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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 1, Pages 46–54 (Mi sjim818)  
This article is cited in 17 scientific papers (total in 17 papers)

On a boundary value problem for a nonlinear heat equation in the case of two space variables

A. L. Kazakova, P. A. Kuznetsovb

a Institute for System Dynamics and Control Theory, 134 Lermontov st., 664033 Irkutsk
b Irkutsk State University, 1 Marx st., 664003 Irkutsk
Full-text PDF (229 kB) Citations (17)
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Abstract: The article deals with a boundary value problem with degeneration for a nonlinear heat equation in the case of two space variables. Solving this problem makes it possible to study heat conduction in a neighborhood of a closed cylindrical surface. The theorem is proved of the existence and uniqueness of an analytic solution to the problem.
Keywords: nonlinear heat equation, boundary value problem, analytic solution.
Received: 16.09.2013
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 2, Pages 227–235
DOI: https://doi.org/10.1134/S1990478914020094
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. L. Kazakov, P. A. Kuznetsov, “On a boundary value problem for a nonlinear heat equation in the case of two space variables”, Sib. Zh. Ind. Mat., 17:1 (2014), 46–54; J. Appl. Industr. Math., 8:2 (2014), 227–235
Citation in format AMSBIB
\Bibitem{KazKuz14}
\by A.~L.~Kazakov, P.~A.~Kuznetsov
\paper On a~boundary value problem for a~nonlinear heat equation in the case of two space variables
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 1
\pages 46--54
\mathnet{http://mi.mathnet.ru/sjim818}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3379253}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 2
\pages 227--235
\crossref{https://doi.org/10.1134/S1990478914020094}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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