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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2024, Volume 327, Pages 238–248
DOI: https://doi.org/10.4213/tm4430 (Mi tm4430) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Volume Enclosed by a Flux Surface

R. S. MacKay

Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK
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DOI: https://doi.org/10.4213/tm4430
Abstract: The paper describes ways that the computation of the volume enclosed by a flux surface (invariant torus) for a magnetic field can be reduced from a 3D integral to a 2D integral.
Keywords: magnetic field, flux surface, enclosed volume.
Funding agency Grant number
Simons Foundation 601970
This work was supported by a grant from the Simons Foundation (601970, RSM).
Received: May 11, 2024
Revised: August 18, 2024
Accepted: August 20, 2024
Published: 12.03.2025
English version:
Proceedings of the Steklov Institute of Mathematics, 2024, Volume 327, Pages 226–235
DOI: https://doi.org/10.1134/S0081543824060154
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. S. MacKay, “Volume Enclosed by a Flux Surface”, Mathematical Aspects of Mechanics, Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 327, Steklov Math. Inst., Moscow, 2024, 238–248; Proc. Steklov Inst. Math., 327 (2024), 226–235
Citation in format AMSBIB
\Bibitem{Mac24}
\by R.~S.~MacKay
\paper Volume Enclosed by a Flux Surface
\inbook Mathematical Aspects of Mechanics
\bookinfo Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2024
\vol 327
\pages 238--248
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4430}
\crossref{https://doi.org/10.4213/tm4430}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2024
\vol 327
\pages 226--235
\crossref{https://doi.org/10.1134/S0081543824060154}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105001531409}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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