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

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

17 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
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics

Access to Document

10.1063/1.1579494

Cite this

@article{44b0206ef6b7418fb754eaffd8b3df2e,

title = "The stability of steady magnetohydrodynamic flows with current-vortex sheets",

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.",

author = "Ilin, {K. I.} and Trakhinin, {Y. L.} and Vladimirov, {V. A.}",

year = "2003",

month = jul,

doi = "10.1063/1.1579494",

language = "English",

volume = "10",

pages = "2649--2658",

journal = "Physics of Plasmas",

issn = "1070-664X",

publisher = "American Institute of Physics Publising LLC",

number = "7",

}

TY - JOUR

T1 - The stability of steady magnetohydrodynamic flows with current-vortex sheets

AU - Ilin, K. I.

AU - Trakhinin, Y. L.

AU - Vladimirov, V. A.

PY - 2003/7

Y1 - 2003/7

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.

UR - http://www.scopus.com/inward/record.url?scp=0038105164&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038105164&partnerID=8YFLogxK

U2 - 10.1063/1.1579494

DO - 10.1063/1.1579494

M3 - Article

AN - SCOPUS:0038105164

SN - 1070-664X

VL - 10

SP - 2649

EP - 2658

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 7

ER -

The stability of steady magnetohydrodynamic flows with current-vortex sheets

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this