Journal
APPLIED MATHEMATICS LETTERS
Volume 124, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2021.107654
Keywords
Magnetohydro dynamics; Magnetic helicity; Magnetic relaxation; Turbulence
Categories
Funding
- Spanish Ministry of Science and Innovation through the Severo Ochoa Programme for Centres of Excellence in RD [CEX2019-000904-S]
- CAM
- ERC [834728]
- AFOSR [FA8655-20-1-7032]
- INdAM-GNCS
- [MTM2017-85934-C3-2-P2]
- European Research Council (ERC) [834728] Funding Source: European Research Council (ERC)
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In this letter, the proof by Faraco and Lindberg (2020) of Taylor's conjecture in multiply connected domains is extended to include arbitrary vector potentials and remove the need for restrictions on the magnetic field to ensure gauge invariance of the helicity integral. This extension allows for the treatment of general magnetic fields in closed domains, closing a conjecture that has been open for almost 50 years.
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. (C) 2021 Elsevier Ltd. All rights reserved.
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