Control of the surface of a fluid by a wavemaker

Lionel Rosier

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 10, Issue: 3, page 346-380
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Rosier, Lionel. "Control of the surface of a fluid by a wavemaker." ESAIM: Control, Optimisation and Calculus of Variations 10.3 (2010): 346-380. <http://eudml.org/doc/90734>.

@article{Rosier2010,
abstract = { 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. },
author = {Rosier, Lionel},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Korteweg-de Vries equation; Lagrangian coordinates; exact boundary controllability; Carleman estimate.; exact boundary controllability; Carleman estimate},
language = {eng},
month = {3},
number = {3},
pages = {346-380},
publisher = {EDP Sciences},
title = {Control of the surface of a fluid by a wavemaker},
url = {http://eudml.org/doc/90734},
volume = {10},
year = {2010},
}

TY - JOUR
AU - Rosier, Lionel
TI - Control of the surface of a fluid by a wavemaker
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 10
IS - 3
SP - 346
EP - 380
AB - 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.
LA - eng
KW - Korteweg-de Vries equation; Lagrangian coordinates; exact boundary controllability; Carleman estimate.; exact boundary controllability; Carleman estimate
UR - http://eudml.org/doc/90734
ER -

References

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