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)

Abstract

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
• Status: Published
• Refereed: Yes
• 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
• Publisher: Elsevier
• ISSN: 0893-9659
• 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 Code	Award No	Project Name	Principal Investigator	Funder's Name	Funder Ref	Lead Dept
311487		Predicting solar eruptions via magnetic winding	David Mactaggart	US Air Force (USAF)	FA8655-20-1-7032	M&S - Mathematics