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. © 2004 EDP Sciences, SMAI.
CITATION STYLE
Rosier, L. (2004). Control of the surface of a fluid by a wavemaker. ESAIM - Control, Optimisation and Calculus of Variations, 10(3), 346–380. https://doi.org/10.1051/cocv:2004012
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