Woltjer's variational principle, II

The case of unbounded domains

Peter Laurence, Marco Avellaneda

Research output: Contribution to journalArticle

Abstract

We show for a wide class of unbounded domains, that minimizing the magnetic energy subject to prescribed helicity or relative helicity, does not lead to non-trivial force-free fields. Instead, we show by an explicit construction that all minimizing sequences satisfying the helicity constraint, converge to a vacuum field.

Original languageEnglish (US)
Pages (from-to)201-241
Number of pages41
JournalGeophysical and Astrophysical Fluid Dynamics
Volume69
Issue number1-4
StatePublished - 1993

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variational principles
Vacuum
vacuum
energy

Keywords

  • Energy
  • Helicity
  • Lack of compactness

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics
  • Mechanics of Materials
  • Computational Mechanics
  • Astronomy and Astrophysics

Cite this

Woltjer's variational principle, II : The case of unbounded domains. / Laurence, Peter; Avellaneda, Marco.

In: Geophysical and Astrophysical Fluid Dynamics, Vol. 69, No. 1-4, 1993, p. 201-241.

Research output: Contribution to journalArticle

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