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

How to cite

top

Lions, 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. [1] J.H. Albert: Genericity of simple eigenvalues for elliptic pde's, Proc. AMS, 48(2), 1975, 413-418. Zbl0302.35071MR385934
  2. [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. [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. [4] O. A. Ladyzhenskaya: The Mathematical Theory of Viscous Incompressible Flow, , Gordon and Breach Science Publishers, New York, 1987. Zbl0184.52603MR254401
  5. [5] H. Lamb: Hydrodynamics, 6th ed., Cambridge Univ. Press, 1932. Zbl0828.01012MR1317348JFM58.1298.04
  6. [6] J.L. Lions: Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris, 1969. Zbl0189.40603MR259693
  7. [7] J.L. Lions: Remarks on approximate controllability, I. Analyse Math., 59, 1992, 103-116. Zbl0806.35101MR1226954
  8. [8] J.L. Lions and E. Magenes: Problèmes aux limites non homogènes et applications, vol. 1, Dunod, Paris, 1968. Zbl0165.10801MR247243
  9. [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. [10] K. Uhlenbeck: Generic properties of eigenfunctions, American J. Math., 98(4),1 1976, 1059-1078. Zbl0355.58017MR464332

Citations in EuDML Documents

top
  1. Axel Osses, Jean-Pierre Puel, Approximate controllability for a linear model of fluid structure interaction
  2. Axel Osses, Jean-Pierre Puel, Unique continuation property near a corner and its fluid-structure controllability consequences
  3. Scott Hansen, Exact controllability of an elastic membrane coupled with a potential fluid
  4. Axel Osses, Jean-Pierre Puel, Unique continuation property near a corner and its fluid-structure controllability consequences
  5. Axel Osses, Jean-Pierre Puel, Approximate controllability for a linear model of fluid structure interaction
  6. Hussain A. El-Saify, G. M. Bahaa, Optimal control for n × n coupled systems governed by Petrowsky type equations with control-constrained and infinite number of variables
  7. Jean-Michel Coron, Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations
  8. Jean-Michel Coron, Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations
  9. Yannick Privat, Mario Sigalotti, The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.