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

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 est...

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Autores principales:	Freitas M. M., Dos Santos M. J., Ramos A. J. A., Vinhote M. S., Santos M. L.
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	wave equations quasi-stable systems global attractor exponential attractor continuity of attractors 35b40 35b41 35l05 35l75 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/a8f4e09a2a5645e09192cf8ef15d5cf7
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spelling	oai:doaj.org-article:a8f4e09a2a5645e09192cf8ef15d5cf72021-12-05T14:10:56ZQuasi-stability and continuity of attractors for nonlinear system of wave equations2353-062610.1515/msds-2020-0125https://doaj.org/article/a8f4e09a2a5645e09192cf8ef15d5cf72021-04-01T00:00:00Zhttps://doi.org/10.1515/msds-2020-0125https://doaj.org/toc/2353-0626In 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.Freitas M. M.Dos Santos M. J.Ramos A. J. A.Vinhote M. S.Santos M. L.De Gruyterarticlewave equationsquasi-stable systemsglobal attractorexponential attractorcontinuity of attractors35b4035b4135l0535l75MathematicsQA1-939ENNonautonomous Dynamical Systems, Vol 8, Iss 1, Pp 27-45 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	wave equations quasi-stable systems global attractor exponential attractor continuity of attractors 35b40 35b41 35l05 35l75 Mathematics QA1-939
spellingShingle	wave equations quasi-stable systems global attractor exponential attractor continuity of attractors 35b40 35b41 35l05 35l75 Mathematics QA1-939 Freitas M. M. Dos Santos M. J. Ramos A. J. A. Vinhote M. S. Santos M. L. Quasi-stability and continuity of attractors for nonlinear system of wave equations
description	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.
format	article
author	Freitas M. M. Dos Santos M. J. Ramos A. J. A. Vinhote M. S. Santos M. L.
author_facet	Freitas M. M. Dos Santos M. J. Ramos A. J. A. Vinhote M. S. Santos M. L.
author_sort	Freitas M. M.
title	Quasi-stability and continuity of attractors for nonlinear system of wave equations
title_short	Quasi-stability and continuity of attractors for nonlinear system of wave equations
title_full	Quasi-stability and continuity of attractors for nonlinear system of wave equations
title_fullStr	Quasi-stability and continuity of attractors for nonlinear system of wave equations
title_full_unstemmed	Quasi-stability and continuity of attractors for nonlinear system of wave equations
title_sort	quasi-stability and continuity of attractors for nonlinear system of wave equations
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/a8f4e09a2a5645e09192cf8ef15d5cf7
work_keys_str_mv	AT freitasmm quasistabilityandcontinuityofattractorsfornonlinearsystemofwaveequations AT dossantosmj quasistabilityandcontinuityofattractorsfornonlinearsystemofwaveequations AT ramosaja quasistabilityandcontinuityofattractorsfornonlinearsystemofwaveequations AT vinhotems quasistabilityandcontinuityofattractorsfornonlinearsystemofwaveequations AT santosml quasistabilityandcontinuityofattractorsfornonlinearsystemofwaveequations
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Quasi-stability and continuity of attractors for nonlinear system of wave equations

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