Coefficient inverse extremum problems for stationary heat and mass transfer equations

被引：22

作者：

Alekseev G.V. ^{[1
]}

机构：

[1] Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, Vladivostok, 690041

来源：

Computational Mathematics and Mathematical Physics | 2007年 / 47卷 / 6期

基金：

俄罗斯基础研究基金会;

关键词：

Boundary value problem; Heat and mass transfer; Identification problems; Optimality systems; Solvability; Stability; Uniqueness; Viscous heat-conducting fluid;

D O I：

10.1134/S0965542507060115

中图分类号：

学科分类号：

摘要：

A technique is developed for analyzing coefficient inverse extremum problems for a stationary model of heat and mass transfer. The model consists of the Navier-Stokes equations and the convection-diffusion equations for temperature and the pollutant concentration that are nonlinearly related via buoyancy in the Boussinesq approximation and via convective heat and mass transfer. The inverse problems are stated as the minimization of certain cost functionals at weak solutions to the original boundary value problem. Their solvability is proved, and optimality systems describing the necessary optimality conditions are derived. An analysis of the latter is used to establish sufficient conditions ensuring the local uniqueness and stability of solutions to the inverse extremum problems for particular cost functionals. © Nauka/Interperiodica 2007.

引用

页码：1007 / 1028

页数：21

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