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

页码：2515 / 2542

页数：28

共 29 条

[1] SOME OPTIMAL-CONTROL PROBLEMS OF MULTISTATE EQUATIONS APPEARING IN FLUID-MECHANICS [J].