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In this paper we deal with the existence, regularity and Beltrami field property of magnetic energy minimisers under a helicity constraint. We in particular tackle the problem of characterising local… Click to show full abstract
In this paper we deal with the existence, regularity and Beltrami field property of magnetic energy minimisers under a helicity constraint. We in particular tackle the problem of characterising local as well as global minimisers of the given minimisation problem. Further we generalise Arnold’s results concerning the problem of finding the minimum magnetic energy in an orbit of the group of volume-preserving diffeomorphisms to the setting of abstract manifolds with boundary.
Keywords:
energy;
manifolds boundary;
existence characterisation;
energy minimisers;
characterisation magnetic;
magnetic energy
Journal Title: Annals of Global Analysis and Geometry
Year Published: 2019
Link to full text (if available)
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Journal Title: Annals of Global Analysis and Geometry
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!