On Woltjer's variational principle for force-free fields

Peter Laurence; Marco Avellaneda

doi:10.1063/1.529321

On Woltjer's variational principle for force-free fields

Peter Laurence, Marco Avellaneda

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	1240-1253
Number of pages	14
Journal	Journal of Mathematical Physics
Volume	32
Issue number	5
DOIs	https://doi.org/10.1063/1.529321
State	Published - 1991

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.529321

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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.",

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On Woltjer's variational principle for force-free fields

Abstract

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