Optimal Control of Two- and Three-Dimensional Incompressible Navier–Stokes Flows

1997 ◽  
Vol 136 (2) ◽  
pp. 231-244 ◽  
Author(s):  
Omar Ghattas ◽  
Jai-Hyeong Bark
Keyword(s):  
Optimal Control ◽  
Three Dimensional ◽  
Navier Stokes ◽  
Stokes Flows

Eulerian diagnostics for Lagrangian chaos in three-dimensional Navier-Stokes flows

1998 ◽  
Vol 57 (1) ◽  
pp. 482-490 ◽  
Author(s):  
A. N. Yannacopoulos ◽  
I. Mezić ◽  
G. Rowlands ◽  
G. P. King
Keyword(s):  
Three Dimensional ◽  
Navier Stokes ◽  
Stokes Flows

Feedback control for non-stationary 3D Navier–Stokes–Voigt equations

2020 ◽  
Vol 25 (12) ◽  
pp. 2210-2221
Author(s):  
Biao Zeng
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Feedback Control ◽  
Optimal Control Problem ◽  
Existence Result ◽  
Existence Of Solutions ◽  
Three Dimensional ◽  
Navier Stokes ◽  
Feedback Control System ◽  
Boundedness Result

The goal of this article is to study the feedback control for non-stationary three-dimensional Navier–Stokes–Voigt equations. Based on the existence, uniqueness, and boundedness result of the weak solutions to the equations, we obtain the existence of solutions to the feedback control system. An existence result for an optimal control problem is also given. We illustrate our main result with an evolutionary hemivariational inequality.

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