| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4615562 | Journal of Mathematical Analysis and Applications | 2015 | 27 Pages |
Abstract
In this paper, we study the indirect boundary stabilization of the Timoshenko system with only one dissipation law. This system, which models the dynamics of a beam, is a hyperbolic system with two wave speeds. Assuming that the wave speeds are equal, we prove non-uniform stability and an optimal polynomial energy decay rate is obtained. Otherwise, if the ratio of the wave speeds is a rational number, we show that the decay rate is of polynomial type.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Maya Bassam, Denis Mercier, Serge Nicaise, Ali Wehbe,