The Biot-Savart operator and electrodynamics on subdomains of the three-sphere
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Publication:2853650
DOI10.1063/1.3673788zbMath1273.78004arXiv0904.3524OpenAlexW3099487078WikidataQ125578302 ScholiaQ125578302MaRDI QIDQ2853650
Publication date: 16 October 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.3524
Integral operators (47G10) Electromagnetic theory (general) (78A25) Electro- and magnetostatics (78A30) Variational principles of physics (49S05) Inverse problems for integral equations (45Q05)
Related Items (4)
Electrodynamics and the Gauss linking integral on the 3-sphere and in hyperbolic 3-space ⋮ The Biot-Savart operator of a bounded domain ⋮ Trkalian fields and Radon transformation ⋮ MICROSCOPIC FOUNDATIONS OF THE MEIßNER EFFECT: THERMODYNAMIC ASPECTS
Cites Work
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- A new cohomological formula for helicity in \(\mathbb R^{2k+1}\) reveals the effect of a diffeomorphism on helicity
- Hodge decomposition. A method for solving boundary value problems
- The method of orthogonal projection in potential theory
- Harmonic fields in Riemannian manifolds (Generalized potential theory)
- The Biot–Savart operator for application to knot theory, fluid dynamics, and plasma physics
- Differential forms on riemannian manifolds
- A Variational Method in the Theory of Harmonic Integrals, II
- A THEOREM ON FORCE-FREE MAGNETIC FIELDS
- Electrodynamics and the Gauss linking integral on the 3-sphere and in hyperbolic 3-space
- Helicity and the Călugăreanu invariant
- Vector Calculus and the Topology of Domains in 3-Space
- A Dirichlet Problem for Harmonic Functionals, with Applications to Analytic Varities
- The degree of knottedness of tangled vortex lines
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