MULTIPLICATIVE CONTROL PROBLEMS FOR NONLINEAR CONVECTION- DIFFUSION-REACTION EQUATION

被引：10
|
作者：
Brizitskii, R., V [1 ,2 ]
Saritskaya, Zh. Yu [2 ]
Byrganov, A., I [2 ]
机构：
[1] RAS, Inst Appl Math FEB, St Radio 7, Vladivostok 690041, Russia
[2] Far Eastern Fed Univ, St Sukhanova 8, Vladivostok 690950, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2016年 / 13卷
关键词：
convection-diffusion-reaction equation; multiplicative control problems; optimality system; local uniqueness;
D O I：
10.17377/semi.2016.13.030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Control problem for convection-diffusion-reaction equation, in which reaction coefficient depends nonlinearly on substance's concentration, is considered. Velocity vector, multiplicatively entered into the considered equation, is chosen as a control function. Extremum problem's solvability for reaction coefficient of common type is proved. Optimality system for quadratic reaction coefficient is obtained and on its basis local uniqueness of control problem's solutions for particular cost functionals is proved.
引用
收藏
页码：352 / 360
页数：9
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