Optimal Boundary Control of the Boussinesq Approximation for Polymeric Fluids

被引：29

作者：

Baranovskii, Evgenii S. ^{[1
]}

机构：

[1] Voronezh State Univ, Voronezh, Russia

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2021年 / 189卷 / 02期

关键词：

Optimal control; Boundary control; Marginal function; Non-isothermal flows; Aqueous polymer solutions; Boussinesq equations; NAVIER-STOKES; EXACT CONTROLLABILITY; SOLVABILITY; MODEL; FLOW;

D O I：

10.1007/s10957-021-01849-4

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We consider an optimal control problem for non-isothermal steady flows of low-concentrated aqueous polymer solutions in a bounded 3D domain. In this problem, the state functions are the flow velocity and the temperature, while the control function is the heat flux through a given part of the boundary of the flow domain. We obtain sufficient conditions for the existence of weak solutions that minimize a cost functional under a given bounded set of admissible controls. It is shown that the marginal function of the considered control system is lower semi-continuous and the optimal states operator generates a continuous branch in a suitable function space.

引用

页码：623 / 645

页数：23

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