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On Woltjer’s variational principle for force-free fields
Peter Laurence, Marco Avellaneda
Source abstract
The existence of minimizers 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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