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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
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.
Received: 28.04.2015 Revised: 02.07.2015
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
Linking options:
https://www.mathnet.ru/eng/tmf8956https://doi.org/10.4213/tmf8956 https://www.mathnet.ru/eng/tmf/v187/i1/p88
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