Distributed Control for Multistate Modified Navier-Stokes Equations

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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 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
Original languageUnknown
Pages (from-to)219-238
JournalEsaim-Control Optimisation And Calculus Of Variations
Volume19
Issue number1
DOIs
Publication statusPublished - 1 Jan 2013

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