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. |