Full paper in PDF:
$% S. Nicaise and A.
Sène, Stabilization of a coupled multidimensional system, Rev. Mat. Complut. 19 (2006), no. 2,
277–296.%$
Université de Valenciennes et du Hainaut Cambrésis MACS, Institut des Sciences et Techniques F-59313 Valenciennes Cedex 9 — France | Université Cheikh Anta DIOP Département de Mathématiques Faculté des Sciences et Techniques Dakar — Sénégal |
ABSTRACT
We introduce a model of a vibrating multidimensional structure made of
a
-dimensional body and a one-dimensional rod. We actually consider
the anisotropic elastodynamic system in the
-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.
Key words: multidimensional structures, stabilization, exponential decay.
2000 Mathematics Subject Classication: 93D15, 93B05, 93C20.