Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations

Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations

We consider the backwards topological property of pullback attractors for the nonautonomous MHD equations. Under some backwards assumptions of the nonautonomous force, it is shown that the theoretical existence result for such an attractor is derived from an increasing, bounded pullback absorbing an...

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Main Authors: Jiali Yu, Wenhuo Su, Dongmei Xu
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2018/4948301
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spelling doaj-b9c50ebf825a4abe8e597d4a0edf03782020-11-24T22:14:51ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/49483014948301Backwards Asymptotically Autonomous Dynamics for 2D MHD EquationsJiali Yu0Wenhuo Su1Dongmei Xu2School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaCenter of Applied Mathematics, Yichun University, Yichun 336000, ChinaSchool of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, ChinaWe consider the backwards topological property of pullback attractors for the nonautonomous MHD equations. Under some backwards assumptions of the nonautonomous force, it is shown that the theoretical existence result for such an attractor is derived from an increasing, bounded pullback absorbing and the backwards pullback flattening property. Meanwhile, some abstract results on the convergence of nonautonomous pullback attractors in asymptotically autonomous problems are established and applied to MHD equations.http://dx.doi.org/10.1155/2018/4948301
collection DOAJ
language English
format Article
sources DOAJ
author Jiali Yu
Wenhuo Su
Dongmei Xu
spellingShingle Jiali Yu
Wenhuo Su
Dongmei Xu
Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations
Discrete Dynamics in Nature and Society
author_facet Jiali Yu
Wenhuo Su
Dongmei Xu
author_sort Jiali Yu
title Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations
title_short Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations
title_full Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations
title_fullStr Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations
title_full_unstemmed Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations
title_sort backwards asymptotically autonomous dynamics for 2d mhd equations
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2018-01-01
description We consider the backwards topological property of pullback attractors for the nonautonomous MHD equations. Under some backwards assumptions of the nonautonomous force, it is shown that the theoretical existence result for such an attractor is derived from an increasing, bounded pullback absorbing and the backwards pullback flattening property. Meanwhile, some abstract results on the convergence of nonautonomous pullback attractors in asymptotically autonomous problems are established and applied to MHD equations.
url http://dx.doi.org/10.1155/2018/4948301
work_keys_str_mv AT jialiyu backwardsasymptoticallyautonomousdynamicsfor2dmhdequations
AT wenhuosu backwardsasymptoticallyautonomousdynamicsfor2dmhdequations
AT dongmeixu backwardsasymptoticallyautonomousdynamicsfor2dmhdequations
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