On Analytic Solutions of the Problem of Heat Wave Front Movement for the Nonlinear Heat Equation with Source

We continue our investigation of the special boundary-value problems for the nonlinear parabolic heat equation (the porous medium equation) in the article. In the case of a power-law dependence of the heat conductivity coefficient on temperature the equation is used for describing high-temperature p...

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Bibliographic Details
Main Authors: A.L. Kazakov, P.A. Kuznetsov
Format: Article
Language:English
Published: Irkutsk State University 2018-06-01
Series:Известия Иркутского государственного университета: Серия "Математика"
Subjects:
Online Access:http://mathizv.isu.ru/journal/downloadArticle?article=_03edf0b343a54095a0fbf04828f3d7e1&lang=rus