On localized Kelvin‐Voigt damping

Source abstract

Abstract We consider one‐dimensional wave propagation through two layers consisting, respectively, of an elastic and a viscoelastic medium. The viscoelastic medium is of Kelvin‐Voigt type. We assume that the material coefficients change smoothly without a discontinuity near the interface. It is proved that the decay rate of high frequency modes tends to infinity with frequency.