Stabilization of the Boussinesq equation via internal feedback controls

Nonlinear Analysis, Theory, Methods and Applications

Volumn 52, Issue 2, 2003, Pages 485-506

  Wang, Gengsheng ^a,b  

^a Wuhan National Laboratory for Optoelectronics   (China)

^b CENTRAL CHINA NORMAL UNIVERSITY   (China)

Author keywords

Boussinesq equations; Eigenvalue; Feedback controller; Stabilization; Steady state solutions

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK CONTROL; MATHEMATICAL OPERATORS; SET THEORY; VECTORS;

FEEDBACK INTERNAL CONTROLLERS;

DIFFERENTIAL EQUATIONS;

EID: 0037209797     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(02)00114-1     Document Type: Article

References (8)

1. Barbu V. Nonlinear Semigroups and Differential Equations in Banach Spaces. 1976;Noordhoff, Leyden.
2. Barbu V. Analysis and Control of Nonlinear Infinite Dimensional Systems. 1993;Academic Press, New York.
3. V. Barbu, Local internal controllability of the Navier-Stokes equations, Differential and Integral Equations, to appear.
4. V. Barbu, C. Lefter, Internal stabilizability of the Navier-Stokes equations, to appear.
5. Barbu V., Srithanran S. Flow invariance preserving feedback controllers for the Navier-Stokes equation. J. Math. Anal. 255(1):2001;281-307.
6. Constantin P., Foias C. Navier-Stokes Equations. 1988;The University Chicago Press, Chicago.
7. Fursikov A.V., Imanuvilov O.Yu. Remark on exact controllability for the Navier-Stokes equations. ESIAM COCV. 6:2001;39-72.
8. Teman R. Navier-Stokes Equations and Nonlinear Functional Analysis. 1983;SIAM, Philadelphia.