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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 1, Pages 268–272 (Mi timm795)  
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotics of a solution to the heat equation with a singularity at the boundary

I. V. Pershin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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Abstract: The third boundary value problem for a second-order parabolic equation in a half-space with singularity is considered. The singularity consists in the presence of a moving band heat source with delta-like source intensity function at the boundary of the domain. An exact analytic solution of the problem is found, and the behavior of this solution in a neighborhood of the singularity is investigated.
Keywords: boundary value problems for partial differential equations, asymptotics of a solution.
Received: 02.09.2011
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: I. V. Pershin, “Asymptotics of a solution to the heat equation with a singularity at the boundary”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 1, 2012, 268–272
Citation in format AMSBIB
\Bibitem{Per12}
\by I.~V.~Pershin
\paper Asymptotics of a~solution to the heat equation with a~singularity at the boundary
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 1
\pages 268--272
\mathnet{http://mi.mathnet.ru/timm795}
\elib{https://elibrary.ru/item.asp?id=17358694}
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  • https://www.mathnet.ru/eng/timm/v18/i1/p268
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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