Geodesic
Uniqueness of solution of an inverse problem for a complex heat transfer model
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 1, pp. 98-104

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The steady-state complex heat transfer model within the $P_1$-approximation of the radiative transfer equation is considered. An inverse problem of reconstructing heat sources intensities with given volume densities from the prescribed values of functionals of heat sources densities on the temperature field calculated without taking account of radiative effects is investigated. The uniqueness of the inverse problem solution is proved.
Keywords: radiative heat transfer, inverse problem, integral overdetermination. 
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     author = {G. V. Grenkin},
     title = {Uniqueness of solution of an inverse problem for a complex heat transfer model},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {98--104},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2024_21_1_a24/}
}
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G. V. Grenkin. Uniqueness of solution of an inverse problem for a complex heat transfer model. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 1, pp. 98-104. http://geodesic.mathdoc.fr/item/SEMR_2024_21_1_a24/