Stabilization for vibrating plate with singular structural damping
Analysis of PDEs
2019-06-02 v1
Abstract
We consider the dynamic elasticity equation, modeled by the Euler-Bernoulli plate equation, with a locally distributed singular structural (or viscoelastic ) damping in a boundary domain. Using a frequency domain method combined, based on the Burq's result, combined with an estimate of Carleman type we provide precise decay estimate showing that the energy of the system decays logarithmically as the type goes to the infinity.
Cite
@article{arxiv.1905.13089,
title = {Stabilization for vibrating plate with singular structural damping},
author = {Kaïs Ammari and Fathi Hassine and Luc Robbiano},
journal= {arXiv preprint arXiv:1905.13089},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1805.10430