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

I. Klapper, A. Rado, M. Tabor

Research output: Contribution to journalArticle

24 Scopus citations

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
DOIs
StatePublished - Jan 1 1996

ASJC Scopus subject areas

  • Condensed Matter Physics

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