Finding the source intensity in the radiative heat transfer model by
Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 88-95
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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.
@article{DVMG_2019_19_1_a10,
author = {A. Yu. Chebotarev and G. V. Grenkin},
title = {Finding the source intensity in the radiative heat transfer model by},
journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
pages = {88--95},
publisher = {mathdoc},
volume = {19},
number = {1},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a10/}
}
TY - JOUR AU - A. Yu. Chebotarev AU - G. V. Grenkin TI - Finding the source intensity in the radiative heat transfer model by JO - Dalʹnevostočnyj matematičeskij žurnal PY - 2019 SP - 88 EP - 95 VL - 19 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a10/ LA - ru ID - DVMG_2019_19_1_a10 ER -
A. Yu. Chebotarev; G. V. Grenkin. Finding the source intensity in the radiative heat transfer model by. Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 88-95. http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a10/