A lagrangian study of dynamics and singularity formation at magnetic null points in ideal three-dimensional magnetohydrodynamics

I. Klapper, A. Rado, Michael Tabor

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

The ideal three-dimensional incompressible magnetohydrodynamics equations are analyzed at magnetic null points using a generalization of a method from fluid dynamics. A closed system of ordinary differential equations governing the evolution of traces of matrices associated with the fluid velocity and magnetic field gradients are derived using a model for the pressure Hessian. It is shown rigorously that the eigenvalues of the magnetic field gradient matrix are constant in time and that, in the model, a finite time singularity occurs with characteristics similar to the magnetic field-free case.

Original languageEnglish (US)
Pages (from-to)4281-4283
Number of pages3
JournalPhysics of Plasmas
Volume3
Issue number11
StatePublished - 1996

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magnetohydrodynamics
magnetic fields
gradients
fluid dynamics
matrices
differential equations
eigenvalues
velocity distribution
fluids

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

A lagrangian study of dynamics and singularity formation at magnetic null points in ideal three-dimensional magnetohydrodynamics. / Klapper, I.; Rado, A.; Tabor, Michael.

In: Physics of Plasmas, Vol. 3, No. 11, 1996, p. 4281-4283.

Research output: Contribution to journalArticle

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