymptotics11,5 of a monodimensional electron beam flowing through a background of positve ions of constant density nD. We extend the results valid for electron beams in the vacuum11,5 to the case of small nD’s. Large nD’s strongly modify the phase portrait of the characteristics of the Vlasov-Poisson equation and yield a different result.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202594000236

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