Control of the surface of a fluid by a wavemaker
ESAIM: Control, Optimisation and Calculus of Variations, Volume 10 (2004) no. 3, pp. 346-380.

The control of the surface of water in a long canal by means 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.

DOI: 10.1051/cocv:2004012
Classification: 35B37,  49J20,  76B15,  93B05,  93C20
Keywords: Korteweg-de Vries equation, lagrangian coordinates, exact boundary controllability, Carleman estimate
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author = {Rosier, Lionel},
title = {Control of the surface of a fluid by a wavemaker},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
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Rosier, Lionel. Control of the surface of a fluid by a wavemaker. ESAIM: Control, Optimisation and Calculus of Variations, Volume 10 (2004) no. 3, pp. 346-380. doi : 10.1051/cocv:2004012. http://www.numdam.org/articles/10.1051/cocv:2004012/

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