A Stochastic Weakly Damped, Forced KdV-BO Equation
We investigate the long time behavior of the damped, forced KdV-BO equation driven by white noise. We first show that the global solution generates a random dynamical system. By energy type estimates and dispersive properties, we then prove that this system possesses a weak random attractor in the s...
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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/10.1155/2014/576087 |
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| author | Guolian Wang |
| author_facet | Guolian Wang |
| author_sort | Guolian Wang |
| collection | DOAJ |
| description | We investigate the long time behavior of the damped, forced KdV-BO equation driven by white noise. We first show that the global solution generates a random dynamical system. By energy type estimates
and dispersive properties, we then prove that this system possesses a weak random attractor in the space H1(ℝ). |
| format | Article |
| id | doaj-art-acb9c72d43e64e9ca2447f1d7253875d |
| 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-acb9c72d43e64e9ca2447f1d7253875d2025-02-03T01:01:51ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/576087576087A Stochastic Weakly Damped, Forced KdV-BO EquationGuolian Wang0Department of Mathematics, Tongji University, Shanghai 200092, ChinaWe investigate the long time behavior of the damped, forced KdV-BO equation driven by white noise. We first show that the global solution generates a random dynamical system. By energy type estimates and dispersive properties, we then prove that this system possesses a weak random attractor in the space H1(ℝ).http://dx.doi.org/10.1155/2014/576087 |
| spellingShingle | Guolian Wang A Stochastic Weakly Damped, Forced KdV-BO Equation Abstract and Applied Analysis |
| title | A Stochastic Weakly Damped, Forced KdV-BO Equation |
| title_full | A Stochastic Weakly Damped, Forced KdV-BO Equation |
| title_fullStr | A Stochastic Weakly Damped, Forced KdV-BO Equation |
| title_full_unstemmed | A Stochastic Weakly Damped, Forced KdV-BO Equation |
| title_short | A Stochastic Weakly Damped, Forced KdV-BO Equation |
| title_sort | stochastic weakly damped forced kdv bo equation |
| url | http://dx.doi.org/10.1155/2014/576087 |
| work_keys_str_mv | AT guolianwang astochasticweaklydampedforcedkdvboequation AT guolianwang stochasticweaklydampedforcedkdvboequation |