Journal of Applied Mathematics
Volume 2010 (2010), Article ID 848620, 17 pages
doi:10.1155/2010/848620
Research Article

Numerical Exponential Decay to Dissipative Bresse System

M. L. Santos and Dilberto da S. Almeida Júnior

Department of Mathematics, Federal University of Pará, Augusto Corrêa Street no. 01, Belém, CEP 66075-110, Pará, Brazil

Received 18 February 2010; Revised 25 May 2010; Accepted 24 June 2010

Academic Editor: Wan Tong Li

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.

Abstract

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.