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 |
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Pages (from-to) | 2515-2542 |
Journal | SIAM Journal on Control and Optimization |
Volume | 50 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Jan 2012 |