TY - JOUR
T1 - Distributed Control for Multistate Modified Navier-Stokes Equations
AU - Arada, Nadir
PY - 2013/1/1
Y1 - 2013/1/1
N2 - The aim of this paper is to establish necessary optimality conditions for optimal control problems governed by steady, incompressible Navier-Stokes equations with shear-dependent viscosity. The main difficulty derives from the fact that equations of this type may exhibit non-uniqueness of weak solutions, and is overcome by introducing a family of approximate control problems governed by well posed generalized Stokes systems and by passing to the limit in the corresponding optimality conditions
AB - The aim of this paper is to establish necessary optimality conditions for optimal control problems governed by steady, incompressible Navier-Stokes equations with shear-dependent viscosity. The main difficulty derives from the fact that equations of this type may exhibit non-uniqueness of weak solutions, and is overcome by introducing a family of approximate control problems governed by well posed generalized Stokes systems and by passing to the limit in the corresponding optimality conditions
KW - shear-dependent viscosity
KW - necessary optimality conditions
KW - Optimal control
KW - multistate Navier-Stokes equations
U2 - 10.1051/cocv/2012007
DO - 10.1051/cocv/2012007
M3 - Article
VL - 19
SP - 219
EP - 238
JO - Esaim-Control Optimisation And Calculus Of Variations
JF - Esaim-Control Optimisation And Calculus Of Variations
SN - 1262-3377
IS - 1
ER -