Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise
Long time behavior of stochastic Ginzburg-Landau equations with nonautonomous deterministic external forces, dispersion coefficients, and nonautonomous perturbations is studied. The domain is taken as a bounded interval I in R. By making use of Sobolev embeddings and Gialiardo-Nirenberg inequality w...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/921750 |
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| _version_ | 1832555938576334848 |
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| author | Yangrong Li Hongyong Cui |
| author_facet | Yangrong Li Hongyong Cui |
| author_sort | Yangrong Li |
| collection | DOAJ |
| description | Long time behavior of stochastic Ginzburg-Landau equations with nonautonomous deterministic external forces, dispersion coefficients, and nonautonomous perturbations is studied. The domain is taken as a bounded interval I in R. By making use of Sobolev embeddings and Gialiardo-Nirenberg inequality we obtain the existence and upper semicontinuity of the pullback attractor in L2(I) for the equation. The upper semicontinuity shows the stability of attractors under perturbations. |
| format | Article |
| id | doaj-art-a1d1437051b14a6996dae814d4f6614d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a1d1437051b14a6996dae814d4f6614d2025-02-03T05:46:44ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/921750921750Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive NoiseYangrong Li0Hongyong Cui1School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaLong time behavior of stochastic Ginzburg-Landau equations with nonautonomous deterministic external forces, dispersion coefficients, and nonautonomous perturbations is studied. The domain is taken as a bounded interval I in R. By making use of Sobolev embeddings and Gialiardo-Nirenberg inequality we obtain the existence and upper semicontinuity of the pullback attractor in L2(I) for the equation. The upper semicontinuity shows the stability of attractors under perturbations.http://dx.doi.org/10.1155/2014/921750 |
| spellingShingle | Yangrong Li Hongyong Cui Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise Abstract and Applied Analysis |
| title | Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise |
| title_full | Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise |
| title_fullStr | Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise |
| title_full_unstemmed | Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise |
| title_short | Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise |
| title_sort | pullback attractor for nonautonomous ginzburg landau equation with additive noise |
| url | http://dx.doi.org/10.1155/2014/921750 |
| work_keys_str_mv | AT yangrongli pullbackattractorfornonautonomousginzburglandauequationwithadditivenoise AT hongyongcui pullbackattractorfornonautonomousginzburglandauequationwithadditivenoise |