Full paper in PDF:
$% R. Bey, A. Heminna, and J.-P. Lohéac, Boundary stabilization of the linear
elastodynamic system by a Lyapunov-type method, Rev. Mat. Complut. 16 (2003),
417–441.%$
Boundary Stabilization of the Linear Elastodynamic System by a Lyapunov-Type Method
(1) École Central de Lyon Département de Mathématiques et Informatique - B.P. 163 C.N.R.S. U.M.R. 5585 69131 Écully Cedex — France | (2) U.S.T.H.B., Institut de Mathématiques B.P. 32 El-Alia |
We propose a direct approach to obtain the boundary stabilization of the isotropic linear elastodynamic system by a “natural” feedback; this method uses local coordinates in the expression of boundary integrals as a main tool. It leads to an explicit decay rate of the energy function and requires weak geometrical conditions: for example, the spatial domain can be the difference of two star-shaped sets.
Key words: elastodynamic system, boundary stabilization, feedback.
2000 Mathematics Subject Classification: 93D15, 74B05, 93B03, 93B05.