Global attractors for a partially damped Timoshenko–Ehrenfest system without the hypothesis of equal wave speeds-Reference-Cited by-同舟云学术

Global attractors for a partially damped Timoshenko–Ehrenfest system without the hypothesis of equal wave speeds

Published:2023-10-06 Issue:1-2 Volume:135 Page:1-23
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Freitas M.M.¹,Almeida Júnior D.S.²,Miranda L.G.R.¹,Ramos A.J.A.¹,Caljaro R.Q.²

Affiliation:

1. Faculty of Mathematics, Federal University of Pará, Raimundo Santana Street, s/n, 68721-000, Salinópolis – Pa, Brazil

2. PhD Program in Mathematics, Federal University of Pará, Augusto Corrêa Street 01, 66075-110, Belém – Pa, Brazil

Abstract

This paper is concerned with the study of global attractors for a new semilinear Timoshenko–Ehrenfest type system. Firstly we establish the well-posedness of the system using Faedo–Galerkin method. By considering only one damping term acting on the vertical displacement, we prove the existence of a smooth finite dimensional global attractor using the recent quasi-stability theory. Our results holds for any parameters of the system.

Publisher

IOS Press

Subject

General Mathematics

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