Volume 10, Number 3, July 2004
|Page(s)||346 - 380|
|Published online||15 June 2004|
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.