OPTIMAL CONTROL OF SHEAR-THINNING FLUIDS

被引：13
|
作者：
Arada, Nadir [1 ]
机构：
[1] Univ Nova Lisboa, Dept Matemat, Fac Ciencias & Tecnol, P-2829516 Quinta Da Torre, Caparica, Portugal
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2012年 / 50卷 / 04期
关键词：
optimal control; steady Navier-Stokes equations; shear-thinning flows; necessary optimality conditions; NAVIER-STOKES; EQUATIONS; FLOW;
D O I：
10.1137/110842612
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：2515 / 2542
页数：28
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