The stability of steady magnetohydrodynamic flows with current-vortex sheets

K. I. Ilin, Y. L. Trakhinin, V. A. Vladimirov

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The energy method of Frieman and Rotenberg was applied to investigate the linear stability of steady magnetohydrodynamic (MHD) flows of an incompressible fluid with current-vortex sheets. Non-negative definiteness of the energy was presented as necessary and sufficient condition for the stability for general magnetostatic equilibrium with a current sheet. The article also discussed about the steady MHD flows with surfaces of tangential discontinuities.

Original languageEnglish
Pages (from-to)2649-2658
Number of pages10
JournalPhysics of Plasmas
Volume10
Issue number7
DOIs
Publication statusPublished - Jul 2003

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vortex sheets
magnetohydrodynamic flow
energy methods
incompressible fluids
current sheets
magnetostatics
discontinuity
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

The stability of steady magnetohydrodynamic flows with current-vortex sheets. / Ilin, K. I.; Trakhinin, Y. L.; Vladimirov, V. A.

In: Physics of Plasmas, Vol. 10, No. 7, 07.2003, p. 2649-2658.

Research output: Contribution to journalArticle

Ilin, K. I. ; Trakhinin, Y. L. ; Vladimirov, V. A. / The stability of steady magnetohydrodynamic flows with current-vortex sheets. In: Physics of Plasmas. 2003 ; Vol. 10, No. 7. pp. 2649-2658.
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