Distributed control for multistate modified Navier-Stokes equations
Author:
Open Access
- 2 May 2012
- journal article
- research article
- Published by EDP Sciences in ESAIM: Control, Optimisation and Calculus of Variations
- Vol. 19 (1) , 219-238
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.Keywords
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