Optimal Control of Time-Periodic Navier-Stokes-Voigt Equations. (2nd October 2020)

• Record Type: Journal Article
• Authors: Anh, Cung The; Nguyet, Tran Minh
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 13(2020)
• Page Start: 1588
• Page End: 1610
• Publication Date: 2020-10-02
• Subjects: Convergence -- existence -- Navier-Stokes-Voigt equations -- optimality conditions -- periodic optimal control -- semidiscrete-in-time approximations; 76D55 -- 35Q35 -- 49J20 -- 49K20; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2020.1786838
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: 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.