Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties

被引：6

作者：

Lobato, R. F. C. ^{[1
]}

Cordeiro, S. M. S. ^{[1
]}

Santos, M. L. ^{[1
]}

Almeida Junior, D. S. ^{[1
]}

机构：

[1] Fed Univ Para, Dept Math, BR-66075110 Belem, Para, Brazil

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

关键词：

SYSTEM;

D O I：

10.1155/2014/897080

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：9

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