Analysis of Neumann boundary optimal control problems for the stationary Boussinesq equations including solid media

Citation
Hc. Lee et Oy. Imanuvilov, Analysis of Neumann boundary optimal control problems for the stationary Boussinesq equations including solid media, SIAM J CON, 39(2), 2000, pp. 457-477
Citations number
26
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN journal
03630129 → ACNP
Volume
39
Issue
2
Year of publication
2000
Pages
457 - 477
Database
ISI
SICI code
0363-0129(20000927)39:2<457:AONBOC>2.0.ZU;2-P
Abstract
This article deals with Neumann boundary optimal control problems associate d with the Boussinesq equations including solid media. These problems are r st put into an appropriate mathematical formulation. Then the existence of optimal solutions is proved. The use of Lagrange multiplier techniques is j ustified and an optimality system of equations is derived.