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Control of the surface of a fluid by a wavemaker

Published online by Cambridge University Press:  15 June 2004

Lionel Rosier
Lionel Rosier*
Affiliation:
Institut Elie Cartan, Université Henri Poincaré Nancy 1, BP 239, 54506 Vandœuvre-lès-Nancy Cedex, France; [email protected].
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Abstract

The control of the surface of water in a long canal bymeans of a wavemaker is investigated. The fluid motion is governed by the Korteweg-de Vries equation in Lagrangian coordinates.The null controllability of the elevation of the fluid surface is obtained thanks to a Carleman estimate and some weighted inequalities. The global uncontrollability is also established.

Keywords

Korteweg-de Vries equationLagrangian coordinatesexact boundary controllabilityCarleman estimate.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 10 , Issue 3 , July 2004 , pp. 346 - 380
Copyright
© EDP Sciences, SMAI, 2004

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