Local exact controllability for the 1 -d compressible Navier-Stokes equations

Sylvain Ervedoza[1]

  • [1] CNRS Institut de Mathématiques de Toulouse UMR 5219 F-31062 Toulouse France Université de Toulouse UPS, INSA, INP, ISAE, UT1, UTM, IMT F-31062 Toulouse France

Séminaire Laurent Schwartz — EDP et applications (2011-2012)

  • Volume: 2011-2012, page 1-14
  • ISSN: 2266-0607

Abstract

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In this talk, I will present a recent result obtained in [6] with O. Glass, S. Guerrero and J.-P. Puel on the local exact controllability of the 1 -d compressible Navier-Stokes equations. The goal of these notes is to give an informal presentation of this article and we refer the reader to it for extensive details.

How to cite

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Ervedoza, Sylvain. "Local exact controllability for the $1$-d compressible Navier-Stokes equations." Séminaire Laurent Schwartz — EDP et applications 2011-2012 (2011-2012): 1-14. <http://eudml.org/doc/251153>.

@article{Ervedoza2011-2012,
abstract = {In this talk, I will present a recent result obtained in [6] with O. Glass, S. Guerrero and J.-P. Puel on the local exact controllability of the $1$-d compressible Navier-Stokes equations. The goal of these notes is to give an informal presentation of this article and we refer the reader to it for extensive details.},
affiliation = {CNRS Institut de Mathématiques de Toulouse UMR 5219 F-31062 Toulouse France Université de Toulouse UPS, INSA, INP, ISAE, UT1, UTM, IMT F-31062 Toulouse France},
author = {Ervedoza, Sylvain},
journal = {Séminaire Laurent Schwartz — EDP et applications},
keywords = {exact controllability; compressible Navier-Stokes equations},
language = {eng},
pages = {1-14},
publisher = {Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Local exact controllability for the $1$-d compressible Navier-Stokes equations},
url = {http://eudml.org/doc/251153},
volume = {2011-2012},
year = {2011-2012},
}

TY - JOUR
AU - Ervedoza, Sylvain
TI - Local exact controllability for the $1$-d compressible Navier-Stokes equations
JO - Séminaire Laurent Schwartz — EDP et applications
PY - 2011-2012
PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2011-2012
SP - 1
EP - 14
AB - In this talk, I will present a recent result obtained in [6] with O. Glass, S. Guerrero and J.-P. Puel on the local exact controllability of the $1$-d compressible Navier-Stokes equations. The goal of these notes is to give an informal presentation of this article and we refer the reader to it for extensive details.
LA - eng
KW - exact controllability; compressible Navier-Stokes equations
UR - http://eudml.org/doc/251153
ER -

References

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  6. S. Ervedoza, O. Glass, S. Guerrero, and J.-P. Puel. Local exact controllability for the 1 -D compressible Navier Stokes equation. Arch. Ration. Mech. Anal., to appear. Zbl06102063MR2968594
  7. E. Fernández-Cara, S. Guerrero, O. Yu. Imanuvilov, and J.-P. Puel. Local exact controllability of the Navier-Stokes system. J. Math. Pures Appl. (9), 83(12):1501–1542, 2004. Zbl1267.93020MR2103189
  8. A. V. Fursikov and O. Y. Imanuvilov. Controllability of evolution equations, volume 34 of Lecture Notes Series. Seoul National University Research Institute of Mathematics Global Analysis Research Center, Seoul, 1996. Zbl0862.49004MR1406566
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  14. O. Y. Imanuvilov and J.-P. Puel. On global controllability of 2-D Burgers equation. Discrete Contin. Dyn. Syst., 23(1-2):299–313, 2009. Zbl1158.93007MR2449080
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  16. P. Martin, L. Rosier, and P. Rouchon. Null-controllability of a structurally damped wave equation with moving point control. Submitted, 2012. Zbl1304.35619
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  19. L. Rosier and P. Rouchon. On the controllability of a wave equation with structural damping. Int. J. Tomogr. Stat., 5(W07):79–84, 2007. MR2393756

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