Stabilization of a coupled multidimensional system.

Serge Nicaise; Abdoulaye Sène

Revista Matemática Complutense (2006)

  • Volume: 19, Issue: 2, page 277-296
  • ISSN: 1139-1138

Abstract

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We introduce a model of a vibrating multidimensional structure made of a n-dimensional body and a one-dimensional rod. We actually consider the anisotropic elastodynamic system in the n-dimensional body and the Euler-Bernouilli beam in the one-dimensional rod. These equations are coupled via their boundaries. Using appropriate feedbacks on a part of the boundary we show the exponential decay of the energy of the system.

How to cite

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Nicaise, Serge, and Sène, Abdoulaye. "Stabilization of a coupled multidimensional system.." Revista Matemática Complutense 19.2 (2006): 277-296. <http://eudml.org/doc/41902>.

@article{Nicaise2006,
abstract = {We introduce a model of a vibrating multidimensional structure made of a n-dimensional body and a one-dimensional rod. We actually consider the anisotropic elastodynamic system in the n-dimensional body and the Euler-Bernouilli beam in the one-dimensional rod. These equations are coupled via their boundaries. Using appropriate feedbacks on a part of the boundary we show the exponential decay of the energy of the system.},
author = {Nicaise, Serge, Sène, Abdoulaye},
journal = {Revista Matemática Complutense},
keywords = {Problemas de valor de frontera; Elastodinámica; Teoría de sistemas; multidimensional structures; stabilization; exponential decay},
language = {eng},
number = {2},
pages = {277-296},
title = {Stabilization of a coupled multidimensional system.},
url = {http://eudml.org/doc/41902},
volume = {19},
year = {2006},
}

TY - JOUR
AU - Nicaise, Serge
AU - Sène, Abdoulaye
TI - Stabilization of a coupled multidimensional system.
JO - Revista Matemática Complutense
PY - 2006
VL - 19
IS - 2
SP - 277
EP - 296
AB - We introduce a model of a vibrating multidimensional structure made of a n-dimensional body and a one-dimensional rod. We actually consider the anisotropic elastodynamic system in the n-dimensional body and the Euler-Bernouilli beam in the one-dimensional rod. These equations are coupled via their boundaries. Using appropriate feedbacks on a part of the boundary we show the exponential decay of the energy of the system.
LA - eng
KW - Problemas de valor de frontera; Elastodinámica; Teoría de sistemas; multidimensional structures; stabilization; exponential decay
UR - http://eudml.org/doc/41902
ER -

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