Geodesic
Distributed control for multistate modified Navier-Stokes equations
ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 1, pp. 219-238

Voir la notice de l'article provenant de la source Numdam

DOI MR   Zbl

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.

DOI : 10.1051/cocv/2012007
Classification : 49K20, 76D55, 76A05
Keywords: optimal control, multistate Navier-Stokes equations, shear-dependent viscosity, necessary optimality conditions 
Arada, Nadir. Distributed control for multistate modified Navier-Stokes equations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 1, pp. 219-238. doi: 10.1051/cocv/2012007
@article{COCV_2013__19_1_219_0,
     author = {Arada, Nadir},
     title = {Distributed control for multistate modified {Navier-Stokes} equations},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {219--238},
     year = {2013},
     publisher = {EDP-Sciences},
     volume = {19},
     number = {1},
     doi = {10.1051/cocv/2012007},
     mrnumber = {3023067},
     zbl = {1259.49028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2012007/}
}
TY  - JOUR
AU  - Arada, Nadir
TI  - Distributed control for multistate modified Navier-Stokes equations
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2013
SP  - 219
EP  - 238
VL  - 19
IS  - 1
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv/2012007/
DO  - 10.1051/cocv/2012007
LA  - en
ID  - COCV_2013__19_1_219_0
ER  - 
%0 Journal Article
%A Arada, Nadir
%T Distributed control for multistate modified Navier-Stokes equations
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2013
%P 219-238
%V 19
%N 1
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv/2012007/
%R 10.1051/cocv/2012007
%G en
%F COCV_2013__19_1_219_0

Cité par Sources :