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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2024 Volume 21, Issue 1, Pages 98–104 (Mi semr1671)

This article is cited in 1 paper

Differentical equations, dynamical systems and optimal control

Uniqueness of solution of an inverse problem for a complex heat transfer model

G. V. Grenkin

Vladivostok State University, ul. Gogolya, 41, 690014, Vladivostok, Russia

Abstract: The steady-state complex heat transfer model within the $P_1$-approximation of the radiative transfer equation is considered. An inverse problem of reconstructing heat sources intensities with given volume densities from the prescribed values of functionals of heat sources densities on the temperature field calculated without taking account of radiative effects is investigated. The uniqueness of the inverse problem solution is proved.

Keywords: radiative heat transfer, inverse problem, integral overdetermination.

UDC: 517.95

MSC: 35R30

Received December 27, 2022, published February 14, 2024

DOI: 10.33048/semi.2024.21.008



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