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
收藏
页码：1588 / 1610
页数：23
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