DocumentCode
2152404
Title
Navier-Stokes equation controlled by degenerate forcing: controllability of finite-dimensional approximations
Author
Agrachev, Andrey ; Sarychev, Andrey
Author_Institution
International Sch. for Adv. Studies, Trieste, Italy
Volume
4
fYear
2003
fDate
20-22 Aug. 2003
Firstpage
1346
Abstract
The aim of this work is studying controllability of finite-dimensional Galerkin approximations of 2D and 3D Navier-Stokes equations, controlled by degenerate forcing. Methods of geometric/Lie-algebraic nonlinear control theory are used to establish sufficient criteria of global controllability.
Keywords
Galerkin method; Lie algebras; Navier-Stokes equations; controllability; multidimensional systems; nonlinear control systems; Galerkin approximations; Lie-algebraic nonlinear control theory; Navier-Stokes equation; degenerate forcing; finite-dimensional approximations; geometric nonlinear control theory; global controllability; Boundary conditions; Control systems; Controllability; Differential equations; Eigenvalues and eigenfunctions; Laplace equations; Navier-Stokes equations; Nonlinear equations;
fLanguage
English
Publisher
ieee
Conference_Titel
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN
0-7803-7939-X
Type
conf
DOI
10.1109/PHYCON.2003.1237103
Filename
1237103
Link To Document