Dynamics and approximations of a velocity tracking problem for the Navier-Stokes flows with piecewise distributed controls

Dynamics and approximations of a velocity tracking problem for the Navier-Stokes flows with piecewise distributed controls

We study the dynamics of a piecewise (in time) distributed optimal control problem for the Navier--Stokes equations which models velocity tracking over time. We also study the dynamics of semidiscrete and fully discrete approximations of this velocity tracking problem. We prove that the rates of vel...

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Veröffentlicht in:SIAM journal on control and optimization 1997-11, Vol.35 (6), p.1847-1885
Hauptverfasser: HOU, L. S, YAN, Y
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Applied sciences
Approximation
Computer science
control theory
systems
Control theory. Systems
Error analysis
Exact sciences and technology
Flow control
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Navier-Stokes equations
Norms
Optimal control
Physics
Velocity
Viscosity
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Beschreibung
Zusammenfassung:We study the dynamics of a piecewise (in time) distributed optimal control problem for the Navier--Stokes equations which models velocity tracking over time. We also study the dynamics of semidiscrete and fully discrete approximations of this velocity tracking problem. We prove that the rates of velocity tracking are exponential. Some computational results are presented, which reinforces the theoretical results derived.
ISSN:0363-0129
1095-7138
DOI:10.1137/S036301299529286X