Optimal Control of Time-Periodic Navier-Stokes-Voigt Equations

被引：0

作者：

Anh, Cung The ^{[1
]}

Nguyet, Tran Minh ^{[2
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy, Hanoi, Vietnam

[2] Thang Long Univ, Dept Math, Hanoi, Vietnam

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2020年 / 41卷 / 13期

关键词：

Convergence; existence; Navier-Stokes-Voigt equations; optimality conditions; periodic optimal control; semidiscrete-in-time approximations; VELOCITY TRACKING PROBLEM; GLOBAL ATTRACTORS; FLOWS;

D O I：

10.1080/01630563.2020.1786838

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a quadratic optimal control problem for the 3D Navier-Stokes-Voigt equations with periodic inputs. We prove the existence of optimal solutions, then establish necessary and sufficient optimality conditions. We also define semidiscrete-in-time approximations for the optimal control problem and then prove the existence of a subsequence that converges to an optimal solution.

引用

页码：1588 / 1610

页数：23

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