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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2020 Volume 20, Number 1, Pages 108–113 (Mi dvmg424)

This article is cited in 1 paper

Inhomogeneous boundary-value problem of radiation heat transfer for a multicomponent medium

A. Yu. Chebotarev

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok

Abstract: An analysis of the solvability of an inhomogeneous boundary value problem for the equations of radiative heat transfer with the Fresnel conjugation conditions is presented. The nonlocal unique solvability of the boundary value problem is proved.

Key words: stationary equations of radiative heat transfer, Fresnel conjugation conditions, inhomogeneous boundary value problem, nonlocal solvability.

UDC: 517.95

MSC: Primary 35J61; Secondary 35Q79

Received: 11.05.2020

DOI: 10.47910/FEMJ202011



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