Linear Stability Analysis of a Hot Plasma in a Solid Torus

Toan Nguyen, Walter A. Strauss

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

This paper is a first step toward understanding the effect of toroidal geometry on the rigorous stability theory of plasmas. We consider a collisionless plasma inside a torus, modeled by the relativistic Vlasov-Maxwell system. The surface of the torus is perfectly conducting and it reflects the particles specularly. We provide sharp criteria for the stability of equilibria under the assumption that the particle distributions and the electromagnetic fields depend only on the cross-sectional variables of the torus.

Original languageEnglish (US)
Pages (from-to)619-672
Number of pages54
JournalArchive for Rational Mechanics and Analysis
Volume211
Issue number2
DOIs
StatePublished - Feb 1 2014

Fingerprint

Linear stability analysis
Linear Stability Analysis
Torus
Plasma
Collisionless plasmas
Plasmas
Electromagnetic fields
Maxwell System
Stability of Equilibria
Stability Theory
Electromagnetic Fields
Geometry

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

Cite this

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Linear Stability Analysis of a Hot Plasma in a Solid Torus. / Nguyen, Toan; Strauss, Walter A.

In: Archive for Rational Mechanics and Analysis, Vol. 211, No. 2, 01.02.2014, p. 619-672.

Research output: Contribution to journalArticle

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