Control of the surface of a fluid by a wavemaker

Rosier, Lionel

doi:10.1051/cocv:2004012

Rosier, Lionel

ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 3, pp. 346-380.

Résumé

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.

MR Zbl | 6 citations dans Numdam

DOI : 10.1051/cocv:2004012

Classification : 35B37, 49J20, 76B15, 93B05, 93C20
Mots-clés : 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://www.numdam.org/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. http://www.numdam.org/articles/10.1051/cocv:2004012/

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