Optimal Control of the Instationary Three Dimensional Navier-Stokes-Voigt Equations. (2nd April 2016)

• Record Type: Journal Article
• Authors: Anh, Cung The; Nguyet, Tran Minh
• Is Part Of: Numerical functional analysis and optimization. Volume 37:Number 4(2016)
• Page Start: 415
• Page End: 439
• Publication Date: 2016-04-02
• Subjects: Existence -- Navier-Stokes-Voigt equations -- necessary optimality conditions -- optimal control -- sufficient optimality conditions; 49J20 -- 49K20 -- 76D55 -- 35Q35; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2015.1136891
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: We study an optimal control problem with quadratic objective functional for the three dimensional Navier-Stokes-Voigt equations in bounded domains. We show the existence of optimal solutions, the necessary optimality conditions and the sufficient optimality conditions. The second-order optimality conditions obtained in the article seem to be optimal.