@article{AIHPC_2007__24_6_1029_0, author = {Guerrero, Sergio}, title = {Controllability of systems of {Stokes} equations with one control force : existence of insensitizing controls}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {1029--1054}, publisher = {Elsevier}, volume = {24}, number = {6}, year = {2007}, doi = {10.1016/j.anihpc.2006.11.001}, mrnumber = {2371118}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2006.11.001/} }
TY - JOUR AU - Guerrero, Sergio TI - Controllability of systems of Stokes equations with one control force : existence of insensitizing controls JO - Annales de l'I.H.P. Analyse non linéaire PY - 2007 SP - 1029 EP - 1054 VL - 24 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2006.11.001/ DO - 10.1016/j.anihpc.2006.11.001 LA - en ID - AIHPC_2007__24_6_1029_0 ER -
%0 Journal Article %A Guerrero, Sergio %T Controllability of systems of Stokes equations with one control force : existence of insensitizing controls %J Annales de l'I.H.P. Analyse non linéaire %D 2007 %P 1029-1054 %V 24 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2006.11.001/ %R 10.1016/j.anihpc.2006.11.001 %G en %F AIHPC_2007__24_6_1029_0
Guerrero, Sergio. Controllability of systems of Stokes equations with one control force : existence of insensitizing controls. Annales de l'I.H.P. Analyse non linéaire, Volume 24 (2007) no. 6, pp. 1029-1054. doi : 10.1016/j.anihpc.2006.11.001. http://www.numdam.org/articles/10.1016/j.anihpc.2006.11.001/
[1] Controls insensitizing the norm of the solution of a semilinear heat equation, J. Math. Anal. Appl. 195 (3) (1995) 658-683. | MR | Zbl
, ,[2] Existence of insensitizing controls for a semilinear heat equation with a superlinear nonlinearity, Comm. Partial Differential Equations 29 (7-8) (2004) 1017-1050. | Zbl
, , ,[3] Insensitizing controls for a semilinear heat equation, Comm. Partial Differential Equations 25 (1-2) (2000) 39-72. | Zbl
,[4] L. De Teresa, O. Kavian, Unique continuation principle for systems of parabolic equations, in preparation.
[5] Null controllability of the heat equation with boundary Fourier conditions: The linear case, ESAIM Control Optim. Calc. Var. 12 (3) (2006) 442-465. | EuDML | Numdam | MR | Zbl
, , , ,[6] Local exact controllability of the Navier-Stokes system, J. Math. Pures Appl. (9) 83 (12) (2004) 1501-1542. | Zbl
, , , ,[7] E. Fernández-Cara, S. Guerrero, Local exact controllability of micropolar fluids, J. Math. Fluid Mech., doi:10.1007/s00021-005-0207-1. | MR | Zbl
[8] E. Fernández-Cara, S. Guerrero, Global Carleman estimates for solutions of parabolic systems defined by transposition and some applications to controllability, AMRX Appl. Math. Res. Express 2006, Art. ID 75090, 31 pp. | MR | Zbl
[9] Controllability of Evolution Equations, Lecture Notes, vol. 34, Seoul National University, Korea, 1996. | MR | Zbl
, ,[10] S. Guerrero, Null controllability of some systems of two parabolic equations with one control force, SIAM J. Control Optim., in press. | MR
[11] Remarks on exact controllability for the Navier-Stokes equations, ESAIM Control Optim. Calc. Var. 6 (2001) 39-72. | Numdam | Zbl
,[12] Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations, Publ. Res. Inst. Math. Sci. 39 (2) (2003) 227-274. | MR | Zbl
, ,[13] The Mathematical Theory of Viscous Incompressible Flow, Translated from the Russian by Richard A. Silverman, Revised, English edition, Gordon and Breach Science Publishers, New York-London, 1963. | Zbl
,[14] Quelques notions dans l'analyse et le contrôle de systèmes à données incomplètes, in: Málaga, 1989, Proceedings of the XIth Congress on Differential Equations and Applications/First Congress on Applied Mathematics, Univ. Málaga, Málaga, 1990, pp. 43-54. | MR | Zbl
,[15] Sentinelles pour les systèmes distribués à données incomplètes, Recherches en Mathématiques Appliquées, vol. 21, Masson, Paris, 1992. | MR | Zbl
,[16] R. Pérez-García, Algunos resultados de control para algunos problemas parabólicos acoplados no lineales: controlabilidad y controles insensibilizantes, PhD Thesis, Sevilla, 2004.
[17] Navier-Stokes Equations. Theory and Numerical Analysis, Studies in Mathematics and its Applications, vol. 2, North Holland Publishing Co., Amsterdam, 1977. | Zbl
,Cited by Sources: