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.

引用

页码：1737 / 1747

页数：11

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