OPTIMAL CONTROLS OF NAVIER-STOKES EQUATIONS

被引：84

作者：

DESAI, M

ITO, K

机构：

[1] Univ of Southern California, Los Angeles, CA

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1994年 / 32卷 / 05期

关键词：

FLOW CONTROL; NAVIER-STOKES EQUATION; AUGMENTED LAGRANGIAN METHOD;

D O I：

10.1137/S0363012992224972

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies optimal control problems of the fluid flow governed by the Navier-Stokes equations. Two control problems are formulated in the case of the driven cavity and flow through a channel with sudden expansion and solved successfully using a numerical optimization algorithm based on the augmented Lagrangian method. Existence and the first-order optimality condition of the optimal control are established. A convergence result on the augmented Lagrangian method for nonsmooth cost functional is obtained.

引用

页码：1428 / 1446

页数：19

共 18 条

[11] THE AUGMENTED LAGRANGIAN METHOD FOR EQUALITY AND INEQUALITY CONSTRAINTS IN HILBERT-SPACES [J].