Issue |
ESAIM: COCV
Volume 5, 2000
|
|
---|---|---|
Page(s) | 1 - 44 | |
DOI | https://doi.org/10.1051/cocv:2000100 | |
Published online | 15 August 2002 |
Exact boundary controllability of 3-D Euler equation
Université Paris-Sud, Analyse numérique et EDP,
91405 Orsay, France; Olivier.Glass@math.u-psud.fr.
Received:
16
December
1998
Revised:
29
March
1999
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.
Résumé
Nous prouvons la contrôlabilité exacte frontière de l'équation d'Euler des fluides parfaits incompressibles tridimensionnels dans un domaine borné et régulier, lorsque le contrôle opère sur une partie ouverte du bord qui en rencontre toutes les composantes connexes.
Mathematics Subject Classification: 93B05 / 35Q30 / 76C99 / 93C20
Key words: Controllability / boundary control / Euler equation for ideal incompressible fluids.
© EDP Sciences, SMAI, 2000
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