Optimal Control of Shear-Thinning Fluids

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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 languageUnknown
Pages (from-to)2515-2542
JournalSIAM Journal on Control and Optimization
Volume50
Issue number4
DOIs
Publication statusPublished - 1 Jan 2012

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