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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 187, Number 1, Pages 88–103
DOI: https://doi.org/10.4213/tmf8956 (Mi tmf8956) 		 
This article is cited in 6 scientific papers (total in 6 papers)

One approach to solving the basic equation of magnetostatics in the case of nonhomogeneous magnets

V. V. Dyakina, O. V. Kudryashovaab, V. Ya. Raevskiia

a Institute of Metal Physics, Ural Branch, RAS, Ekaterinburg, Russia
b Yeltsin Ural Federal University, Ekaterinburg, Russia
Full-text PDF (419 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf8956
Abstract: We propose a general approach for solving the basic magnetostatic equation in the case of nonhomogeneous magnetic solids when their magnetic permeability depends on the coordinates. Seeking the strength of the resulting field reduces to finding two scalar functions satisfying a system of one integral and one differential equation with certain boundary conditions. Using this approach, we obtain an analytic solution of the magnetostatic equation for a ball with a model permeability in an arbitrary external field.
Keywords: integro-differential magnetostatic equation, spherical function, Weyl decomposition.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 15-17-2-54
This research was supported by a program of the Presidium of the Russian Academy of Sciences (Project No. 15-17-2-54).
Received: 28.04.2015
Revised: 02.07.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 187, Issue 1, Pages 525–538
DOI: https://doi.org/10.1134/S0040577916040073
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Dyakin, O. V. Kudryashova, V. Ya. Raevskii, “One approach to solving the basic equation of magnetostatics in the case of nonhomogeneous magnets”, TMF, 187:1 (2016), 88–103; Theoret. and Math. Phys., 187:1 (2016), 525–538
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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