On the proof of Taylor's conjecture in multiply connected domains
Mathematical Physics
2021-06-30 v1 math.MP
Plasma Physics
Abstract
In this Letter we extend the proof, by Faraco and Lindberg, of Taylor's conjecture in multiply connected domains to cover arbitrary vector potentials and remove the need to impose conditions on the magnetic field due to gauge invariance. This extension allows us to treat general magnetic fields in closed domains that are important in laboratory plasmas and brings closure to a problem that has been open for almost 50 years.
Keywords
Cite
@article{arxiv.2106.14936,
title = {On the proof of Taylor's conjecture in multiply connected domains},
author = {Daniel Faraco and Sauli Lindberg and David MacTaggart and Alberto Valli},
journal= {arXiv preprint arXiv:2106.14936},
year = {2021}
}