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Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties

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  • R. F. C. Lobato
  • S. M. S. Cordeiro
  • M. L. Santos
  • D. S. Almeida Júnior

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.

Suggested Citation

  • R. F. C. Lobato & S. M. S. Cordeiro & M. L. Santos & D. S. Almeida Júnior, 2014. "Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:897080
    DOI: 10.1155/2014/897080
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    References listed on IDEAS

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    1. Mahmoud Najafi, 2001. "Study of exponential stability of coupled wave systems via distributed stabilizer," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 28, pages 1-13, January.
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