| 随机耗散Camassa-Holm方程的吸引子 |
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| 引用本文： | 赵文强,李扬荣.随机耗散Camassa-Holm方程的吸引子[J].应用数学学报,2012,35(1):73-87. |
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| 作者姓名： | 赵文强 李扬荣 |
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| 作者单位： | 1. 重庆工商大学数学与统计学院,重庆,400067
2. 西南大学数学与统计学学院,重庆,400715 |
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| 基金项目： | 国家自然科学基金(11071199,10871217)资助项目 |
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| 摘 要： | 可以接轨道得到带白噪声的随机耗散Camassa-Holm方程的唯—解并且可以检验该解产生随机动力系统,从而证明了该随机动力系统在H02中存在紧的随机吸引子.
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| 关 键 词： | Camassa-Holm方程 随机动力系统 随机吸引子 Wiener过程 |
Random Attractor for Stochastic Camassa-Holm Equation with Dissipative Part |
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| ZHAO WENQIANG
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LI YANGRONG.Random Attractor for Stochastic Camassa-Holm Equation with Dissipative Part[J].Acta Mathematicae Applicatae Sinica,2012,35(1):73-87. |
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| Authors: | ZHAO WENQIANG LI YANGRONG |
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| Institution: | (School of Mathematics and Statistics,Southwest China University,Chongqing 400715) |
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| Abstract: | It is showed that the stochastic Camassa-Holm equation with white noise can be solved path-wise and the unique solution generates a random dynamical system.Then a compact random attractor is obtained for this system in H02 space by a priori estimate technique. |
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| Keywords: | Camassa-Holm equation random dynamical systems random attractor Wiener process |
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