On the controllability and stabilization of the linearized Benjamin-Ono equation
Felipe Linares; Jaime H. Ortega
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 11, Issue: 2, page 204-218
- ISSN: 1292-8119
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topLinares, Felipe, and Ortega, Jaime H.. "On the controllability and stabilization of the linearized Benjamin-Ono equation." ESAIM: Control, Optimisation and Calculus of Variations 11.2 (2010): 204-218. <http://eudml.org/doc/90761>.
@article{Linares2010,
abstract = {
In this work we are interested in the study of controllability and
stabilization of the linearized Benjamin-Ono equation with
periodic boundary conditions, which is a generic model for the
study of weakly nonlinear waves with nonlocal dispersion. It is
well known that the Benjamin-Ono equation has infinite number of
conserved quantities, thus we consider only controls acting in the
equation such that the volume of the solution is conserved. We
study also the stabilization with a feedback law which gives us an
exponential decay of the solutions.
},
author = {Linares, Felipe, Ortega, Jaime H.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {exact controllability; stabilization; Benjamin-Ono
equation; dispersive equation.; Benjamin-Ono equation; dispersive equation},
language = {eng},
month = {3},
number = {2},
pages = {204-218},
publisher = {EDP Sciences},
title = {On the controllability and stabilization of the linearized Benjamin-Ono equation},
url = {http://eudml.org/doc/90761},
volume = {11},
year = {2010},
}
TY - JOUR
AU - Linares, Felipe
AU - Ortega, Jaime H.
TI - On the controllability and stabilization of the linearized Benjamin-Ono equation
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 11
IS - 2
SP - 204
EP - 218
AB -
In this work we are interested in the study of controllability and
stabilization of the linearized Benjamin-Ono equation with
periodic boundary conditions, which is a generic model for the
study of weakly nonlinear waves with nonlocal dispersion. It is
well known that the Benjamin-Ono equation has infinite number of
conserved quantities, thus we consider only controls acting in the
equation such that the volume of the solution is conserved. We
study also the stabilization with a feedback law which gives us an
exponential decay of the solutions.
LA - eng
KW - exact controllability; stabilization; Benjamin-Ono
equation; dispersive equation.; Benjamin-Ono equation; dispersive equation
UR - http://eudml.org/doc/90761
ER -
References
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