Optimal Control of Shear-Thinning Fluids

Nadir Arada

doi:10.1137/110842612

Optimal Control of Shear-Thinning Fluids

Nadir Arada

DM - Departamento de Matemática

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

4 Citations (Scopus)

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 is related to the differentiability of the control-to-state mapping and is overcome by introducing a family of smooth approximate control problems and by passing to the limit in the corresponding optimality conditions

Original language	Unknown
Pages (from-to)	2515-2542
Journal	SIAM Journal on Control and Optimization
Volume	50
Issue number	4
DOIs	https://doi.org/10.1137/110842612
Publication status	Published - 1 Jan 2012

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10.1137/110842612

Cite this

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title = "Optimal Control of Shear-Thinning Fluids",

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 is related to the differentiability of the control-to-state mapping and is overcome by introducing a family of smooth approximate control problems and by passing to the limit in the corresponding optimality conditions",

keywords = "necessary optimality conditions, steady Navier-Stokes equations, optimal control, shear-thinning flows",

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T1 - Optimal Control of Shear-Thinning Fluids

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PY - 2012/1/1

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N2 - 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 is related to the differentiability of the control-to-state mapping and is overcome by introducing a family of smooth approximate control problems and by passing to the limit in the corresponding optimality conditions

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 is related to the differentiability of the control-to-state mapping and is overcome by introducing a family of smooth approximate control problems and by passing to the limit in the corresponding optimality conditions

KW - necessary optimality conditions

KW - steady Navier-Stokes equations

KW - optimal control

KW - shear-thinning flows

U2 - 10.1137/110842612

DO - 10.1137/110842612

M3 - Article

VL - 50

SP - 2515

EP - 2542

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

SN - 0363-0129

IS - 4

ER -