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The Transmission Problem of Viscoelastic Waves

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Abstract

In this paper we consider the transmission problem of viscoelastic waves. That is, we study the wave propagations over materials consisting of elastic and viscoelastic components. We show that for this types of materials the dissipation produced by the viscoelastic part is strong enough to produce exponential decay of the solution, no matter how small is its size. We also show that the linear model is well posed.

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Authors and Affiliations

  1. National Laboratory for Scientific Computation, LNCC, Rua Getulio Vargas 333, 25651-70, Rio De Janeiro, Brazil

    Jaime E. Muñoz Rivera & Higidio Portillo Oquendo

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  1. Jaime E. Muñoz Rivera
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  2. Higidio Portillo Oquendo
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Muñoz Rivera, J.E., Oquendo, H.P. The Transmission Problem of Viscoelastic Waves. Acta Applicandae Mathematicae 62, 1–21 (2000). https://doi.org/10.1023/A:1006449032100

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