Problem of radiation heat exchange with boundary conditions of the Cauchy type

被引：18

作者：

Chebotarev, Alexander Yu ^{[1
,2
]}

Koytanyuk, Andrey E. ^{[1
,3
]}

Botkin, Nikolai D. ^{[4
]}

机构：

[1] Inst Appl Math FEB RAS, Radio St 7, Vladivostok 690041, Russia

[2] Far Eastern Fed Univ, Sukhanova St 8, Vladivostok 690950, Russia

[3] Tech Univ Munich, Klinikum Rechts Isar, Ismaningerstr 22, D-81675 Munich, Germany

[4] Tech Univ Munich, Fak Math, Boltzmannstr 3, D-85747 Garching, Germany

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 75卷

关键词：

Radiative-conductive heat exchange; Diffusion approximation; Nonlocal solvability; STATE;

D O I：

10.1016/j.cnsns.2019.01.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a quasi-static problem of radiative-conductive heat exchange in a three-dimensional domain is considered in the framework of diffusion P-1 approximation of the radiation transfer equation. The peculiarity of the problem statement is that the boundary values for the radiation intensity are not prescribed. Instead of that, the heat flux is additionally prescribed for the temperature field on the boundary. The unique, nonlocal in time, solvability of the problem is proven. Theoretical results are illustrated by numerical examples. (C) 2019 Published by Elsevier B.V.

引用

页码：262 / 269

页数：8

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