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

Authors
BENABDALLAH N
Citation
N. Benabdallah, THE CHILD-LANGMUIR REGIME FOR ELECTRON-TRANSPORT IN A PLASMA INCLUDING A BACKGROUND OF POSITIVE-IONS, Mathematical models and methods in applied sciences, 4(3), 1994, pp. 409-438
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
4
Issue
3
Year of publication
1994
Pages
409 - 438
Database
ISI
SICI code
0218-2025(1994)4:3<409:TCRFEI>2.0.ZU;2-Q
Abstract
We consider the Child-Langmuir asymptotics11,5 of a monodimensional el ectron beam flowing through a background of positive ions of constant density n(D). We extend the results valid for electron beams in the va cuum11,5 to the case of small n(D)'s. Large n(D)'s strongly modify the phase portrait of the characteristics of the Vlasov-Poisson equation and yield a different result.