Local exact controllability to the trajectories of the Boussinesq system

S. Guerrero

Annales de l'I.H.P. Analyse non linéaire (2006)

  • Volume: 23, Issue: 1, page 29-61
  • ISSN: 0294-1449

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Guerrero, S.. "Local exact controllability to the trajectories of the Boussinesq system." Annales de l'I.H.P. Analyse non linéaire 23.1 (2006): 29-61. <http://eudml.org/doc/78683>.

@article{Guerrero2006,
author = {Guerrero, S.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {global Carleman inequalities; Exact controllability; Nonlinear systems},
language = {eng},
number = {1},
pages = {29-61},
publisher = {Elsevier},
title = {Local exact controllability to the trajectories of the Boussinesq system},
url = {http://eudml.org/doc/78683},
volume = {23},
year = {2006},
}

TY - JOUR
AU - Guerrero, S.
TI - Local exact controllability to the trajectories of the Boussinesq system
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2006
PB - Elsevier
VL - 23
IS - 1
SP - 29
EP - 61
LA - eng
KW - global Carleman inequalities; Exact controllability; Nonlinear systems
UR - http://eudml.org/doc/78683
ER -

References

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  1. [1] Alekseev V.M., Tikhomirov V.M., Fomin S.V., Optimal Control, Contemp. Soviet Math., Consultants Bureau, New York, 1987, Translated from the Russian by V.M. Volosov. Zbl0689.49001MR924574
  2. [2] E. Fernández-Cara, S. Guerrero, Global Carleman inequalities for parabolic systems and applications to controllability, SIAM J. Control Optimization, in press. Zbl1121.35017
  3. [3] Fernández-Cara E., Guerrero S., Imanuvilov O.Yu., Puel J.-P., Local exact controllability of the Navier–Stokes system, J. Math. Pures Appl.83 (12) (2004) 1501-1542. Zbl1267.93020MR2103189
  4. [4] Fursikov A.V., Imanuvilov O.Yu., Controllability of Evolution Equations, Lecture Notes, vol. 34, Seoul National University, Korea, 1996. Zbl0862.49004MR1406566
  5. [5] Fursikov A.V., Imanuvilov O.Yu., Local exact boundary controllability of the Boussinesq equation, SIAM J. Control Optim.36 (2) (1998) 391-421. Zbl0907.76020MR1616510
  6. [6] Fursikov A.V., Imanuvilov O.Yu., Exact controllability of the Navier–Stokes and Boussinesq equations, Uspekhi Mat. Nauk54 (3) (327) (1999) 93-146, (in Russian). Translation in, Russian Math. Surveys54 (3) (1999) 565-618. Zbl0970.35116MR1728643
  7. [7] Giga Y., Sohr H., Abstract L p estimates for the Cauchy problem with applications to the Navier–Stokes equations in exterior domains, J. Funct. Anal.102 (1991) 72-94. Zbl0739.35067MR1138838
  8. [8] Imanuvilov O.Yu., Remarks on exact controllability for the Navier–Stokes equations, ESAIM Control Optim. Calc. Var.6 (2001) 39-72. Zbl0961.35104MR1804497
  9. [9] Imanuvilov O.Yu., Puel J.-P., Global Carleman estimates for weak elliptic non homogeneous Dirichlet problem, Int. Math. Res. Notices16 (2003) 883-913. Zbl1146.35340MR1959940
  10. [10] Ladyzenskaya O.A., Solonnikov A.V., Uraltzeva N.N., Linear and Quasilinear Equations of Parabolic Type, Transl. Math. Monographs, vol. 23, 1967. Zbl0174.15403MR76158
  11. [11] Temam R., Navier–Stokes Equations. Theory and Numerical Analysis, Stud. Math. Appl., vol. 2, North-Holland, Amsterdam, 1977. Zbl0383.35057MR603444

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