Energy principle for magnetohydrodynamic flows and Bogoyavlenskij's transformation

K. I. Ilin, V. A. Vladimirov

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The energy method was used to investigate the stability of steady magnetohydrodynamic flows in an inviscid incompressible fluid. It was found that if a given steady magnetohydrodynamic flow is stable by the energy method, then certain infinite-dimensional families of steady flows obtained from the given flow by these transformations were also stable. Sufficient conditioons for linear stability were obtained from these results. Thus, it was shown that certain classes of steady magnetohydrodynamic flows, in which both the magnetic field and the velocity depend on all the three spatial coordinates, are stable.

Original languageEnglish
Pages (from-to)3586-3594
Number of pages9
JournalPhysics of Plasmas
Volume11
Issue number7
DOIs
Publication statusPublished - Jul 2004

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magnetohydrodynamic flow
energy methods
incompressible fluids
steady flow
energy
magnetic fields

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Energy principle for magnetohydrodynamic flows and Bogoyavlenskij's transformation. / Ilin, K. I.; Vladimirov, V. A.

In: Physics of Plasmas, Vol. 11, No. 7, 07.2004, p. 3586-3594.

Research output: Contribution to journalArticle

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