Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise
In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained. We first transform the stochastic equation into a random equation and then obtain the existence of a random attractor for random equat...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/3105239 |
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| _version_ | 1832563027418808320 |
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| author | Xiaoyao Jia Xiaoquan Ding |
| author_facet | Xiaoyao Jia Xiaoquan Ding |
| author_sort | Xiaoyao Jia |
| collection | DOAJ |
| description | In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained. We first transform the stochastic equation into a random equation and then obtain the existence of a random attractor for random equation. Then conjugation relation between two random dynamical systems implies the existence of a random attractor for the stochastic equation. At last, we get the upper semicontinuity of random attractor. |
| format | Article |
| id | doaj-art-7af66870b76848aea8c13885b87aa008 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7af66870b76848aea8c13885b87aa0082025-02-03T01:21:08ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/31052393105239Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive NoiseXiaoyao Jia0Xiaoquan Ding1Mathematics and Statistics School, Henan University of Science and Technology, No. 263 Kai-Yuan Road, Luo-Long District, Luoyang, Henan Province 471023, ChinaMathematics and Statistics School, Henan University of Science and Technology, No. 263 Kai-Yuan Road, Luo-Long District, Luoyang, Henan Province 471023, ChinaIn this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained. We first transform the stochastic equation into a random equation and then obtain the existence of a random attractor for random equation. Then conjugation relation between two random dynamical systems implies the existence of a random attractor for the stochastic equation. At last, we get the upper semicontinuity of random attractor.http://dx.doi.org/10.1155/2018/3105239 |
| spellingShingle | Xiaoyao Jia Xiaoquan Ding Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise Journal of Function Spaces |
| title | Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise |
| title_full | Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise |
| title_fullStr | Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise |
| title_full_unstemmed | Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise |
| title_short | Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise |
| title_sort | random attractors for stochastic retarded 2d navier stokes equations with additive noise |
| url | http://dx.doi.org/10.1155/2018/3105239 |
| work_keys_str_mv | AT xiaoyaojia randomattractorsforstochasticretarded2dnavierstokesequationswithadditivenoise AT xiaoquanding randomattractorsforstochasticretarded2dnavierstokesequationswithadditivenoise |