Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties. (22nd July 2014)

• Record Type: Journal Article
• Authors: Lobato, R. F. C.; Cordeiro, S. M. S.; Santos, M. L.; Júnior, D. S. Almeida
• Other Names: Barrio Roberto Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-07-22
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/897080
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : In this work we consider a coupled system of two weakly dissipative wave equations. We show that the solution of this system decays polynomially and the decay rate is optimal. Computational experiments are conducted in the one-dimensional case in order to show that the energies properties are preserved. In particular, we use finite differences and also spectral methods.