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Dal'nevost. Mat. Zh., 2019, Volume 19, Number 1, Pages 88–95 (Mi dvmg399)  

Finding the source intensity in the radiative heat transfer model by integral overdetermination

A. Yu. Chebotarevab, G. V. Grenkinab

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok

Abstract: The quasi-static problem of radiation-diffusion heat transfer in three-dimensional domain is considered. It is required to find the intensity of thermal sources and the corresponding temperature and radiation fields according to the additional integral condition. Sufficient conditions for non-local unique solvability of the inverse problem are found. The theoretical analysis is illustrated by numerical examples.

Key words: quasi-static equations of radiative heat transfer, inverse problem, non-local unique solvability, numerical simulationq.

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations


Full text: PDF file (524 kB)
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UDC: 517.95
MSC: Primary 35J61; Secondary 35Q79
Received: 22.02.2019

Citation: A. Yu. Chebotarev, G. V. Grenkin, “Finding the source intensity in the radiative heat transfer model by integral overdetermination”, Dal'nevost. Mat. Zh., 19:1 (2019), 88–95

Citation in format AMSBIB
\Bibitem{CheGre19}
\by A.~Yu.~Chebotarev, G.~V.~Grenkin
\paper Finding the source intensity in the radiative heat transfer model by
integral overdetermination
\jour Dal'nevost. Mat. Zh.
\yr 2019
\vol 19
\issue 1
\pages 88--95
\mathnet{http://mi.mathnet.ru/dvmg399}


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