EXISTENCE OF AN OPTIMAL SOLUTION OF A SHAPE CONTROL PROBLEM FOR THE STATIONARY NAVIER-STOKES EQUATIONS

Authors
GUNZBURGER MD KIM H
Citation
Md. Gunzburger et H. Kim, EXISTENCE OF AN OPTIMAL SOLUTION OF A SHAPE CONTROL PROBLEM FOR THE STATIONARY NAVIER-STOKES EQUATIONS, SIAM journal on control and optimization, 36(3), 1998, pp. 895-909
Citations number
22
Categorie Soggetti
Mathematics,"Robotics & Automatic Control",Mathematics,"Robotics & Automatic Control
Journal title
SIAM journal on control and optimization → ACNP
ISSN journal
03630129
Volume
36
Issue
3
Year of publication
1998
Pages
895 - 909
Database
ISI
SICI code
0363-0129(1998)36:3<895:EOAOSO>2.0.ZU;2-8
Abstract
This paper is concerned with an optimal shape control problem for the stationary Navier-Stokes system. A two-dimensional channel ow of an in compressible, viscous fluid is examined to determine the shape of a bu mp on a part of the boundary that minimizes the viscous drag. After gi ving a precise formulation of the extremal problem in a function analy tic setting, it is shown that optimal solutions exist.