RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Dal'nevost. Mat. Zh.: Year: Volume: Issue: Page: Find

 Dal'nevost. Mat. Zh., 2019, Volume 19, Number 1, Pages 119–124 (Mi dvmg403)

The problem of radiative heat transfer without boundary conditions for the intensity of radiation

A. Yu. Chebotarevab, A. G. Kolobova, T. V. Paka

a Far Eastern Federal University, Vladivostok
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok

Abstract: The stationary problem of radiation-diffusion heat transfer in three-\linebreak dimensional domain within the $P_1$ - approximations of the radiation transfer equation is considered. The boundary conditions for the intensity of radiation are not specified, but there is an additional boundary condition for the temperature field. The non-local solvability of the problem is established and it is shown that the set of solutions is homeomorphic to a finite-dimensional compact. Submitted condition uniqueness of the solution. The conditions for the uniqueness of the solution are presented.

Key words: radiation heat transfer, diffusion approximation, non-local solvability.

 Funding Agency Grant Number Russian Academy of Sciences - Federal Agency for Scientific Organizations

Full text: PDF file (476 kB)
References: PDF file   HTML file
UDC: 517.95
MSC: Primary 35J61; Secondary 35Q79

Citation: A. Yu. Chebotarev, A. G. Kolobov, T. V. Pak, “The problem of radiative heat transfer without boundary conditions for the intensity of radiation”, Dal'nevost. Mat. Zh., 19:1 (2019), 119–124

Citation in format AMSBIB
\Bibitem{CheKolPak19} \by A.~Yu.~Chebotarev, A.~G.~Kolobov, T.~V.~Pak \paper The problem of radiative heat transfer without boundary conditions for the intensity of radiation \jour Dal'nevost. Mat. Zh. \yr 2019 \vol 19 \issue 1 \pages 119--124 \mathnet{http://mi.mathnet.ru/dvmg403}