DISTRIBUTED CONTROL FOR MULTISTATE MODIFIED NAVIER-STOKES EQUATIONS

被引：6

作者：

Arada, Nadir ^{[1
]}

机构：

[1] Univ Nova Lisboa, Fac Ciencias & Tecnol, Dept Matemat, P-2829516 Quinta Da Torre, Caparica, Portugal

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2013年 / 19卷 / 01期

关键词：

Optimal control; multistate Navier-Stokes equations; shear-dependent viscosity; necessary optimality conditions; FLOW;

D O I：

10.1051/cocv/2012007

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 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.

引用

页码：219 / 238

页数：20

共 20 条

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