Woltjer's variational principle, II: The case of unbounded domains
- 1 June 1993
- journal article
- research article
- Published by Taylor & Francis in Geophysical & Astrophysical Fluid Dynamics
- Vol. 69 (1-4) , 201-241
- https://doi.org/10.1080/03091929308203580
Abstract
We show for a wide class of unbounded domains, that minimizing the magnetic energy subject to prescribed helicity or relative helicity, does not lead to non-trivial force-free fields. Instead, we show by an explicit construction that all minimizing sequences satisfying the helicity constraint, converge to a vacuum field.Keywords
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