@article{Goncharenko_Khruslov_2011, title={On the exponential decay of vibrations of damped elastic media}, volume={63}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2817}, abstractNote={We consider a homogenized system of equations that is a macroscopic model of nonstationary vibrations of an elastic medium with a large number of small cavities filled with viscous incompressible liquid (wet elastic medium). It is proved that the solution of the initial boundary-value problem for this system in a bounded domain $\Omega$ tends to zero in the metric of $L_2(\Omega)$ exponentially with time.}, number={11}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Goncharenko, M. V. and Khruslov, E. Ya.}, year={2011}, month={Nov.}, pages={1443-1459} }