Control of complex heat transfer on producing extremal fields
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 10, pp. 1725-1732
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A time-dependent model of complex heat transfer including the $P_1$ approximation for the equation of radiative transfer is considered. The problem of finding the coefficient in the boundary condition from a given interval, providing the minimum (maximum) temperature and radiation intensity in the entire domain is formulated. The solvability of the control problem is proven, conditions for optimality are obtained, and an iterative algorithm for finding the optimal control is found.
@article{ZVMMF_2016_56_10_a3,
author = {G. V. Grenkin and A. Yu. Chebotarev},
title = {Control of complex heat transfer on producing extremal fields},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1725--1732},
publisher = {mathdoc},
volume = {56},
number = {10},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_10_a3/}
}
TY - JOUR AU - G. V. Grenkin AU - A. Yu. Chebotarev TI - Control of complex heat transfer on producing extremal fields JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 1725 EP - 1732 VL - 56 IS - 10 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_10_a3/ LA - ru ID - ZVMMF_2016_56_10_a3 ER -
%0 Journal Article %A G. V. Grenkin %A A. Yu. Chebotarev %T Control of complex heat transfer on producing extremal fields %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2016 %P 1725-1732 %V 56 %N 10 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_10_a3/ %G ru %F ZVMMF_2016_56_10_a3
G. V. Grenkin; A. Yu. Chebotarev. Control of complex heat transfer on producing extremal fields. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 10, pp. 1725-1732. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_10_a3/