On the controllability of the burger equation

T. Horsin

ESAIM: Control, Optimisation and Calculus of Variations (1998)

  • Volume: 3, page 83-95
  • ISSN: 1292-8119

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Horsin, T.. "On the controllability of the burger equation." ESAIM: Control, Optimisation and Calculus of Variations 3 (1998): 83-95. <http://eudml.org/doc/90535>.

@article{Horsin1998,
author = {Horsin, T.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Burger equation; controllability; linearization; variation of the domain},
language = {eng},
pages = {83-95},
publisher = {EDP Sciences},
title = {On the controllability of the burger equation},
url = {http://eudml.org/doc/90535},
volume = {3},
year = {1998},
}

TY - JOUR
AU - Horsin, T.
TI - On the controllability of the burger equation
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1998
PB - EDP Sciences
VL - 3
SP - 83
EP - 95
LA - eng
KW - Burger equation; controllability; linearization; variation of the domain
UR - http://eudml.org/doc/90535
ER -

References

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  4. [4] J-M. Coron: On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions, ESAIM: Control, Optimisation and Caleulus of Variations, http://www.emath.fr/cocv/, 1, 1996, 35-75. Zbl0872.93040MR1393067
  5. [5] J.I. Diaz: Sobre la controlabilidad aproximada de problemas no lineales disipativos, proceedings of Jornadas Hispano-Francsas sobre Control de sistemas distribuidos, A. Valle ed., Univ. de Malága, 1990, 41-48. Zbl0752.49002MR1108869
  6. [6] C. Fabre, J-P. Puel, E. Zuazua: Contrôlabilité approchée de l'équation de la chaleur semilinaire, C.-R. Acad. Sci. Paris, 315, Série 1, 1992, 807-812. Zbl0770.35009MR1184907
  7. [7] C. Fabre, J-P. Puel, E. Zuazua: Approximate Controllability of the semilinear heat equation, Proc. of the Royal Soc. of Edinburgh, 125A, 1995, 31-61. Zbl0818.93032MR1318622
  8. [8] A. Fursikov, O. Yu. Imanuvilov: On controllability of certain systems simulating a fluid flow, IMA vol. in Math. and its Appl. Flow Control, M.D. Gunzburger ed., Springer Verlag, New York, 68, 1994. Zbl0922.93006MR1348646
  9. [9] A. Fursikov, O. Yu. Imanuvilov: Controllability of evolution equations, Lecture Notes Series 34, Res. Imst., Math. GARC, Seoul National University, 1996. Zbl0862.49004MR1406566
  10. [10] M. Gisclon: Etude des conditions aux limites pour des systèmes strictement hyperboliques, via l'approximation parabolique, Thèse de l'université Lyon I, 1996. Zbl0869.35061
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  12. [12] P.D. Lax: Hyperbolic systems of conservation laws and the mathematical theory of shock waves, Regional Conference Series in Applied Mathematics, 11, SIAM: Philadelphia, 1973. Zbl0268.35062MR350216
  13. [13] P. Le Floch: Explicit Formula for Scalar Nonlinear Conservation Laws with boundary condition, Math. Methods Appl. Sci., 10, 1988, 265-287. Zbl0679.35065MR949657
  14. [14] B.J. Lucier: Regularity through approximation for scalar conservation laws, SIAM J. Math. Anal., 19, 1988, 763-773. MR946641
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Citations in EuDML Documents

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  1. Giuseppe Maria Coclite, Problemi di controllo per sistemi di leggi di conservazione
  2. S. Guerrero, O. Yu. Imanuvilov, Remarks on global controllability for the Burgers equation with two control forces
  3. Olivier Glass, A controllability result for the 1 -D isentropic Euler equation
  4. Karine Beauchard, Controllability of Schrödinger equations
  5. Oleg Yu. Imanuvilov, Remarks on exact controllability for the Navier-Stokes equations
  6. Jean-Michel Coron, Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations
  7. Jean-Michel Coron, Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations
  8. Oleg Yu. Imanuvilov, Remarks on exact controllability for the Navier-Stokes equations
  9. Karine Beauchard, Controllability of a quantum particle in a 1D variable domain
  10. Thierry Horsin, Local exact lagrangian controllability of the Burgers viscous equation

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