Email this article Control of complex heat transfer on producing extremal fields
- Authors: Grenkin G.V.1, Chebotarev A.Y.2
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Affiliations:
- Institute of Applied Mathematics, Far Eastern Branch
- Far Eastern Federal University
- Issue: Vol 56, No 10 (2016)
- Pages: 1708-1715
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/178698
- DOI: https://doi.org/10.1134/S0965542516100092
- ID: 178698
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Abstract
A time-dependent model of complex heat transfer including the P1 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.
About the authors
G. V. Grenkin
Institute of Applied Mathematics, Far Eastern Branch
Author for correspondence.
Email: glebgrenkin@gmail.com
Russian Federation, Vladivostok, 690041
A. Yu. Chebotarev
Far Eastern Federal University
Email: glebgrenkin@gmail.com
Russian Federation, Vladivostok, 690950
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