On Woltjer's variational principle for force-free fields

Peter Laurence, Marco Avellaneda

Research output: Contribution to journalArticlepeer-review


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
Issue number5
StatePublished - 1991

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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