@article{Zhou2024, 
author = {Quan Zhou and Yang Liu and Dong Yang},
title = {Global attractors for a class of viscoelastic plate equations with past history},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {24887-24907},
keywords = {viscoelastic plate equations, past history, global attractors, gradient dynamical system, quasi-stability},
url = {https://www.sciopen.com/article/10.3934/math.20241212},
doi = {10.3934/math.20241212},
abstract = {This paper is concerned with a class of viscoelastic plate equations with past history. We first transform the original initial-boundary value problem into an equivalent one by means of the history space framework. Then we use the perturbed energy method to establish a stabilizability estimate. By employing the gradient property and quasi-stability of the dynamical system, we obtain the existence of a global attractor with finite fractal dimension.}
}