On the exponential decay of vibrations of damped elastic media

  • M. V. Goncharenko
  • E. Ya. Khruslov Физ.-техн. ин-т низких температур НАН Украины, Харьков


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.
How to Cite
Goncharenko, M. V., and E. Y. Khruslov. “On the Exponential Decay of Vibrations of Damped Elastic Media”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 11, Nov. 2011, pp. 1443-59, https://umj.imath.kiev.ua/index.php/umj/article/view/2817.
Research articles