| 带加法白噪声的随机Boussinesq方程组的解的渐近行为 |
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| 引用本文： | 赵文强,李扬荣.带加法白噪声的随机Boussinesq方程组的解的渐近行为[J].数学学报,2013(1):1-14. |
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| 作者姓名： | 赵文强 李扬荣 |
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| 作者单位： | 重庆工商大学数学与统计学院;西南大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金资助项目(11071199);重庆市教委科技资助项目(KJ120703);重庆市科委自然科学基金项目(cstc2012jjA00032);重庆工商大学博士启动基金项目(2012-56-09) |
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| 摘 要： | 考虑速度和温度同时在加法白噪声扰动下的随机Boussinesq方程组的解的渐近特征.可以接轨道得到该随机方程组的唯一解,并可以验证该解生成随机动力系统,进而证明了该随机动力系统存在随机吸引子.
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| 关 键 词： | 随机动力系统 随机Boussinesq方程组 随机吸引子 加法白噪声 |
Asymptotic Behavior of Stochastic Boussinesq Equations with Additive White Noises |
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| Wen Qiang ZHAO School of Mathematics and Statistics,Chongqing Technology and Business University, Chongqing,P.R.China Yang Rong LI.Asymptotic Behavior of Stochastic Boussinesq Equations with Additive White Noises[J].Acta Mathematica Sinica,2013(1):1-14. |
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| Authors: | Wen Qiang ZHAO School of Mathematics and Statistics Chongqing Technology and Business University Chongqing PRChina Yang Rong LI |
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| Institution: | School of Mathematics and Statistics,Southwest University,Chongqing 400715,P.R.China |
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| Abstract: | This paper is devoted to the investigation of asymptotic behavior of stochastic Boussinesq equations influenced by random exterior forced white noises both in the velocity and in the temperature fields.It is showed that the stochastic Boussinesq equations can be solved path-wise and the unique solution generates a random dynamical system.Then the existence of a random attractor for the generated random dynamical system is established. |
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| Keywords: | random dynamical system stochastic Boussinesq equations random attractors additive white noises |
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