Quasi-stability and continuity of attractors for nonlinear system of wave equations-Reference-Cited by-同舟云学术

Quasi-stability and continuity of attractors for nonlinear system of wave equations

Published:2021-01-01 Issue:1 Volume:8 Page:27-45
ISSN:2353-0626
Container-title:Nonautonomous Dynamical Systems
language:en
Short-container-title:

Author:

Freitas M. M.¹,Dos Santos M. J.²,Ramos A. J. A.¹,Vinhote M. S.³,Santos M. L.³

Affiliation:

1. Faculty of Mathematics , Federal University of Pará , Raimundo Santana Cruz Street, S/N, 68721-000, Salinópolis, Pará , Brazil

2. Faculty of Exact Sciences and Technology , Federal University of Pará , Manoel de Abreu St, Abaetetuba, PA, 68440-000 , Brazil

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

Abstract

Abstract In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces. Using the recent approach by Chueshov and Lasiecka in [21], we prove that this dynamical system is quasi-stable by establishing a quasistability estimate, as consequence, the existence of global and exponential attractors is proved. Finally, we investigate the upper and lower semicontinuity of global attractors under autonomous perturbations.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/msds-2020-0125/pdf

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