This article is cited in 16 papers

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

A. L. Kazakov^a, P. A. Kuznetsov<sup>b

a</sup> 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.

UDC: 517.95

Received: 16.09.2013

 English version: Journal of Applied and Industrial Mathematics, 2014, 8:2, 227–235

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