Email this article Inverse Problem for Equations of Complex Heat Transfer
- Authors: Grenkin G.V.1,2, Chebotarev A.Y.1,2
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Affiliations:
- Far Eastern Federal University
- Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
- Issue: Vol 59, No 8 (2019)
- Pages: 1361-1371
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180763
- DOI: https://doi.org/10.1134/S0965542519080086
- ID: 180763
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Abstract
The inverse problem with integral overdetermination for the equations of complex heat transfer, including the \({{P}_{1}}\) approximation for the stationary radiative transfer equation, is considered. Sufficient conditions for nonlocal unique solvability of the inverse problem are found. The theoretical analysis is illustrated by numerical examples.
About the authors
G. V. Grenkin
Far Eastern Federal University; Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
Email: chebotarev.ayu@dvfu.ru
Russian Federation, Vladivostok, 690950; Vladivostok, 690041
A. Yu. Chebotarev
Far Eastern Federal University; Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
Author for correspondence.
Email: chebotarev.ayu@dvfu.ru
Russian Federation, Vladivostok, 690950; Vladivostok, 690041
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