The stability of steady magnetohydrodynamic flows with current-vortex sheets

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

Research output: Contribution to journalArticle

8 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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