First-order necessary conditions of optimality for the optimal control of two-dimensional convective Brinkman–Forchheimer equations with state constraints. (9th December 2022)

• Record Type: Journal Article
• Authors: Mohan, Manil T.
• Is Part Of: Optimization. Volume 71:Number 13(2022)
• Page Start: 3861
• Page End: 3907
• Publication Date: 2022-12-09
• Subjects: Porus medium -- convective Brinkman–Forchheimer equations -- first-order necessary conditions -- state constraints -- optimal control; 49J20 -- 35Q35 -- 76D03; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2021.1925895
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : This work is concerned about some distributed optimal control problems governed by two-dimensional convective Brinkman–Forchheimer (CBF) equations, which describe the motion of incompressible viscous fluid through a rigid, homogeneous, isotropic, porous medium. We address a distributed optimal control problem of minimizing a suitable cost functional subjected to 2D CBF equations with state constraints. We establish the existence of an optimal solution and obtain the first-order necessary conditions of optimality for such optimal control problems.