Random Dynamics of the Stochastic Boussinesq Equations Driven by Lévy Noises
This paper is devoted to the investigation of random dynamics of the stochastic Boussinesq equations driven by Lévy noise. Some fundamental properties of a subordinator Lévy process and the stochastic integral with respect to a Lévy process are discussed, and then the existence, uniqueness, regulari...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/653160 |
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| _version_ | 1832561772379242496 |
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| author | Jianhua Huang Yuhong Li Jinqiao Duan |
| author_facet | Jianhua Huang Yuhong Li Jinqiao Duan |
| author_sort | Jianhua Huang |
| collection | DOAJ |
| description | This paper is devoted to the investigation of random dynamics of the stochastic Boussinesq equations driven by Lévy noise. Some fundamental properties of a subordinator Lévy process and the stochastic integral with respect to a Lévy process are discussed, and then the existence, uniqueness, regularity, and the random dynamical system generated by the stochastic Boussinesq equations are established. Finally, some discussions on the global weak solution of the stochastic Boussinesq equations driven by general Lévy noise are also presented. |
| format | Article |
| id | doaj-art-6dedf188c96f4856b9ec3ff618df3cfb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6dedf188c96f4856b9ec3ff618df3cfb2025-02-03T01:24:11ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/653160653160Random Dynamics of the Stochastic Boussinesq Equations Driven by Lévy NoisesJianhua Huang0Yuhong Li1Jinqiao Duan2Department of Mathematics, National University of Defense Technology, Changsha 410073, ChinaCollege of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaDepartment of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616, USAThis paper is devoted to the investigation of random dynamics of the stochastic Boussinesq equations driven by Lévy noise. Some fundamental properties of a subordinator Lévy process and the stochastic integral with respect to a Lévy process are discussed, and then the existence, uniqueness, regularity, and the random dynamical system generated by the stochastic Boussinesq equations are established. Finally, some discussions on the global weak solution of the stochastic Boussinesq equations driven by general Lévy noise are also presented.http://dx.doi.org/10.1155/2013/653160 |
| spellingShingle | Jianhua Huang Yuhong Li Jinqiao Duan Random Dynamics of the Stochastic Boussinesq Equations Driven by Lévy Noises Abstract and Applied Analysis |
| title | Random Dynamics of the Stochastic Boussinesq Equations Driven by Lévy Noises |
| title_full | Random Dynamics of the Stochastic Boussinesq Equations Driven by Lévy Noises |
| title_fullStr | Random Dynamics of the Stochastic Boussinesq Equations Driven by Lévy Noises |
| title_full_unstemmed | Random Dynamics of the Stochastic Boussinesq Equations Driven by Lévy Noises |
| title_short | Random Dynamics of the Stochastic Boussinesq Equations Driven by Lévy Noises |
| title_sort | random dynamics of the stochastic boussinesq equations driven by levy noises |
| url | http://dx.doi.org/10.1155/2013/653160 |
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