A nonstationary problem of complex heat transfer

被引：21
|
作者：
Grenkin, G. V. [1 ]
Chebotarev, A. Yu. [2 ]
机构：
[1] Russian Acad Sci, Inst Appl Math, Far Eastern Branch, Vladivostok 690041, Russia
[2] Far Eastern Fed Univ, Vladivostok 690950, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2014年 / 54卷 / 11期
关键词：
radiative heat transfer equations; diffusion approximation; nonlocal solvability; asymptotic stability; RADIATION; EQUATIONS; SOLVABILITY;
D O I：
10.1134/S0965542514110062
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A nonstationary problem of radiative-convective heat transfer in a three-dimensional region is studied in the framework of the diffusion P (1)-approximation of the radiative heat transfer equation. The problem is proved to be uniquely solvable nonlocally in time, and a stationary equilibrium state is shown to be asymptotically stable.
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页码：1737 / 1747
页数：11
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