# Control of the surface of a fluid by a wavemaker

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

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

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topRosier, 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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