An optimal control problem for linearised Navier-Stokes equation

Subject Optimization
Title An optimal control problem for linearised Navier-Stokes equation
Author(s) Yusuf Kocak, Ercan Celik, Mustafa Ali Dokuyucu
Keywords Navier- Stokes, optimal control problem, variational problem
Abstract In this study, we consider the optimal control problem for Navier- Stokes equation where control function is square summable. We examine the existence and uniqueness of optimal solution and get differentiability of functional. Then we obtain a necessary optimality condition in the form of a variational inequality using gradient.