Stabilization of weakly coupled viscoelastic Kirchhoff plate and wave equations
Analysis of PDEs
2023-03-17 v2
Abstract
In this paper, we consider a weakly coupled system consisting of a viscoelastic Kirchhoff plate equation involving free boundary conditions and the viscoelastic wave equation with Dirichlet boundary conditions in a bounded domain. By assuming a more general type of relaxation functions, we establish explicit and general decay rate results, using the multiplier method and some properties of the convex functions.
Keywords
Cite
@article{arxiv.2211.10329,
title = {Stabilization of weakly coupled viscoelastic Kirchhoff plate and wave equations},
author = {Zayd Hajjej and Mohammad Akil and Mohamed Balegh and Marcelo Cavalcanti},
journal= {arXiv preprint arXiv:2211.10329},
year = {2023}
}
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