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
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;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1273037
