Inverse Problem for Equations of Complex Heat Transfer

被引：10

作者：

Grenkin, G., V ^{[1
,2
]}

Chebotarev, A. Yu ^{[1
,2
]}

机构：

[1] Far Eastern Fed Univ, Vladivostok 690950, Russia

[2] Russian Acad Sci, Far Eastern Branch, Inst Appl Math, Vladivostok 690041, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2019年 / 59卷 / 08期

关键词：

quasi-stationary equations of radiative heat transfer; inverse problem; nonlocal unique solvability; numerical modeling; STEADY-STATE PROBLEM; OPTIMAL BOUNDARY CONTROL; NONSTATIONARY PROBLEM; UNIQUE SOLVABILITY; FREE-CONVECTION; SYSTEM; MODEL;

D O I：

10.1134/S0965542519080086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse problem with integral overdetermination for the equations of complex heat transfer, including the P-1 approximation for the stationary radiative transfer equation, is considered. Sufficient conditions for nonlocal unique solvability of the inverse problem are found. The theoretical analysis is illustrated by numerical examples.

引用

页码：1361 / 1371

页数：11

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