# Approximate controllability of a hydro-elastic coupled system

Jacques-Louis Lions; Enrique Zuazua

ESAIM: Control, Optimisation and Calculus of Variations (1996)

- Volume: 1, page 1-15
- ISSN: 1292-8119

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top## How to cite

topLions, Jacques-Louis, and Zuazua, Enrique. "Approximate controllability of a hydro-elastic coupled system." ESAIM: Control, Optimisation and Calculus of Variations 1 (1996): 1-15. <http://eudml.org/doc/90421>.

@article{Lions1996,

author = {Lions, Jacques-Louis, Zuazua, Enrique},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Hydroelasticity; approximate controllability; coupled system; spectral decomposition; generic spectral properties; Stokes system},

language = {eng},

pages = {1-15},

publisher = {EDP Sciences},

title = {Approximate controllability of a hydro-elastic coupled system},

url = {http://eudml.org/doc/90421},

volume = {1},

year = {1996},

}

TY - JOUR

AU - Lions, Jacques-Louis

AU - Zuazua, Enrique

TI - Approximate controllability of a hydro-elastic coupled system

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 1996

PB - EDP Sciences

VL - 1

SP - 1

EP - 15

LA - eng

KW - Hydroelasticity; approximate controllability; coupled system; spectral decomposition; generic spectral properties; Stokes system

UR - http://eudml.org/doc/90421

ER -

## References

top- [1] J.H. Albert: Genericity of simple eigenvalues for elliptic pde's, Proc. AMS, 48(2), 1975, 413-418. Zbl0302.35071MR385934
- [2] H. Cohen and S. I. Rubinow: Some mathematical topics in Biology, Proc. Symp. on System Theory Polytechnic Press, New York ( 1965), 321-337.
- [3] C. Fabre, J. P. Puel and E. Zuazua: Contrôlabilité approchée de l'équation de la chaleur semilinéaire, C.R.A.S. Paris, 315, ( 1992), 807-812. Zbl0770.35009MR1184907
- [4] O. A. Ladyzhenskaya: The Mathematical Theory of Viscous Incompressible Flow, , Gordon and Breach Science Publishers, New York, 1987. Zbl0184.52603MR254401
- [5] H. Lamb: Hydrodynamics, 6th ed., Cambridge Univ. Press, 1932. Zbl0828.01012MR1317348JFM58.1298.04
- [6] J.L. Lions: Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris, 1969. Zbl0189.40603MR259693
- [7] J.L. Lions: Remarks on approximate controllability, I. Analyse Math., 59, 1992, 103-116. Zbl0806.35101MR1226954
- [8] J.L. Lions and E. Magenes: Problèmes aux limites non homogènes et applications, vol. 1, Dunod, Paris, 1968. Zbl0165.10801MR247243
- [9] A.M. Micheletti: Perturbazione dello spettro dell operatore di Laplace, in relazione ad una variazione del campo, Ann. Scuola Norm. Sup. Pisa, 26(3), 1972, 151-169. Zbl0234.35073MR367480
- [10] K. Uhlenbeck: Generic properties of eigenfunctions, American J. Math., 98(4),1 1976, 1059-1078. Zbl0355.58017MR464332

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