On the proof of Taylor’s conjecture in multiply connected domains

Faraco, D., Lindberg, S., MacTaggart, D. and Valli, A. (2022) On the proof of Taylor’s conjecture in multiply connected domains. Applied Mathematics Letters, 124, 107654. (doi: 10.1016/j.aml.2021.107654)

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In this Letter we extend the proof, by Faraco and Lindberg (2020), of Taylor’s conjecture in multiply connected domains to cover arbitrary vector potentials and remove the need to impose restrictions on the magnetic field to ensure gauge invariance of the helicity integral. This extension allows us to treat general magnetic fields in closed domains that are important in laboratory plasmas and brings closure to a conjecture whose resolution has been open for almost 50 years.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Mactaggart, Dr David
Authors: Faraco, D., Lindberg, S., MacTaggart, D., and Valli, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Applied Mathematics Letters
ISSN (Online):1873-5452
Published Online:09 September 2021
Copyright Holders:Copyright © 2021 Elsevier Ltd.
First Published:First published in Applied Mathematics Letters 124: 107654
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
311487Predicting solar eruptions via magnetic windingDavid MactaggartUS Air Force (USAF)FA8655-20-1-7032M&S - Mathematics