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Matematicheskie Zametki, 2006, Volume 80, Issue 3, Pages 379–385
DOI: https://doi.org/10.4213/mzm2823 (Mi mzm2823) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Heat Distribution in an Infinite Rod

S. V. Zakharov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (380 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm2823
Abstract: We construct an asymptotic expansion of the solution of the Cauchy problem for the one-dimensional heat equation for the case in which the initial function at infinity has power asymptotics.
Keywords: heat equation, Cauchy problem for the heat equation, heat distribution in an infinite rod, uniform asymptotics, Hermite function.
Received: 29.12.2005
English version:
Mathematical Notes, 2006, Volume 80, Issue 3, Pages 366–371
DOI: https://doi.org/10.1007/s11006-006-0148-x
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: S. V. Zakharov, “Heat Distribution in an Infinite Rod”, Mat. Zametki, 80:3 (2006), 379–385; Math. Notes, 80:3 (2006), 366–371
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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