DYNAMICS AND APPROXIMATIONS OF A VELOCITY TRACKING PROBLEM FOR THE NAVIER-STOKES FLOWS WITH PIECEWISE DISTRIBUTED CONTROLS

Authors
HOU LS YAN Y
Citation
Ls. Hou et Y. Yan, DYNAMICS AND APPROXIMATIONS OF A VELOCITY TRACKING PROBLEM FOR THE NAVIER-STOKES FLOWS WITH PIECEWISE DISTRIBUTED CONTROLS, SIAM journal on control and optimization, 35(6), 1997, pp. 1847-1885
Citations number
18
Categorie Soggetti
Controlo Theory & Cybernetics",Mathematics
Journal title
SIAM journal on control and optimization → ACNP
ISSN journal
03630129
Volume
35
Issue
6
Year of publication
1997
Pages
1847 - 1885
Database
ISI
SICI code
0363-0129(1997)35:6<1847:DAAOAV>2.0.ZU;2-0
Abstract
We study the dynamics of a piecewise (in time) distributed optimal con trol problem for the Navier-Stokes equations which models velocity tra cking over time. We also study the dynamics of semidiscrete and fully discrete approximations of this velocity tracking problem. We prove th at the rates of velocity tracking are exponential. Some computational results are presented, which reinforces the theoretical results derive d.