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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2024 Volume 327, Pages 238–248 (Mi tm4430)
Volume Enclosed by a Flux Surface

R. S. MacKay

Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK

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.

Received: May 11, 2024
Revised: August 18, 2024
Accepted: August 20, 2024

DOI: 10.4213/tm4430


 English version: Proceedings of the Steklov Institute of Mathematics, 2024, 327, 226–235

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© Steklov Math. Inst. of RAS, 2025