The stability of steady magnetohydrodynamic flows with current-vortex sheets

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

doi:10.1063/1.1579494

The stability of steady magnetohydrodynamic flows with current-vortex sheets

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

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

15 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 language	English
Pages (from-to)	2649-2658
Number of pages	10
Journal	Physics of Plasmas
Volume	10
Issue number	7
DOIs	https://doi.org/10.1063/1.1579494
Publication status	Published - Jul 2003

ASJC Scopus subject areas

Condensed Matter Physics

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10.1063/1.1579494

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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.",

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N2 - 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.

AB - 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.

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The stability of steady magnetohydrodynamic flows with current-vortex sheets

Abstract

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