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Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations

We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms. Under some regular assumptions, we can prove the pullback attractors 𝒜 ( ε )(t) of equation [Formula: see text] , x ∈ Ω, converge to the glob...

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Detalles Bibliográficos
Autores principales: Yang, Xinguang, Wang, Xiaosong, Li, Juntao, Zhang, Lingrui
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3984875/
https://www.ncbi.nlm.nih.gov/pubmed/24790585
http://dx.doi.org/10.1155/2014/853139
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author Yang, Xinguang
Wang, Xiaosong
Li, Juntao
Zhang, Lingrui
author_facet Yang, Xinguang
Wang, Xiaosong
Li, Juntao
Zhang, Lingrui
author_sort Yang, Xinguang
collection PubMed
description We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms. Under some regular assumptions, we can prove the pullback attractors 𝒜 ( ε )(t) of equation [Formula: see text] , x ∈ Ω, converge to the global attractor 𝒜 of the above-mentioned equation with ε = 0 for any t ∈ ℝ.
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spelling pubmed-39848752014-04-30 Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations Yang, Xinguang Wang, Xiaosong Li, Juntao Zhang, Lingrui ScientificWorldJournal Research Article We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms. Under some regular assumptions, we can prove the pullback attractors 𝒜 ( ε )(t) of equation [Formula: see text] , x ∈ Ω, converge to the global attractor 𝒜 of the above-mentioned equation with ε = 0 for any t ∈ ℝ. Hindawi Publishing Corporation 2014-03-26 /pmc/articles/PMC3984875/ /pubmed/24790585 http://dx.doi.org/10.1155/2014/853139 Text en Copyright © 2014 Xinguang Yang et al. https://creativecommons.org/licenses/by/3.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Yang, Xinguang
Wang, Xiaosong
Li, Juntao
Zhang, Lingrui
Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations
title Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations
title_full Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations
title_fullStr Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations
title_full_unstemmed Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations
title_short Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations
title_sort upper semicontinuity of pullback attractors for the 3d nonautonomous benjamin-bona-mahony equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3984875/
https://www.ncbi.nlm.nih.gov/pubmed/24790585
http://dx.doi.org/10.1155/2014/853139
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