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VOL. 64 | 2015 The mathematical justification of the Bohm criterion in plasma physics
Shinya Nishibata, Masashi Ohnawa, Masahiro Suzuki

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

In plasma physics, the Bohm criterion is known as a necessary condition for the formation of the boundary layer called sheath. Our aim is to validate the Bohm criterion from the mathematical point of view. First, we define the sheath as a stationary solution to the Euler–Poisson equations over a half space since the Bohm criterion is proved to be sufficient for the existence of the stationary solution. Then we study the asymptotic stability of the stationary solution under the degenerate or nondegenerate Bohm criterion.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1335.35244
MathSciNet: MR3381316

Digital Object Identifier: 10.2969/aspm/06410489

Subjects:

Rights: Copyright © 2015 Mathematical Society of Japan

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