Minimum quadratic helicity states

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)

202993.pdf - Accepted Version



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
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’.
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 (Online):1469-7807
Published Online:21 November 2018

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