On approximate controllability of the Stokes system

Andrei V. Fursikov; Oleg Yu Imanuvilov

Annales de la Faculté des sciences de Toulouse : Mathématiques (1993)

  • Volume: 2, Issue: 2, page 205-232
  • ISSN: 0240-2963

How to cite

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Fursikov, Andrei V., and Imanuvilov, Oleg Yu. "On approximate controllability of the Stokes system." Annales de la Faculté des sciences de Toulouse : Mathématiques 2.2 (1993): 205-232. <http://eudml.org/doc/73319>.

@article{Fursikov1993,
author = {Fursikov, Andrei V., Imanuvilov, Oleg Yu},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
language = {eng},
number = {2},
pages = {205-232},
publisher = {UNIVERSITE PAUL SABATIER},
title = {On approximate controllability of the Stokes system},
url = {http://eudml.org/doc/73319},
volume = {2},
year = {1993},
}

TY - JOUR
AU - Fursikov, Andrei V.
AU - Imanuvilov, Oleg Yu
TI - On approximate controllability of the Stokes system
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1993
PB - UNIVERSITE PAUL SABATIER
VL - 2
IS - 2
SP - 205
EP - 232
LA - eng
UR - http://eudml.org/doc/73319
ER -

References

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  2. [2] Diaz ( J.I.) .— Sur la contrôlatilité approchée des inéquations variationnelles et d'autres problèmes paraboliques non linéaires, C.R. Acad. Sci.Paris312, Série I (1991), pp. 519-522. Zbl0723.49019MR1099684
  3. [3] Fernandez-Cara ( E.) and Real ( J.) .— On the conjecture due to J.-L. Lions concerning weak controllability for Navier-Stokes flows, To appear in Nonlinear Analysis. Zbl0938.35516
  4. [4] Fursikov ( A.V.) .— Lagrange principle for problems of optimal control of illposed or singular distributed systems, J. Math. Pure et Appl.71, n° 2 (1992), pp. 139-195. Zbl0829.49001MR1170249
  5. [5] Fursikov ( A.V.) and Imanuvilov ( O. Yu) .— On ∈-controllability of the Stokes problem with distributed control concentrated in a subdomain, Russian Math. Surveys47, n° 1 (1992), pp. 255-256. Zbl0810.93002MR1171873
  6. [6] Ladyzhenskaya ( O.A.) .— The mathematical theory of viscous incompressible flow, Gordon and Breach, New York (1963). Zbl0121.42701MR155093
  7. [7] Lions ( J.-L.) . — Remarques sur la contrôlabilité approchée, In Proceedings of the "Jordanas Hispano-Francesas sobre control de sistemas distribuidos", University of Malaga (Spain), October 1990. Zbl0752.93037MR1108876
  8. [8] Lions( J.-L.) .— Contrôle optimal des systèmes gouvernés par des équations aux dérivées partielles, Dunod, Paris (1968). Zbl0179.41801MR244606
  9. [9] Lions ( J.-L.) .— Are there connections between turbulence and controllability?Analyse et Optimisation des Systèmes, Springer-Verlag, Lecture Notes in Control and Information Series144 (1990). 
  10. [10] Lions ( J.-L.) and Magenes ( E.) . — Problèmes aux limites non homogènes et applications, Dunod, Paris (1968). Zbl0165.10801
  11. [11] Shmidt ( G.) .— Even more states reacheable by boundary control for the heat equation, SIAM J. Control and Optimization24, n° 6 (1986), pp. 1319-1322. Zbl0602.49026MR861101
  12. [12] Solonnikov ( V.A.) . — Estimates of Green tensor for certain boundary problems, Dokl. Acad. Nauk SSSR, 130 (1960), pp. 988-991. Zbl0097.30404MR121563
  13. [13] Solonnikov ( V.A.) .— Estimates of solutions of unsteady linearized system of Navier-Stokes equations, Proc. of Math. Inst. of Acad. of Sciences USSR70 (1964), pp. 213-317. Zbl0163.33803MR171094
  14. [14] Solonnikov ( V.A.) .— On general boundary problems for elliptic systems in Douglis-Nirenberg sense, I, Proc. Acad. of Sciences of USSR Serie Math.28 (1964), pp. 665.670; II, Proc. Math. Inst. Acad. Sciences USSR Serie Math.92 (1966) pp. 233-297. Zbl0175.11703MR211071
  15. [15] Temam ( R.) .— Navier-Stokes equations, theory and numerical analysis, North-Holland Publishing Company, Amsterdam (1979). Zbl0426.35003
  16. [16] Vishik ( M.J.) and Fursikov ( A.V.) .— Mathematical problems of statistical hydromechanics, Kluwer Academic Publishers, Dordrecht (1988). Zbl0688.35077

Citations in EuDML Documents

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  1. Claude Bardos, Raphaël Douady, Andrei Fursikov, Static hedging of barrier options with a smile : an inverse problem
  2. Claude Bardos, Raphaël Douady, Andrei Fursikov, Static Hedging of Barrier Options with a Smile: An Inverse Problem
  3. O. Yu. Imanuvilov, On exact controllability for the Navier-Stokes equations
  4. Oleg Yu. Imanuvilov, Remarks on exact controllability for the Navier-Stokes equations
  5. Oleg Yu. Imanuvilov, Remarks on exact controllability for the Navier-Stokes equations

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