On the exponential decay of vibrations of damped elastic media
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We consider a homogenized system of equations used as a macroscopic model of nonstationary vibrations of an elastic medium containing a large number of small cavities filled with viscous incompressible liquid (damped elastic medium). It is shown that the solution of the initial-boundary-value problem for this system in a bounded domain Ω approaches zero in the metric of L 2(Ω) as an exponential function of time.
KeywordsExponential Decay Vector Function Bilinear Form Elastic Medium Elasticity Tensor
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