On Wojtier's force free minimizers and Moffatt's magnetic relaxation

27 Aug 2020 Komendarczyk R.

In this note, we exhibit a situation where a stationary state of Moffatt's ideal magnetic relaxation problem is different than the corresponding force-free $L^2$ energy minimizer of Wojtier's variational principle. Such examples have been envisioned in Moffatt's seminal work on the subject and involve divergence-free vector fields supported on collections of essentially linked magnetic tubes... (read more)

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