Free Access
Issue
ESAIM: COCV
Volume 6, 2001
Page(s) 39 - 72
DOI https://doi.org/10.1051/cocv:2001103
Published online 15 August 2002
  1. V.M. Alekseev, V.M. Tikhomirov and S.V. Fomin, Optimal control. Consultants Bureau, New York (1987). [Google Scholar]
  2. D. Chae, O.Yu. Imanuvilov and S.M. Kim, Exact controllability for semilinear parabolic equations with Neumann boundary conditions. J. Dynam. Control Systems 2 (1996) 449-483. [CrossRef] [MathSciNet] [Google Scholar]
  3. J.-M. Coron, On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier-Slip boundary conditions. ESAIM: COCV 1 (1996) 35-75. [CrossRef] [EDP Sciences] [Google Scholar]
  4. J.-M. Coron, On the controllability of 2-D incompressible perfect fluids. J. Math. Pures Appl. 75 (1996) 155-188. [Google Scholar]
  5. J.-M. Coron, Contrôlabilité exacte frontière de l'équation d'Euler des fluides parfaits incompressibles bidimensionnels. C. R. Acad. Sci. Paris Sér. I Math. 317 (1993) 271-276. [Google Scholar]
  6. J.-M. Coron and A.V. Fursikov, Global exact controllability of the 2-D Navier-Stokes equations on manifold without boundary. Russian J. Math. Phys. 4 (1996) 1-20. [Google Scholar]
  7. C. Fabre, Résultats d'unicité pour les équations de Stokes et applications au contrôle. C. R. Acad. Sci. Paris Sér. I Math. 322 (1996) 1191-1196. [Google Scholar]
  8. C. Fabre and G. Lebeau, Prolongement unique des solutions de l'équation de Stokes. Comm. Partial Differential Equations 21 (1996) 573-596. [Google Scholar]
  9. A.V. Fursikov and O.Yu. Imanuvilov, Local exact controllability of two dimensional Navier-Stokes system with control on the part of the boundary. Sb. Math. 187 (1996) 1355-1390. [CrossRef] [MathSciNet] [Google Scholar]
  10. A.V. Fursikov and O.Yu. Imanuvilov, Local exact boundary controllability of the Boussinesq equation. SIAM J. Control Optim. 36 (1988) 391-421. [CrossRef] [MathSciNet] [Google Scholar]
  11. A.V. Fursikov and O.Yu. Imanuvilov, Local exact controllability of the Navier-Stokes Equations. C. R. Acad. Sci. Paris Sér. I Math. 323 (1996) 275-280. [Google Scholar]
  12. A.V. Fursikov and O.Yu. Imanuvilov, Controllability of evolution equations, Lecture notes series (1996), no. 34 SNU, Seoul. [Google Scholar]
  13. A.V. Fursikov and O.Yu. Imanuvilov, On approximate controllability of the Stokes system. Ann. Fac. Sci. Toulouse 11 (1993) 205-232. [Google Scholar]
  14. A.V. Fursikov and O.Yu. Imanuvilov, Exact controllability of the Navier-Stokes equations and the Boussinesq system. Russian Math. Surveys 54 (1999) 565-618. [CrossRef] [MathSciNet] [Google Scholar]
  15. O. Glass, Contrôlabilité de l'équation d'Euler tridimensionnelle pour les fluides parfaits incompressibles, Séminaire sur les Équations aux Dérivées Partielles, 1997-1998, Exp No XV. École Polytechnique, Palaiseau (1998) 11. [Google Scholar]
  16. O. Glass, Contrôlabilité exacte frontière de l'équation d'Euler des fluides parfaits incompressibles en dimension 3. C. R. Acad. Sci. Paris Sér. I Math. (1997) 987-992. [Google Scholar]
  17. L. Hörmander, Linear partial differential operators. Springer-Verlag, Berlin (1963). [Google Scholar]
  18. T. Horsin, On the controllability of the Burgers equations. ESAIM: COCV 3 (1998) 83-95. [CrossRef] [EDP Sciences] [Google Scholar]
  19. O.Yu. Imanuvilov, On exact controllability for the Navier-Stokes equations. ESAIM: COCV 3 (1998) 97-131. [CrossRef] [EDP Sciences] [Google Scholar]
  20. O.Yu. Imanuvilov, Boundary controllability of parabolic equations. Sb. Math. 186 (1995) 879-900. [Google Scholar]
  21. O.Yu. Imanuvilov, Local exact controllability for the 2-D Navier-Stokes equations with the Navier slip boundary conditions. Lecture Notes in Phys. 491 (1977) 148-168. [CrossRef] [Google Scholar]
  22. O.Yu. Imanuvilov and M. Yamamoto, On Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations, UTMS 98-46. [Google Scholar]
  23. A.N. Kolmogorov and S.V. Fomin, Introductory real analysis. Dover Publications, INC, New York (1996). [Google Scholar]
  24. O.A. Ladyzenskaja and N.N. Ural'ceva, Linear and quasilinear equations of elliptic type. Academic Press, New York (1968). [Google Scholar]
  25. J.L. Lions, Contrôle des systèmes distribués singuliers. Gauthier-Villars, Paris (1983). [Google Scholar]
  26. J.L. Lions, Optimal control of systems governed by partial differential equations. Springer-Verlag (1971). [Google Scholar]
  27. J.-L. Lions, Are there connections between turbulence and controllability?, in 9e Conférence internationale de l'INRIA. Antibes (1990). [Google Scholar]
  28. J.-L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems. Springer-Verlag, Berlin (1971). [Google Scholar]
  29. M. Taylor, Pseudodifferential operators. Princeton Univ. Press (1981). [Google Scholar]
  30. M. Taylor, Pseudodifferential operators and Nonlinear PDE. Birkhäuser (1991). [Google Scholar]
  31. R. Temam, Navier-Stokes equations. North-Holland Publishing Company, Amsterdam (1979). [Google Scholar]

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