Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises
This paper investigates the existence of random attractor for stochastic Boussinesq equations driven by multiplicative white noises in both the velocity and temperature equations and estimates the Hausdorff dimension of the random attractor.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/1832840 |
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| _version_ | 1832550337382187008 |
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| author | Yin Li Ruiying Wei Donghong Cai |
| author_facet | Yin Li Ruiying Wei Donghong Cai |
| author_sort | Yin Li |
| collection | DOAJ |
| description | This paper investigates the existence of random attractor for stochastic Boussinesq equations driven by multiplicative white noises in both the velocity and temperature equations and estimates the Hausdorff dimension of the random attractor. |
| format | Article |
| id | doaj-art-203f7a6f9eab4f50b48cf33b637dcf1c |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-203f7a6f9eab4f50b48cf33b637dcf1c2025-02-03T06:06:57ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/18328401832840Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White NoisesYin Li0Ruiying Wei1Donghong Cai2School of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, ChinaSchool of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, ChinaDepartment of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaThis paper investigates the existence of random attractor for stochastic Boussinesq equations driven by multiplicative white noises in both the velocity and temperature equations and estimates the Hausdorff dimension of the random attractor.http://dx.doi.org/10.1155/2016/1832840 |
| spellingShingle | Yin Li Ruiying Wei Donghong Cai Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises Journal of Function Spaces |
| title | Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises |
| title_full | Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises |
| title_fullStr | Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises |
| title_full_unstemmed | Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises |
| title_short | Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises |
| title_sort | hausdorff dimension of a random attractor for stochastic boussinesq equations with double multiplicative white noises |
| url | http://dx.doi.org/10.1155/2016/1832840 |
| work_keys_str_mv | AT yinli hausdorffdimensionofarandomattractorforstochasticboussinesqequationswithdoublemultiplicativewhitenoises AT ruiyingwei hausdorffdimensionofarandomattractorforstochasticboussinesqequationswithdoublemultiplicativewhitenoises AT donghongcai hausdorffdimensionofarandomattractorforstochasticboussinesqequationswithdoublemultiplicativewhitenoises |