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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2024 Volume 24, Number 2, Pages 252–258 (Mi dvmg548)

Solvability of frequency-dependent model of the complex heat transfer

A. A. Pishchikov

Far Eastern Center of Mathematical Research, Far Eastern Federal University, Vladivostok

Abstract: A stationary frequency-dependent model of the complex heat transfer is considered. Sufficient conditions for the existence of a weak solution to the posed boundary value problem are found.

Key words: stationary diffusion-reaction models, weak solution, radiative heat transfer equations, non-local solvability.

UDC: 517.95

MSC: Primary 35J61; Secondary 35Q79

Received: 04.10.2024
Accepted: 18.11.2024

DOI: 10.47910/FEMJ202422



© Steklov Math. Inst. of RAS, 2026