On a shape control problem for the stationary Navier-Stokes equations

Authors
Gunzburger, MD Kim, H Manservisi, S
Citation
Md. Gunzburger et al., On a shape control problem for the stationary Navier-Stokes equations, ESAIM-M MOD, 34(6), 2000, pp. 1233-1258
Citations number
38
Categorie Soggetti
Mathematics
Journal title
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
34
Issue
6
Year of publication
2000
Pages
1233 - 1258
Database
ISI
SICI code
0764-583X(200011/12)34:6<1233:OASCPF>2.0.ZU;2-7
Abstract
An optimal shape control problem for the stationary Navier-Stokes system is considered. An incompressible, viscous flow in a two-dimensional channel i s studied to determine the shape of part of the boundary that minimizes the viscous drag. The adjoint method and the Lagrangian multiplier method are used to derive the optimality system for the shape gradient of the design f unctional.