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| Navier-Stokes方程可加白噪音的随机小挠动 | |
| 引用本文： | 谷安辉,宋锦前,夏红波. Navier-Stokes方程可加白噪音的随机小挠动[J]. 湘南学院学报, 2009, 30(2) |
| 作者姓名： | 谷安辉 宋锦前 夏红波 |
| 作者单位： | 1. 桂林工学院,数理系,广西,桂林,541004 2. 湘潭市湘钢一中,湖南,湘潭,411000 3. 上海民办奉浦学校,上海,201400 |
| 摘 要： | 研究了二维区域上Navier-Stokes方程在较小∈可加白噪音;情形下的挠动,并得到当∈→0时,其随机吸引子是上半连续的. |
| 关 键 词： | 随机动力系统 Navier-Stokes方程 随机吸引子 白噪音 上半连续 |
Random Perturbation of Navier-Stokes Equation by Additive Noise |
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| GU An-hui,SONG Jin-qian,XIA Hong-bo. Random Perturbation of Navier-Stokes Equation by Additive Noise[J]. Journal of Xiangnan University, 2009, 30(2) | |
| Authors: | GU An-hui SONG Jin-qian XIA Hong-bo |
| Abstract: | When the Navier-Stokes equations in a two-dimensional domain are perturbed by an small additive white noise,then the random attractors of the equations are upper semi-continuous as ∈→0. |
| Keywords: | random dynamical system(RDS) Navier-Stokes equation random at-tractor white noise upper semi-conti-nuity |
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