Multiplicative Control Problems for Nonlinear Reaction-Diffusion-Convection Model

被引：15

作者：

Brizitskii, R. V. ^{[1
,2
]}

Saritskaia, Zh. Yu. ^{[1
]}

机构：

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

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

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2021年 / 27卷 / 02期

关键词：

Nonlinear reaction-diffusion-convection model; Generalized Oberbeck-Boussinesq model; Multiplicative control problem; Optimality system; Local stability estimates; OPTIMAL BOUNDARY CONTROL; EXTREMUM PROBLEMS; REACTION EQUATION; THERMAL CLOAKING; COEFFICIENT; HEAT; STABILITY;

D O I：

10.1007/s10883-020-09508-z

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Global solvability of a boundary value problem for a generalized Boussinesq model is proved in the case, when reaction coefficient depends nonlinearly on concentration of substance. Maximum principle is stated for substance's concentration. Solvability of control problem is proved, when the role of controls is played by diffusion and mass exchange coefficients from the equations and from the boundary conditions of the model. For a considered multiplicative control problem, optimality systems are obtained. On the base of the analysis of these systems for particular reaction coefficients and cost functionals, local stability estimates are deduced for optimal solutions.

引用

页码：379 / 402

页数：24

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