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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 1, Pages 46–54
(Mi sjim818)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/sjim818 https://www.mathnet.ru/eng/sjim/v17/i1/p46
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Statistics & downloads: |
Abstract page: | 380 | Full-text PDF : | 104 | References: | 64 | First page: | 23 |
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