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Sibirskii Zhurnal Industrial'noi Matematiki, 2015, Volume 18, Number 1, Pages 69–83
DOI: https://doi.org/10.17377/sibjim.2015.18.106 (Mi sjim872) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Constructing solutions to systems of nonlinear equations for magnetic insulation modelling

A. A. Kosova, E. I. Semenova, A. V. Sinitsynb

a Institute for System Dynamics and Control Theory SB RAS, 134 Lermontov st., 664033 Irkutsk
b Universidad Nacional de Colombia, 45 Carrera, Bogota, Colombia
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DOI: https://doi.org/10.17377/sibjim.2015.18.106
Abstract: We consider a model of magnetic insulation in a plane diode which is presented as a system of two nonlinear second-order ODE. Integrability of the model is justified and a method for solving a singular boundary value problem is developed. We propose a generalized model of magnetic insulation with multidimensional Laplace operator, which is the principal object of study in this paper. We obtain conditions under which exact solutions to the boundary value problem for a spherical layer are found.
Keywords: singular boundary value problem, integrability, elliptic type equation, exact solution.
Received: 11.08.2014
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 2, Pages 227–240
DOI: https://doi.org/10.1134/S1990478915020088
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. A. Kosov, E. I. Semenov, A. V. Sinitsyn, “Constructing solutions to systems of nonlinear equations for magnetic insulation modelling”, Sib. Zh. Ind. Mat., 18:1 (2015), 69–83; J. Appl. Industr. Math., 9:2 (2015), 227–240
Citation in format AMSBIB
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\by A.~A.~Kosov, E.~I.~Semenov, A.~V.~Sinitsyn
\paper Constructing solutions to systems of nonlinear equations for magnetic insulation modelling
\jour Sib. Zh. Ind. Mat.
\yr 2015
\vol 18
\issue 1
\pages 69--83
\mathnet{http://mi.mathnet.ru/sjim872}
\crossref{https://doi.org/10.17377/sibjim.2015.18.106}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3549818}
\elib{https://elibrary.ru/item.asp?id=23004806}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 2
\pages 227--240
\crossref{https://doi.org/10.1134/S1990478915020088}
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    • This publication is cited in the following 1 articles:
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