| 无界区域上具线性阻尼的二维 Navier-Stokes 方程的拉回吸引子 |
| |
| 引用本文： | 王小虎,李树勇.无界区域上具线性阻尼的二维 Navier-Stokes 方程的拉回吸引子[J].数学物理学报(A辑),2009,29(4):873-881. |
| |
| 作者姓名： | 王小虎 李树勇 |
| |
| 作者单位： | 王小虎(四川大学数学学院,成都,610064);李树勇(四川师范大学数学与软件科学学院,成都,610066) |
| |
| 摘 要： | 该文首先介绍拉回渐近紧非自治动力系统的概念, 给出非自治动力系统拉回吸引子存在定理. 最后证明了无界区域上具线性阻尼的二维Navier-Stokes 方程的拉回吸引子的存在性, 并给出了其Fractal维数估计.
|
| 关 键 词： | 渐近紧 过程 非自治 线性阻尼 拉回吸引子 |
| 收稿时间： | 2008-01-08 |
| 修稿时间： | 2009-02-23 |
Pullback Attractors for Non-autonomous 2D Navier-Stokes Equations with Linear Dampness in Some Unbounded Domains |
| |
| Affiliation: | (1. Department of Mathematics, Sichuan University, Chengdu 610064, 2. Department of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066) |
| |
| Abstract: | In this paper, the concept of pullback asymptotically compact non-autonomous dynamical system is firstly introduced. Then, a result ensuring the existence of a pullback attractor for a non-autonomous dynamical system is given. Finally, the existence of a pullback attractor for a non-autonomous 2D Navier-Stokes equation with linear dampness in some unbounded domains is proved. Moreover, the upper bounds of Fractal dimension of the pullback attractor is estimated. |
| |
| Keywords: | Asymptotic compactnesszz Processzz Non-autonomouszz Linear dampnesszz Pullback attractorzz |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《数学物理学报(A辑)》浏览原始摘要信息 |
|
点击此处可从《数学物理学报(A辑)》下载全文 |
|
