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
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;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1237103
