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carleman estimate.

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Control of the surface of a fluid by a wavemaker
Lionel Rosier
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 10 / Issue 3 / July 2004

Published online by Cambridge University Press:

15 June 2004, pp. 346-380

Print publication:

July 2004
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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.