Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations
We prove the existence of the random attractor for the stochastic discrete long wave-short wave resonance equations in an infinite lattice. We prove the asymptotic compactness of the random dynamical system and obtain the random attractor.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/452087 |
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| _version_ | 1832552315492499456 |
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| author | Jie Xin Hong Lu |
| author_facet | Jie Xin Hong Lu |
| author_sort | Jie Xin |
| collection | DOAJ |
| description | We prove the existence of the random attractor for the stochastic discrete long wave-short wave resonance equations in an infinite lattice. We prove the asymptotic compactness of the random dynamical system and obtain the random attractor. |
| format | Article |
| id | doaj-art-ac4e0081d9dd4776869e65ba27a610ef |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ac4e0081d9dd4776869e65ba27a610ef2025-02-03T05:58:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/452087452087Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance EquationsJie Xin0Hong Lu1School of Mathematics and Information, Ludong University, Shandong,Yantai 264025, ChinaSchool of Mathematics and Information, Ludong University, Shandong,Yantai 264025, ChinaWe prove the existence of the random attractor for the stochastic discrete long wave-short wave resonance equations in an infinite lattice. We prove the asymptotic compactness of the random dynamical system and obtain the random attractor.http://dx.doi.org/10.1155/2011/452087 |
| spellingShingle | Jie Xin Hong Lu Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations Journal of Applied Mathematics |
| title | Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations |
| title_full | Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations |
| title_fullStr | Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations |
| title_full_unstemmed | Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations |
| title_short | Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations |
| title_sort | random attractors for the stochastic discrete long wave short wave resonance equations |
| url | http://dx.doi.org/10.1155/2011/452087 |
| work_keys_str_mv | AT jiexin randomattractorsforthestochasticdiscretelongwaveshortwaveresonanceequations AT honglu randomattractorsforthestochasticdiscretelongwaveshortwaveresonanceequations |