G. V. Grenkin, A. Yu. Chebotarev, “A nonhomogeneous nonstationary complex heat transfer problem”, Sib. Èlektron. Mat. Izv., 2015, Volume 12,Pages <nobr>562

This article is cited in 14 papers

Differentical equations, dynamical systems and optimal control

A nonhomogeneous nonstationary complex heat transfer problem

G. V. Grenkin^a, A. Yu. Chebotarev^b

^a Institute of Applied Mathematics FEB RAS, ul. Radio, 7, 690041, Vladivostok, Russia
^b Far Eastern Federal University, ul. Sukhanova, 8, 690950, Vladivostok, Russia

Abstract: A nonhomogeneous nonstationary problem of radiative-conductive-convective heat tranfer in a three-dimensional domain is investigated in the framework of the diffusion $P_1$-approximation of the radiative heat transfer equation. The unique solvability of the problem is proved.

Keywords: radiative heat transfer, diffusion approximation, unique solvability.

UDC: 517.95

MSC: 35K55

Received July 27, 2015, published September 18, 2015

DOI: 10.17377/semi.2015.12.046