DocumentCode
404679
Title
Controllability by low modes forcing of the Navier-Stokes equation with periodic data
Author
Agrachev, Andrey ; Sarychev, Andrey
Author_Institution
Int. Sch. for Adv. Studies, Trieste, Italy
Volume
3
fYear
2003
fDate
9-12 Dec. 2003
Firstpage
2734
Abstract
The aim of this work is studying controllability of 2D and 3D Navier-Stokes systems, controlled by degenerate (in few low modes) forcing. We use methods of geometric nonlinear control theory to establish sufficient criteria of: i) controllability for Galerkin approximations of 2D and 3D Navier-Stokes systems; ii) controllability in finite-dimensional projection for 2D Navier-Stokes system; and iii) approximate controllability for 2D Navier-Stokes system.
Keywords
Galerkin method; Navier-Stokes equations; controllability; multidimensional systems; nonlinear control systems; Galerkin approximations; Navier-Stokes equation; controllability; finite-dimensional projection; geometric nonlinear control theory; Boundary conditions; Control systems; Control theory; Controllability; Eigenvalues and eigenfunctions; Laplace equations; Moment methods; Navier-Stokes equations; Nonlinear control systems; Nonlinear equations;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7924-1
Type
conf
DOI
10.1109/CDC.2003.1273037
Filename
1273037
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