Free Access
Volume 24, Number 1, January-March 2018
Page(s) 211 - 235
Published online 17 January 2018
  1. P. Albano and D. Tataru, Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system. Electron. J. Differ. Equ. 22 (2000) 15. [Google Scholar]
  2. E.V. Amosova, Exact local controllability for the equations of viscous gas dynamics. Differ. Uravneniya 47 (2011) 1754–1772. [Google Scholar]
  3. M. Badra, S. Ervedoza and S. Guerrero, Local controllability to trajectories for non-homogeneous incompressible Navier-Stokes equations. Ann. Inst. Henri Poincaré (C) Non Lin. Anal. (2014). [Google Scholar]
  4. D. Bresch and B. Desjardins, Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model. Commun. Math. Phys. 238 (2003) 211–223. [CrossRef] [Google Scholar]
  5. D. Bresch, B. Desjardins and C.-K. Lin, On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Commun. Partial Differ. Equ. 28 (2003) 843–868. [CrossRef] [Google Scholar]
  6. F.W. Chaves-Silva, L. Rosier and E. Zuazua, Null controllability of a system of viscoelasticity with a moving control. J. Math. Pures Appl. 101 (2014) 198–222. [CrossRef] [MathSciNet] [Google Scholar]
  7. S. Chowdhury, M. Debanjana, M. Ramaswamy and M. Renardy, Null controllability of the linearized compressible Navier Stokes system in one dimension. J. Differ. Equ. 257 (2014) 3813–3849. [CrossRef] [Google Scholar]
  8. S. Chowdhury, M. Ramaswamy and J.-P. Raymond, Controllability and stabilizability of the linearized compressible Navier-Stokes system in one dimension. SIAM J. Control Optim. 50 (2012) 2959–2987. [CrossRef] [MathSciNet] [Google Scholar]
  9. 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]
  10. J.-M. Coron, On the controllability of 2-D incompressible perfect fluids. J. Math. Pures Appl. 75 (1996) 155–188. [Google Scholar]
  11. J.-M. Coron, Control and nonlinearity, Vol. 136 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI (2007). [Google Scholar]
  12. J.-M. Coron and A.V. Fursikov, Global exact controllability of the 2D Navier-Stokes equations on a manifold without boundary. Russian J. Math. Phys. 4 (1996) 429–448. [MathSciNet] [Google Scholar]
  13. S. Ervedoza, O. Glass, S. Guerrero and J.-P. Puel, Local exact controllability for the one-dimensional compressible Navier-Stokes equation. Arch. Ration. Mech. Anal. 206 (2012) 189–238. [CrossRef] [MathSciNet] [Google Scholar]
  14. E. Fernández-Cara, S. Guerrero, O.Y. Imanuvilov and J.-P. Puel, Local exact controllability of the Navier-Stokes system. J. Math. Pures Appl. 83 (2004) 1501–1542. [CrossRef] [MathSciNet] [Google Scholar]
  15. A.V. Fursikov and O. Yu. Èmanuilov, Exact controllability of the Navier-Stokes and Boussinesq equations. Uspekhi Mat. Nauk 54 (1999) 93–146. [CrossRef] [Google Scholar]
  16. A.V. Fursikov and O.Y. Imanuvilov, Controllability of evolution equations, Vol. 34 of Lecture Notes Series. Seoul National University Research Institute of Mathematics Global Analysis Research Center, Seoul (1996). [Google Scholar]
  17. O. Glass, Exact boundary controllability of 3-D Euler equation. ESAIM: COCV 5 (2000) 1–44. [CrossRef] [EDP Sciences] [Google Scholar]
  18. O. Glass, On the controllability of the 1-D isentropic Euler equation. J. Eur. Math. Soc. (JEMS) 9 (2007) 427–486. [CrossRef] [Google Scholar]
  19. O. Glass, On the controllability of the non-isentropic 1-D Euler equation. J. Differ. Equ. 257 (2014) 638–719. [CrossRef] [Google Scholar]
  20. O.Y. Imanuvilov, Remarks on exact controllability for the Navier-Stokes equations. ESAIM: COCV 6 (2001) 39–72. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
  21. T.-T. Li and B.-P. Rao, Exact boundary controllability for quasi-linear hyperbolic systems. SIAM J. Control Optim. 41 (2003) 1748–1755. [CrossRef] [MathSciNet] [Google Scholar]
  22. D. Maity, Some controllability results for linearized compressible Navier-Stokes system. ESAIM: COCV 21 (2015) 1002–1028. [CrossRef] [EDP Sciences] [Google Scholar]
  23. P. Martin, L. Rosier and P. Rouchon, Null controllability of the structurally damped wave equation with moving control. SIAM J. Control Optim. 51 (2013) 660–684. [CrossRef] [MathSciNet] [Google Scholar]
  24. A. Matsumura and T. Nishida, The initial value problem for the equations of motion of viscous and heat-conductive gases. J. Math. Kyoto Univ. 20 (1980) 67–104. [CrossRef] [Google Scholar]
  25. L. Rosier and P. Rouchon, On the controllability of a wave equation with structural damping. Int. J. Tomogr. Stat. 5 (2007) 79–84. [MathSciNet] [Google Scholar]
  26. J. Simon, Compact sets in the space Lp(0,T;B). Ann. Mat. Pura Appl. 146 (1987) 65–96. [CrossRef] [MathSciNet] [Google Scholar]
  27. H. Triebel, Interpolation theory, function spaces, differential operators. North-Holland Publishing Co. Amsterdam New York (1978). [Google Scholar]

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