Control of the surface of a fluid by a wavemaker
Institut Elie Cartan, Université Henri Poincaré Nancy 1,
BP 239, 54506 Vandœuvre-lès-Nancy Cedex, France; email@example.com.
Revised: 12 November 2003
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.
Mathematics Subject Classification: 35B37 / 49J20 / 76B15 / 93B05 / 93C20
Key words: Korteweg-de Vries equation / Lagrangian coordinates / exact boundary controllability / Carleman estimate.
© EDP Sciences, SMAI, 2004