Local sufficient condition for magnetohydrodynamic stability of closed line systems

Eliezer Hameiri

Research output: Contribution to journalArticle

Abstract

A sixth-order system of ordinary differntial equations along field lines is shown to have lower energy than the full magnetohydrodynamic system and thus offers a sufficient condition for stability. The two energies agree for all modes localized on field lines so that our criterion appears to be not overly restrictive. It is indeed the most optimistic sufficient condition in the literature. The criterion can be reduced to an eigenvalue problem of a single second-order integro-differential equation.

Original languageEnglish (US)
Pages (from-to)889-894
Number of pages6
JournalPhysics of Fluids
Volume23
Issue number5
StatePublished - 1980

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Integrodifferential equations
magnetohydrodynamic stability
Magnetohydrodynamics
magnetohydrodynamics
differential equations
eigenvalues
energy

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Physics and Astronomy(all)
  • Mechanics of Materials
  • Computational Mechanics
  • Fluid Flow and Transfer Processes

Cite this

Local sufficient condition for magnetohydrodynamic stability of closed line systems. / Hameiri, Eliezer.

In: Physics of Fluids, Vol. 23, No. 5, 1980, p. 889-894.

Research output: Contribution to journalArticle

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