Global attractors for a class of viscoelastic plate equations with past history-Reference-Cited by-同舟云学术

Global attractors for a class of viscoelastic plate equations with past history

Published:2024 Issue:9 Volume:9 Page:24887-24907
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Zhou Quan¹,Liu Yang¹,Yang Dong²

Affiliation:

1. College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China

2. College of Creative Design, Chongqing City Vocational College, Chongqing 402160, China

Abstract

<p>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.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

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