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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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/4948301 |
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| _version_ | 1832566780886777856 |
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| author | Jiali Yu Wenhuo Su Dongmei Xu |
| author_facet | Jiali Yu Wenhuo Su Dongmei Xu |
| author_sort | Jiali Yu |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-b9c50ebf825a4abe8e597d4a0edf0378 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b9c50ebf825a4abe8e597d4a0edf03782025-02-03T01:03:13ZengWileyDiscrete 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 |
| spellingShingle | Jiali Yu Wenhuo Su Dongmei Xu Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations Discrete Dynamics in Nature and Society |
| title | 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_short | Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations |
| title_sort | backwards asymptotically autonomous dynamics for 2d mhd equations |
| url | http://dx.doi.org/10.1155/2018/4948301 |
| work_keys_str_mv | AT jialiyu backwardsasymptoticallyautonomousdynamicsfor2dmhdequations AT wenhuosu backwardsasymptoticallyautonomousdynamicsfor2dmhdequations AT dongmeixu backwardsasymptoticallyautonomousdynamicsfor2dmhdequations |