Exact boundary controllability of 3-D Euler equation

Free access article

Issue		ESAIM: COCV Volume 5, 2000


Page(s)		1 - 44
DOI		10.1051/cocv:2000100

DOI: 10.1051/cocv:2000100

ESAIM: COCV, January 2000, Vol. 5, p. 1-44

Exact boundary controllability of 3-D Euler equation

Contrôlabilité exacte frontière de l'équation d'Euler des fluides parfaits incompressibles tridimensionels

Olivier Glass
Université Paris-Sud, Analyse numérique et EDP, 91405 Orsay, France (Olivier.Glass@math.u-psud.fr)

Received December 16, 1998. Revised March 29, 1999.

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.

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.

Keywords and phrases: Controllability, boundary control, Euler equation for ideal incompressible fluids.

AMS Subject Classification: 93B05, 35Q30, 76C99, 93C20

Article with figures.

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