On the optimal control of a class of non-Newtonian fluids

Telma Guerra; J. Tiago; Adelia Sequeira; DM Group Author

doi:10.1007/s11565-013-0195-7

On the optimal control of a class of non-Newtonian fluids

Telma Guerra, J. Tiago, Adelia Sequeira, DM Group Author

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

Abstract

We consider optimal control problems of systems governed by stationary,incompressible generalized Navier-Stokes equations with shear dependent viscosity ina two-dimensional or three-dimensional domain.We study a general class of viscosityfunctions with shear-thinning and shear-thickening behavior. We prove an existenceresult for such class of optimal control problems.

Original language	English
Pages (from-to)	133-147
Journal	Annali Dell'Universita Di Ferrara
Volume	60
Issue number	1
DOIs	https://doi.org/10.1007/s11565-013-0195-7
Publication status	Published - May 2014

Keywords

Electro-rheological fluids
Optimal control
Shear-thickening
Shear-thinning

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10.1007/s11565-013-0195-7

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abstract = "We consider optimal control problems of systems governed by stationary,incompressible generalized Navier-Stokes equations with shear dependent viscosity ina two-dimensional or three-dimensional domain.We study a general class of viscosityfunctions with shear-thinning and shear-thickening behavior. We prove an existenceresult for such class of optimal control problems.",

keywords = "electro-rheological fluids, shear-thickening, Optimal control, shear-thinning, Electro-rheological fluids, Optimal control, Shear-thickening, Shear-thinning",

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AU - Tiago, J.

AU - Sequeira, Adelia

AU - DM Group Author

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PY - 2014/5

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N2 - We consider optimal control problems of systems governed by stationary,incompressible generalized Navier-Stokes equations with shear dependent viscosity ina two-dimensional or three-dimensional domain.We study a general class of viscosityfunctions with shear-thinning and shear-thickening behavior. We prove an existenceresult for such class of optimal control problems.

AB - We consider optimal control problems of systems governed by stationary,incompressible generalized Navier-Stokes equations with shear dependent viscosity ina two-dimensional or three-dimensional domain.We study a general class of viscosityfunctions with shear-thinning and shear-thickening behavior. We prove an existenceresult for such class of optimal control problems.

KW - electro-rheological fluids

KW - shear-thickening

KW - Optimal control

KW - shear-thinning

KW - Electro-rheological fluids

KW - Optimal control

KW - Shear-thickening

KW - Shear-thinning

U2 - 10.1007/s11565-013-0195-7

DO - 10.1007/s11565-013-0195-7

M3 - Article

VL - 60

SP - 133

EP - 147

JO - Annali Dell'Universita Di Ferrara

JF - Annali Dell'Universita Di Ferrara

SN - 0430-3202

IS - 1

ER -

On the optimal control of a class of non-Newtonian fluids

Abstract

Keywords

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