Nonlocal unique solvability of a steady-state problem of complex heat transfer


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Abstract

A boundary value problem of radiative–conductive–convective heat transfer in a threedimensional domain is proved to be uniquely solvable. An iterative algorithm is proposed for finding its solution.

About the authors

A. E. Kovtanyuk

Institute for Applied Mathematics, Far East Branch

Author for correspondence.
Email: kovtanyuk.ae@dvfu.ru
Russian Federation, ul. Radio 7, Vladivostok, 690041

A. Yu. Chebotarev

Far Eastern Federal University

Author for correspondence.
Email: cheb@iam.dvo.ru
Russian Federation, ul. Sukhanova 8, Vladivostok, 690950

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