The stability of steady magnetohydrodynamic flows with current-vortex sheets

Research output: Contribution to journalArticlepeer-review


The stability of steady magnetohydrodynamic flows of an inviscid incompressible fluid with current-vortex sheets to small three-dimensional perturbations is studied. The energy method of Frieman and Rotenberg is extended to the case of steady flows with surfaces of tangential discontinuities across which the tangent velocity or the tangent magnetic field or both of them have jump discontinuities. Sufficient conditions for linear stability of some classes of steady flows with parallel velocity and magnetic field are obtained. Also, a sufficient condition for instability of a tubular current-vortex sheet is given.
Original languageEnglish
Pages (from-to)2649-2658
Number of pages10
JournalPhysics of Plasmas
Issue number7
Publication statusPublished - Jul 2003


  • plasma magnetohydrodynamics,
  • vortices,
  • plasma instability

Cite this