Global and exponential attractors for a nonlinear porous elastic system with delay term

Manoel J. Dos Santos; Baowei Feng; Dilberto S. Almeida Júnior; Mauro L. Santos

doi:10.3934/dcdsb.2020206

Article Contents

2021, Volume 26, Issue 5: 2805-2828. Doi: 10.3934/dcdsb.2020206

This issue Previous Article Numerical analysis and simulation of an adhesive contact problem with damage and long memory Next Article Wong-Zakai approximations and attractors for stochastic wave equations driven by additive noise

Global and exponential attractors for a nonlinear porous elastic system with delay term

1.
Faculty of Exact Sciences and Technology, Federal University of Pará, Manoel de Abreu St., Abaetetuba, Pará, 68440-000, Brazil
2.
Department of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, China
3.
PhD Program in Mathematics, Federal University of Pará, Augusto Corrêa St., 01, 66075-110, Belém - Pará - Brazil

^* Corresponding author: Manoel J. Dos Santos
^* Corresponding author: Manoel J. Dos Santos

Received: July 2019

Revised: May 2020

Early access: July 2020

Published: May 2021

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Abstract

This paper is concerned with the study on the existence of attractors for a nonlinear porous elastic system subjected to a delay-type damping in the volume fraction equation. The study will be performed, from the point of view of quasi-stability for infinite dimensional dynamical systems and from then on we will have the result of the existence of global and exponential attractors.

Keywords:

Mathematics Subject Classification: Primary: 35B40, 35B41, 35L53; Secondary: 74K10, 93D20.

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References

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