A regular and compactly supported initial disturbance propagates in a homogeneous isotropic and linearized viscoelastic medium. The elasticities of the medium exhibit a simple exponential decay in time. General expressions for the energies are obtained and the decay and equipartition of the kinetic and strain energies, for both the longitudinal as well as the transverse wave, are demonstrated.
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Dassios et al. (1990) studied this question.