Finding the source intensity in the radiative heat transfer model by
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
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.
quasi-static equations of radiative heat transfer, inverse problem, non-local unique solvability, numerical simulationq.
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MSC: Primary 35J61; Secondary 35Q79
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
\by A.~Yu.~Chebotarev, G.~V.~Grenkin
\paper Finding the source intensity in the radiative heat transfer model by
\jour Dal'nevost. Mat. Zh.
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