On Woltjer's variational principle for force-free fields

Peter Laurence, Marco Avellaneda

Research output: Contribution to journalArticle

Abstract

The existence of minitnizers for Woltjer's variational principle is established and that the minimizers are force-free fields. This method has the nature of a constructive implicit function theorem and handles successfully the nonconvex constraint of constant total helicity. Domains of arbitrary connectivity are allowed as well as nonhomogeneous boundary conditions and periods.

Original languageEnglish (US)
Pages (from-to)1240-1253
Number of pages14
JournalJournal of Mathematical Physics
Volume32
Issue number5
StatePublished - 1991

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Nonhomogeneous Boundary Conditions
Implicit Function Theorem
Helicity
variational principles
Minimizer
Variational Principle
Connectivity
theorems
Boundary conditions
boundary conditions
Arbitrary

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

On Woltjer's variational principle for force-free fields. / Laurence, Peter; Avellaneda, Marco.

In: Journal of Mathematical Physics, Vol. 32, No. 5, 1991, p. 1240-1253.

Research output: Contribution to journalArticle

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