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Eurasian Mathematical Journal, 2020, Volume 11, Number 3, Pages 89–94
DOI: https://doi.org/10.32523/2077-9879-2020-11-3-89-94 (Mi emj377) 		 
This article is cited in 8 scientific papers (total in 8 papers)

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On the solution to a two-dimensional heat conduction problem in a degenerate domain

M. T. Jenaliyeva, M. I. Ramazanovb, M. T. Kosmakovab, Zh. M. Tuleutaevab

a Institute of Mathematics and Mathematical Modeling, 125 Pushkin St, 050010 Almaty, Kazakhstan
b Buketov Karaganda State University, 28 Universitetskaya St, 100028 Karaganda, Kazakhstan
Full-text PDF (381 kB) Citations (8)
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DOI: https://doi.org/10.32523/2077-9879-2020-11-3-89-94
Abstract: In a degenerate domain, namely, the inverted cone, we consider a boundary value problem of heat conduction. For this problem the solvability theorems are established in weighted spaces of essentially bounded functions. The proofs of the theorems are based on the results of the solvability for a nonhomogeneous integral equation of the third kind. The problem under study is reduced to the study of this integral equation using the representation of the solution to the boundary value problem in the form of a sum of constructed thermal potentials.
Keywords and phrases: fundamental solution, axial symmetry, modified Bessel function.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05132262
AP05130928
This work was supported by the Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan (grants no. AP05132262 and AP05130928).
Received: 12.12.2019
Bibliographic databases:
Document Type: Article
MSC: 35K05, 35K20
Language: English
Citation: M. T. Jenaliyev, M. I. Ramazanov, M. T. Kosmakova, Zh. M. Tuleutaeva, “On the solution to a two-dimensional heat conduction problem in a degenerate domain”, Eurasian Math. J., 11:3 (2020), 89–94
Citation in format AMSBIB
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\paper On the solution to a two-dimensional heat conduction problem in a degenerate domain
\jour Eurasian Math. J.
\yr 2020
\vol 11
\issue 3
\pages 89--94
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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