Stability analysis of collisionless plasmas with specularly reflecting boundary

Toan T. Nguyen, Walter A. Strauss

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper we provide sharp criteria for linear stability or instability of equilibria of collisionless plasmas in the presence of boundaries. Specifically, we consider the relativistic Vlasov-Maxwell system with specular reflection at the boundary for the particles and with the perfectly conducting boundary condition for the electromagnetic field. Here we initiate our investigation in the simple geometry of radial and longitudinal symmetry.

Original languageEnglish (US)
Pages (from-to)777-808
Number of pages32
JournalSIAM Journal on Mathematical Analysis
Volume45
Issue number2
DOIs
StatePublished - Jul 10 2013

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Collisionless plasmas
Plasma stability
Electromagnetic fields
Stability Analysis
Plasma
Boundary conditions
Maxwell System
Geometry
Linear Stability
Electromagnetic Fields
Symmetry

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

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Stability analysis of collisionless plasmas with specularly reflecting boundary. / Nguyen, Toan T.; Strauss, Walter A.

In: SIAM Journal on Mathematical Analysis, Vol. 45, No. 2, 10.07.2013, p. 777-808.

Research output: Contribution to journalArticle

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