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

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Abstract

The article addresses 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 of the existence and uniqueness of an analytic solution to the problem is proved.

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Authors and Affiliations

  1. Institute for System Dynamics and Control Theory, ul. Lermontova 134, Irkutsk, 664033, Russia

    A. L. Kazakov

  2. Irkutsk State University, ul. Karla Marksa 1, Irkutsk, 664003, Russia

    P. A. Kuznetsov

Authors
  1. A. L. Kazakov
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  2. P. A. Kuznetsov
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Correspondence to A. L. Kazakov.

Additional information

Original Russian Text © A.L. Kazakov, P.A. Kuznetsov, 2014, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2014, Vol. XVII, No. 1, pp. 46–54.

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Kazakov, A.L., Kuznetsov, P.A. On one boundary value problem for a nonlinear heat equation in the case of two space variables. J. Appl. Ind. Math. 8, 227–235 (2014). https://doi.org/10.1134/S1990478914020094

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  • DOI: https://doi.org/10.1134/S1990478914020094

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