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2014 Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties
R. F. C. Lobato, S. M. S. Cordeiro, M. L. Santos, D. S. Almeida Júnior
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/897080

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.

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R. F. C. Lobato. S. M. S. Cordeiro. M. L. Santos. D. S. Almeida Júnior. "Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/897080

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131956
MathSciNet: MR3246435
Digital Object Identifier: 10.1155/2014/897080

Rights: Copyright © 2014 Hindawi

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