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Zh. Vychisl. Mat. Mat. Fiz., 2014, Volume 54, Number 4, Pages 711–719 (Mi zvmmf10024)  

This article is cited in 25 scientific papers (total in 25 papers)

Steady-state problem of complex heat transfer

A. E. Kovtanyukab, A. Yu. Chebotarevab

a Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
b Far Eastern Federal University, ul. Sukhanova 8, Vladivostok, 690950, Russia

Abstract: The problem of radiative-conductive-convective heat transfer in a three-dimensional domain is studied. The existence of a weak solution of the problem is proved, and sufficient conditions for the uniqueness of a solution are found. The temperature distribution in a three-dimensional channel is determined in numerical experiments.

Key words: radiative heat transfer equations, diffusion approximation, nonlocal solvability.

DOI: https://doi.org/10.7868/S0044466914040097

Full text: PDF file (289 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2014, 54:4, 719–726

Bibliographic databases:

UDC: 519.634
Received: 26.06.2013
Revised: 24.09.2013

Citation: A. E. Kovtanyuk, A. Yu. Chebotarev, “Steady-state problem of complex heat transfer”, Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014), 711–719; Comput. Math. Math. Phys., 54:4 (2014), 719–726

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    Citing articles on Google Scholar: Russian citations, English citations
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    2. G. V. Grenkin, “Optimalnoe upravlenie v nestatsionarnoi zadache slozhnogo teploobmena”, Dalnevost. matem. zhurn., 14:2 (2014), 160–172  mathnet
    3. G. V. Grenkin, A. Yu. Chebotarev, “A nonstationary problem of complex heat transfer”, Comput. Math. Math. Phys., 54:11 (2014), 1737–1747  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    4. A. Astrakhantseva, A. Kovtanyuk, “Numerical modeling the radiative-convective-conductive heat transfer”, 2014 International Conference on Computer Technologies in Physical and Engineering Applications (Icctpea), ed. E. Veremey, IEEE, 2014, 106+  crossref  isi  scopus
    5. E. Temnenko, G. Grenkin, “Stabilization of complex heat transfer process”, 2014 International Conference on Computer Technologies in Physical and Engineering Applications (Icctpea), ed. E. Veremey, IEEE, 2014, 185–186  crossref  isi  scopus
    6. A. Kovtanyuk, A. Chebotarev, “Optimal control of complex heat transfer”, 2014 International Conference on Computer Technologies in Physical and Engineering Applications (Icctpea), ed. E. Veremey, IEEE, 2014, 221+  crossref  isi  scopus
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    8. R. V. Brizitskii, Zh. Yu. Saritskaya, “Kraevaya i ekstremalnaya zadachi dlya nelineinogo uravneniya konvektsiidiffuziireaktsii”, Sib. elektron. matem. izv., 12 (2015), 447–456  mathnet  crossref
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    15. A. E. Kovtanyuk, A. Yu. Chebotarev, “Nonlocal unique solvability of a steady-state problem of complex heat transfer”, Comput. Math. Math. Phys., 56:5 (2016), 802–809  mathnet  crossref  crossref  isi  elib
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    20. A. A. Amosov, “Unique solvability of a nonstationary problem of radiative-conductive heat exchange in a system of semitransparent bodies”, Russ. J. Math. Phys., 23:3 (2016), 309–334  crossref  mathscinet  zmath  isi  elib  scopus
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