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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.

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Authors and Affiliations

  1. Institute for Applied Mathematics, Far East Branch, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia

    A. E. Kovtanyuk

  2. Far Eastern Federal University, ul. Sukhanova 8, Vladivostok, 690950, Russia

    A. Yu. Chebotarev

Authors
  1. A. E. Kovtanyuk
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  2. A. Yu. Chebotarev
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Correspondence to A. E. Kovtanyuk or A. Yu. Chebotarev.

Additional information

Original Russian Text © A.E. Kovtanyuk, A.Yu. Chebotarev, 2016, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2016, Vol. 56, No. 5, pp. 816–823.

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Kovtanyuk, A.E., Chebotarev, A.Y. Nonlocal unique solvability of a steady-state problem of complex heat transfer. Comput. Math. and Math. Phys. 56, 802–809 (2016). https://doi.org/10.1134/S0965542516050110

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  • DOI: https://doi.org/10.1134/S0965542516050110

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