# Distributed control for multistate modified Navier-Stokes equations

ESAIM: Control, Optimisation and Calculus of Variations (2013)

- Volume: 19, Issue: 1, page 219-238
- ISSN: 1292-8119

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topArada, Nadir. "Distributed control for multistate modified Navier-Stokes equations." ESAIM: Control, Optimisation and Calculus of Variations 19.1 (2013): 219-238. <http://eudml.org/doc/272843>.

@article{Arada2013,

abstract = {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.},

author = {Arada, Nadir},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {optimal control; multistate Navier-Stokes equations; shear-dependent viscosity; necessary optimality conditions},

language = {eng},

number = {1},

pages = {219-238},

publisher = {EDP-Sciences},

title = {Distributed control for multistate modified Navier-Stokes equations},

url = {http://eudml.org/doc/272843},

volume = {19},

year = {2013},

}

TY - JOUR

AU - Arada, Nadir

TI - Distributed control for multistate modified Navier-Stokes equations

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2013

PB - EDP-Sciences

VL - 19

IS - 1

SP - 219

EP - 238

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.

LA - eng

KW - optimal control; multistate Navier-Stokes equations; shear-dependent viscosity; necessary optimality conditions

UR - http://eudml.org/doc/272843

ER -

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