On a Three-Dimensional Heat Wave Generated by Boundary Condition Specified on a Time-Dependent Manifold

The article is devoted to study the nonlinear heat equation (the porous medium equation) in the case of power nonlinearity. Three–dimensional problem of the initiation of a heat wave by boundary condition specified on a time–dependent manifold is considered. The wave has a finite velocity of propaga...

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Bibliographic Details
Main Authors: A. Kazakov, P. Kuznetsov, L.F. Spevak
Format: Article
Language:English
Published: Irkutsk State University 2018-12-01
Series:Известия Иркутского государственного университета: Серия "Математика"
Subjects:
Online Access:http://mathizv.isu.ru/en/article/file?id=1279