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Valli, Alberto (2019) A variational interpretation of the Biot–Savart operator and the helicity of a bounded domain. Journal of Mathematical Physics, 60. 21503pp. doi:10.1063/1.5024197

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Reference TypeJournal (article/letter/editorial)
TitleA variational interpretation of the Biot–Savart operator and the helicity of a bounded domain
JournalJournal of Mathematical Physics
AuthorsValli, AlbertoAuthor
Year2019 (February)Volume60
PublisherAIP Publishing
DOIdoi:10.1063/1.5024197Search in ResearchGate
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Mindat Ref. ID5772232Long-form Identifiermindat:1:5:5772232:2
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Full ReferenceValli, Alberto (2019) A variational interpretation of the Biot–Savart operator and the helicity of a bounded domain. Journal of Mathematical Physics, 60. 21503pp. doi:10.1063/1.5024197
Plain TextValli, Alberto (2019) A variational interpretation of the Biot–Savart operator and the helicity of a bounded domain. Journal of Mathematical Physics, 60. 21503pp. doi:10.1063/1.5024197
In(n.d.) Journal of Mathematical Physics Vol. 60. AIP Publishing

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Sahihi, Taliya, Eshraghi, Homayoon (2014) Biot-Savart helicity versus physical helicity: A topological description of ideal flows. Journal of Mathematical Physics, 55. 83101pp. doi:10.1063/1.4889935
Parsley, Jason (2012) The Biot-Savart operator and electrodynamics on subdomains of the three-sphere. Journal of Mathematical Physics, 53. 13102pp. doi:10.1063/1.3673788
Cantarella, Jason, DeTurck, Dennis, Gluck, Herman (2001) The Biot–Savart operator for application to knot theory, fluid dynamics, and plasma physics. Journal of Mathematical Physics, 42. 876pp. doi:10.1063/1.1329659
Cantarella, Jason, DeTurck, Dennis, Gluck, Herman, Teytel, Mikhail (2000) Isoperimetric problems for the helicity of vector fields and the Biot–Savart and curl operators. Journal of Mathematical Physics, 41. 5615-5641 doi:10.1063/1.533429
Bechtluft-Sachs, Stefan, Samiou, Evangelia (2019) Green’s functions, Biot-Savart operators, and linking numbers on negatively curved symmetric spaces. Journal of Mathematical Physics, 60. 111503pp. doi:10.1063/1.5109244
Balondo Iyela, Daddy, Govaerts, Jan (2019) Nonlocal global symmetries of a free scalar field in a bounded spatial domain. Journal of Mathematical Physics, 60. 92302pp. doi:10.1063/1.5115308
MacTaggart, David, Valli, Alberto (2023) Relative magnetic helicity in multiply connected domains. Journal of Physics A: Mathematical and Theoretical, 56 (43) 435701 doi:10.1088/1751-8121/acfd6c
Wang, Qin, Song, Kyungwoo (2016) Energy conservative solutions to the system of full variational sine-Gordon equations in a unit sphere. Journal of Mathematical Physics, 57. 21503pp. doi:10.1063/1.4939957
Kröger, R., Unbehauen, R., Griffiths, David J., Heald, Mark A. (1992) Time‐dependent generalizations of the Biot–Savart and Coulomb laws. American Journal of Physics, 60. 393-394 doi:10.1119/1.16888
Christodoulides, C (1987) Equivalence of the Ampere and Biot-Savart force laws in magnetostatics. Journal of Physics A: Mathematical and General, 20. 2037-2042 doi:10.1088/0305-4470/20/8/022
Hey, J D (2021) On the Biot–Savart law of electromagnetism applied to the atomic circulation current *. Journal of Physics A: Mathematical and Theoretical, 54 (16) 165302pp. doi:10.1088/1751-8121/abe832
 
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