Exact boundary controllability of 3-D Euler equation
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 5, page 1-44
- ISSN: 1292-8119
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topGlass, Olivier. "Exact boundary controllability of 3-D Euler equation." ESAIM: Control, Optimisation and Calculus of Variations 5 (2010): 1-44. <http://eudml.org/doc/197362>.
@article{Glass2010,
abstract = {
We prove the exact boundary controllability of the 3-D Euler equation
of incompressible inviscid fluids on a regular connected bounded open set when the
control operates on an open part of the boundary that
meets any of the connected components of the boundary.
},
author = {Glass, Olivier},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Controllability; boundary control; Euler equation for ideal incompressible fluids.; boundary controllability; exact controllability; control of fluid flow; 3-D Euler equation},
language = {eng},
month = {3},
pages = {1-44},
publisher = {EDP Sciences},
title = {Exact boundary controllability of 3-D Euler equation},
url = {http://eudml.org/doc/197362},
volume = {5},
year = {2010},
}
TY - JOUR
AU - Glass, Olivier
TI - Exact boundary controllability of 3-D Euler equation
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 5
SP - 1
EP - 44
AB -
We prove the exact boundary controllability of the 3-D Euler equation
of incompressible inviscid fluids on a regular connected bounded open set when the
control operates on an open part of the boundary that
meets any of the connected components of the boundary.
LA - eng
KW - Controllability; boundary control; Euler equation for ideal incompressible fluids.; boundary controllability; exact controllability; control of fluid flow; 3-D Euler equation
UR - http://eudml.org/doc/197362
ER -
References
top- C. Bardos and U. Frisch, Finite-time regularity for bounded and unbounded ideal incompressible fluids using Hölder estimates, in Proceedings of the conference held at the university of Paris-Sud Orsay, France. Springer-Verlag, Lectures Notes in Math.565 (1975) 1-13.
- J.-M. Coron, Global Asymptotic Stabilization for controllable systems without drift. Math. Control Signals Systems5 (1992) 295-312.
- 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.
- J.-M. Coron, On the controllability of 2-D incompressible perfect fluids. J. Math. Pures Appl.75 (1996) 155-188.
- J.-M. Coron, On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions. ESAIM Control Optim. Calc. Var.1 (1996) 35-75. http://www.emath.fr/cocv/.
- O. Glass, Exact boundary controllability of 3-D Euler equation of perfect incompressible fluids. C. R. Acad. Sci. Paris Sér. I Math.325 (1997) 987-992.
- O. Glass, Contrôlabilité de l'équation d'Euler tridimensionnelle pour les fluides parfaits incompressibles, Séminaire Équations aux Dérivées Partielles, 1997-1998, École polytechnique, Centre de Mathématiques, exposé XV.
- P. Hermann and H. Kersten, Über die stetige Abhängigkeit der Lösung des Neumann-Problems für die Prae-Maxwellschen Gleichungen von ihren Randdaten. Arch. Math. (Basel)36 (1981) 79-82.
- A.V. Kazhikov, Note on the formulation of the problem of flow through a bounded region using equations of perfect fluid. PMM USSR44 (1981) 672-674.
- J.-L. Lions, Are there connections between turbulence and controllability?, 9th INRIA International Conference, Antibes (June 12-15, 1990).
- R. Temam, Navier-Stokes equations and numerical analysis. North-Holland Pub. (1979).
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