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 𝒜ε(t) of equation ut-Δut-νΔu+∇·F→(u)=ɛg(x,t), x∈Ω, converge to the glo...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/853139 |
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| _version_ | 1832566795668553728 |
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| author | Xinguang Yang Xiaosong Wang Juntao Li Lingrui Zhang |
| author_facet | Xinguang Yang Xiaosong Wang Juntao Li Lingrui Zhang |
| author_sort | Xinguang Yang |
| collection | DOAJ |
| 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 𝒜ε(t) of equation ut-Δut-νΔu+∇·F→(u)=ɛg(x,t), x∈Ω, converge to the global attractor 𝒜 of the above-mentioned equation with ε=0 for any t∈ℝ. |
| format | Article |
| id | doaj-art-f5eff46a13614408bbe07632b73b4a94 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-f5eff46a13614408bbe07632b73b4a942025-02-03T01:03:15ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/853139853139Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony EquationsXinguang Yang0Xiaosong Wang1Juntao Li2Lingrui Zhang3College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, ChinaCollege of Information Science, Henan University of Technology, Zhengzhou 450001, ChinaCollege of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, ChinaCollege of Education and Teacher Development, Henan Normal University, Xinxiang 453007, ChinaWe 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 𝒜ε(t) of equation ut-Δut-νΔu+∇·F→(u)=ɛg(x,t), x∈Ω, converge to the global attractor 𝒜 of the above-mentioned equation with ε=0 for any t∈ℝ.http://dx.doi.org/10.1155/2014/853139 |
| spellingShingle | Xinguang Yang Xiaosong Wang Juntao Li Lingrui Zhang Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/853139 |
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