A new description of force-free magnetic fields

DOI10.1063/1.531003zbMath0843.76098OpenAlexW2092703781MaRDI QIDQ4873318

Malcolm A. MacLeod

Publication date: 22 August 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531003

zbMATH Keywords

classificationfield with fractal supportlinear magnetic fieldsMoses curl eigenfunctionsTrkalian subset of Beltrami fieldsunit hemisphere in transform space

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (5)

Beltrami vector fields with an icosahedral symmetry ⋮ TOPOLOGICALLY MASSIVE ABELIAN GAUGE THEORY ⋮ Trkalian fields: ray transforms and mini-twistors ⋮ The spherical curl transform of a linear force-free magnetic field ⋮ Trkalian fields and Radon transformation

Cites Work

• The Beltrami spectrum for incompressible fluid flows
• Remarks on spectra of operator rot
• Families of Orthogonal and Biorthogonal Polynomials on theN-Sphere
• Chaotic streamlines in the ABC flows
• Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 2. Stability considerations
• Some notes on periodic Beltrami fields in Cartesian geometry
• A representation of solutions of the Helmholtz equation with application to crystal Green’s functions
• Eigenfunctions of the curl operator in spherical coordinates
• Spatially periodic, force-free magnetic fields with resistive decay
• A New Type of Expansion in Radiation Problems
• Induction Effects in Terrestrial Magnetism Part I. Theory

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