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Acta Applicandae Mathematica

, Volume 50, Issue 3, pp 207–224 | Cite as

Uniform Rates of Decay in Anisotropic Thermo-Viscoelasticity

  • Jaime E. Muñoz Rivera
  • Rioco Kamei Barreto
Article

Abstract

We consider the anisotropic and inhomogeneous thermo-viscoelastic equation. We prove that the first and second-order energy decay exponentially as time goes to infinity provided the relaxation function also decays exponentially to zero. While if the relaxation functions decay polynomially to zero, then the energy decays also polynomially. That is, the kernel of the convolution defines the rate of decay of the solution.

viscoelasticity exponential decay initial boundary-value problems 

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Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • Jaime E. Muñoz Rivera
    • 1
    • 2
  • Rioco Kamei Barreto
    • 3
  1. 1.Department of Research and DevelopmentNational Laboratory for Scientific ComputationRio de Janeiro, RJBrasil
  2. 2.IM, Federal University of Rio de JaneiroBrasil
  3. 3.Department of Mathematics ofFluminense UniversityRio de JaneiroBrasil

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