A new approach to the study of the 3š’Ÿ-Navier-Stokes system

2007 ā—½  
pp. 223-229 ā—½  
Author(s):  
Yakov Sinai
Keyword(s):  
Stokes System ā—½  
Navier Stokes ā—½  
New Approach

scholarly journals Some preliminary observations on a defect Navierā€“Stokes system

2019 ā—½  
Vol 347 (10) ā—½  
pp. 677-684 ā—½  
Author(s):  
Amit Acharya ā—½  
Roger Fosdick
Keyword(s):  
Stokes System ā—½  
Navier Stokes

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

10.3233/asy-211685 ā—½  
2021 ā—½  
pp. 1-21
Author(s):  
Claudia Gariboldi ā—½  
Takéo Takahashi
Keyword(s):  
Optimal Control ā—½  
Optimal Control Problem ā—½  
Boundary Conditions ā—½  
Control Problem ā—½  
Stokes System ā—½  
Navier Stokes ā—½  
Slip Boundary Conditions ā—½  
Navier Slip ā—½  
Slip Boundary ā—½  
Navier Slip Boundary Conditions

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

scholarly journals New asymptotic profiles of nonstationary solutions of the Navierā€“Stokes system

2007 ā—½  
Vol 88 (1) ā—½  
pp. 64-86 ā—½  
Author(s):  
Lorenzo Brandolese ā—½  
François Vigneron
Keyword(s):  
Stokes System ā—½  
Navier Stokes

Homogenization of the time discretized compressible Navierā€“Stokes system

Nonlinear Analysis ā—½  
2012 ā—½  
Vol 75 (4) ā—½  
pp. 2486-2498 ā—½  
Author(s):  
Hongxing Zhao ā—½  
Zheng-an Yao
Keyword(s):  
Stokes System ā—½  
Navier Stokes
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