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Matematicheskie Zametki, 2023, Volume 113, Issue 1, Pages 90–108
DOI: https://doi.org/10.4213/mzm13573 (Mi mzm13573) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Determination of the Heat Transfer Coefficient in Mathematical Models of Heat and Mass Transfer

S. G. Pyatkov, V. A. Baranchuk

Yugra State University, Khanty-Mansiysk
Full-text PDF (619 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm13573
Abstract: We study the Sobolev space well-posedness of inverse problems of determining the heat transfer coefficient contained in a Robin-type boundary condition for the convection-diffusion equations. We prove an existence and uniqueness theorem for the solutions.
Keywords: inverse problem, heat transfer coefficient, parabolic equation, heat and mass transfer, diffusion.
Funding agency Grant number
Russian Science Foundation 22-11-20031
This work was supported by the Russian Science Foundation and the Government of the Khanty-Mansiysk Autonomous Okrug-YUGRA under grant no. 22-11-20031.
Received: 03.05.2022
English version:
Mathematical Notes, 2023, Volume 113, Issue 1, Pages 93–108
DOI: https://doi.org/10.1134/S0001434623010108
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: S. G. Pyatkov, V. A. Baranchuk, “Determination of the Heat Transfer Coefficient in Mathematical Models of Heat and Mass Transfer”, Mat. Zametki, 113:1 (2023), 90–108; Math. Notes, 113:1 (2023), 93–108
Citation in format AMSBIB
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\by S.~G.~Pyatkov, V.~A.~Baranchuk
\paper Determination of the Heat Transfer Coefficient in Mathematical Models of Heat and Mass Transfer
\jour Mat. Zametki
\yr 2023
\vol 113
\issue 1
\pages 90--108
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\crossref{https://doi.org/10.4213/mzm13573}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4563351}
\transl
\jour Math. Notes
\yr 2023
\vol 113
\issue 1
\pages 93--108
\crossref{https://doi.org/10.1134/S0001434623010108}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85149995814}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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