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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 1, Pages 93–99 (Mi timm1263)  
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic calculation of the heat distribution on a plane

S. V. Zakharov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (129 kB) Citations (2)
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Abstract: For the heat equation on a plane an asymptotic approximation of the solution of the Cauchy problem for large times is constructed in the case when the initial function at infinity has a power-like asymptotics. Investigation of the asymptotic behavior of the solution of the problem under consideration in addition to direct application to processes of heat conduction and diffusion has an independent interest for asymptotic analysis.
Keywords: heat equation, Cauchy problem, asymptotics.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00322
Received: 20.04.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2017, Volume 296, Issue 1, Pages S243–S249
DOI: https://doi.org/10.1134/S0081543817020237
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: S. V. Zakharov, “Asymptotic calculation of the heat distribution on a plane”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 93–99; Proc. Steklov Inst. Math., 296, suppl. 1 (2017), S243–S249
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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