Distributed control for multistate modified Navier-Stokes equations

Nadir Arada

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

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

Abstract

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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.

How to cite

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Arada, 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 -

References

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