Department of Mathematics, Federal University of Pará, Augusto Corrêa Street no. 01, Belém, CEP 66075-110, Pará, Brazil
Copyright © 2010 M. L. Santos and Dilberto da S. Almeida Júnior. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We consider the Bresse system with frictional dissipative terms acting in all the equations. We show the exponential decay of the solution by using a method developed by Z. Liu and S. Zheng and their collaborators in past years. The numerical computations were made by using the finite difference method to prove the theoretical results. In particular, the finite difference method in our case is locking free.