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

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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},
     pages = {346--380},
     publisher = {EDP-Sciences},
     volume = {10},
     number = {3},
     year = {2004},
     doi = {10.1051/cocv:2004012},
     mrnumber = {2084328},
     zbl = {1094.93014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004012/}
}
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Rosier, Lionel. Control of the surface of a fluid by a wavemaker. ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 3, pp. 346-380. doi: 10.1051/cocv:2004012

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