Akhmet'ev, P.M., Candelaresi, S. and Smirnov, A.Y. (2018) Minimum quadratic helicity states. Journal of Plasma Physics, 84(6), 775840601. (doi: 10.1017/s0022377818001095)
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Abstract
Building on previous results on the quadratic helicity in magnetohydrodynamics (MHD) we investigate particular minimum helicity states. These are eigenfunctions of the curl operator and are shown to constitute solutions of the quasi-stationary incompressible ideal MHD equations. We then show that these states have indeed minimum quadratic helicity.
Item Type: | Articles |
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Additional Information: | P.M.A. was supported in part by the RFBR GFEN 17-52-53203; RFBR 16-51- 150005. S.C. acknowledges financial support from the UK’s STFC (grant number ST/K000993). A.Y.S. acknowledges financial support from the Ministry of Education and Science of the Russian Federation in the framework of increase Competitiveness Program of NUST ‘MISIS’. |
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Candelaresi, Dr Simon |
Authors: | Akhmet'ev, P.M., Candelaresi, S., and Smirnov, A.Y. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Journal of Plasma Physics |
Publisher: | Cambridge University Press |
ISSN: | 0022-3778 |
ISSN (Online): | 1469-7807 |
Published Online: | 21 November 2018 |
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