Geodesic
Control of complex heat transfer on producing extremal fields
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 10, pp. 1725-1732 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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