Internal Flows of Incompressible Fluids Subject to Stick-Slip Boundary Conditions

2016 ◽  
Vol 45 (1-2) ◽  
pp. 207-220 ◽  
Author(s):  
Miroslav Bulíček ◽  
Josef Málek
Keyword(s):  
Boundary Conditions ◽  
Incompressible Fluids ◽  
Slip Boundary Conditions ◽  
Internal Flows ◽  
Stick Slip ◽  
Slip Boundary

scholarly journals Asymptotic analysis of an optimal control problem for a viscous incompressible fluid with Navier slip boundary conditions

2021 ◽  
pp. 1-21
Author(s):  
Claudia Gariboldi ◽  
Takéo Takahashi
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Boundary Conditions ◽  
Control Problem ◽  
Stokes System ◽  
Navier Stokes ◽  
Slip Boundary Conditions ◽  
Navier Slip ◽  
Slip Boundary ◽  
Navier Slip Boundary Conditions

We consider an optimal control problem for the Navier–Stokes system with Navier slip boundary conditions. We denote by α the friction coefficient and we analyze the asymptotic behavior of such a problem as α → ∞. More precisely, we prove that if we take an optimal control for each α, then there exists a sequence of optimal controls converging to an optimal control of the same optimal control problem for the Navier–Stokes system with the Dirichlet boundary condition. We also show the convergence of the corresponding direct and adjoint states.

Sign in / Sign up

Export Citation Format

Share Document