| 非光滑区域上非自治Navier-Stokes 方程非齐边界问题的吸引子 |
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| 引用本文： | 郭秀兰,李开泰.非光滑区域上非自治Navier-Stokes 方程非齐边界问题的吸引子[J].应用数学学报,2004,27(1):108-116. |
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| 作者姓名： | 郭秀兰 李开泰 |
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| 作者单位： | 西安交通大学理学院,西安,710049 |
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| 摘 要： | 本文研究在2维Lipschitz区域上Navier-Stokes方程的非齐边界问题的长时间行为，在外力是时间的拟周期下，通过引入双参过程的概念，证明一致吸引子A的存在性，并给出一致吸引子A的Hausdorff维数的上界估计。
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| 关 键 词： | 非光滑区域 非自治Navier-Stokes方程 非齐边界问题 吸引子 Hausdorff维数 双参过程 |
THE UNIFORM ATTRACTOR FOR THE NON-AUTONOMOUS NAVIER-STOKES EQUATION WITH NON-HOMOGENEOUS BOUNDARY CONDITION IN NON-SMOOTH DOMAINS |
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| GUO XIULAN LI KAITAI.THE UNIFORM ATTRACTOR FOR THE NON-AUTONOMOUS NAVIER-STOKES EQUATION WITH NON-HOMOGENEOUS BOUNDARY CONDITION IN NON-SMOOTH DOMAINS[J].Acta Mathematicae Applicatae Sinica,2004,27(1):108-116. |
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| Authors: | GUO XIULAN LI KAITAI |
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| Abstract: | In this paper, the long-time behavior of non-autonomous Navier-Stokes equations with non-homogeneous boundary condition in Lipschitz domains is studied. The existence of uniform attractor is proven when external force is quasi-periodic in time. Moreover, the upper bounds of the uniform attractor' dimensions are given. |
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| Keywords: | Lipschitz domains Non-autonomous Navier-Stokes equation uniform attractor Hausdorff dimensions Non-homogeneous boundary |
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