Controllability by low modes forcing of the Navier-Stokes equation with periodic data | IEEE Conference Publication | IEEE Xplore

Controllability by low modes forcing of the Navier-Stokes equation with periodic data


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 nonl...Show More

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.
Date of Conference: 09-12 December 2003
Date Added to IEEE Xplore: 15 March 2004
Print ISBN:0-7803-7924-1
Print ISSN: 0191-2216
Conference Location: Maui, HI, USA

References

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