Optimal control of evolutionary quasi-Newtonian fluids

Nadir Arada

doi:10.1137/120898711

Optimal control of evolutionary quasi-Newtonian fluids

Nadir Arada

DM - Departamento de Matemática

Research output: Contribution to journal › Article

Abstract

We are interested in the necessary optimality conditions for optimal control problems of systems describing the unsteady flow of incompressible shear-thickening fluids. To overcome the difficulties related to the differentiability of the control-to-state mapping, consequence of the lack of regularity of the state variable, we first establish some intermediate optimality conditions and then pass to the limit.

Original language	Unknown
Pages (from-to)	3401-3436
Journal	SIAM Journal on Control and Optimization
Volume	52
Issue number	5
DOIs	https://doi.org/10.1137/120898711
Publication status	Published - 1 Jan 2014

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10.1137/120898711

Cite this

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title = "Optimal control of evolutionary quasi-Newtonian fluids",

abstract = "We are interested in the necessary optimality conditions for optimal control problems of systems describing the unsteady flow of incompressible shear-thickening fluids. To overcome the difficulties related to the differentiability of the control-to-state mapping, consequence of the lack of regularity of the state variable, we first establish some intermediate optimality conditions and then pass to the limit.",

keywords = "non-Newtonian fluids, shear-dependent viscosity, necessary optimality conditions, optimal control",

author = "Nadir Arada",

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T1 - Optimal control of evolutionary quasi-Newtonian fluids

AU - Arada, Nadir

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We are interested in the necessary optimality conditions for optimal control problems of systems describing the unsteady flow of incompressible shear-thickening fluids. To overcome the difficulties related to the differentiability of the control-to-state mapping, consequence of the lack of regularity of the state variable, we first establish some intermediate optimality conditions and then pass to the limit.

AB - We are interested in the necessary optimality conditions for optimal control problems of systems describing the unsteady flow of incompressible shear-thickening fluids. To overcome the difficulties related to the differentiability of the control-to-state mapping, consequence of the lack of regularity of the state variable, we first establish some intermediate optimality conditions and then pass to the limit.

KW - non-Newtonian fluids

KW - shear-dependent viscosity

KW - necessary optimality conditions

KW - optimal control

U2 - 10.1137/120898711

DO - 10.1137/120898711

M3 - Article

VL - 52

SP - 3401

EP - 3436

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

SN - 0363-0129

IS - 5

ER -