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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2024 Volume 24, Number 2, Pages 170–177 (Mi dvmg541)

Identification of heat sources in a complex heat transfer model

G. V. Grenkin

Vladivostok State University

Abstract: The problem of recovering the intensities of heat sources with given volume densities and known values of average temperature is considered within the complex heat transfer model. An algorithm for the numerical solution of this problem is proposed. The conditions for the uniqueness of the solution are obtained.

Key words: radiative heat transfer, inverse problem, integral overdetermination.

UDC: 517.95

MSC: Primary 35J60; Secondary 80A23

Received: 06.04.2024
Accepted: 18.11.2024

DOI: 10.47910/FEMJ202415



© Steklov Math. Inst. of RAS, 2026