| 有界多连通区域具线性阻尼Navier-Stokes方程的有限维行为 |
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| 引用本文： | 张亚东,宋崇凯.有界多连通区域具线性阻尼Navier-Stokes方程的有限维行为[J].应用泛函分析学报,2009,11(3):246-251. |
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| 作者姓名： | 张亚东 宋崇凯 |
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| 作者单位： | 1. 许昌学院,数学系,许昌,461000
2. 湘潭大学,数学系,湘潭,411105 |
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| 摘 要： | 考虑二维有界多连通区域上具线性阻尼Navier-Stokes方程,在适当的边界条件下证明了解的存在唯一性及整体吸引子A的存在性,并给出了A的Hausdorff维数与Fractal维数.
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| 关 键 词： | 线性阻尼 Navier-Stokes方程 整体吸引子 Hausdorff维数 Fractal维数 |
Finite Dimension Behavior of Navier-Stokes Equations with Linear Damping for Multi-connected Bounded Domains |
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| ZHANG Ya-dong,SONG Chong-kai.Finite Dimension Behavior of Navier-Stokes Equations with Linear Damping for Multi-connected Bounded Domains[J].Acta Analysis Functionalis Applicata,2009,11(3):246-251. |
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| Authors: | ZHANG Ya-dong SONG Chong-kai |
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| Institution: | 1. Department of Mathematic, Xuchang University, Xuchang 461000, China 2. Department of Mathematic, Xiangtan University, Xiangtan 411105, China) |
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| Abstract: | The paper analysis finite dimension behavior of Navier-Stokes equations with linear damping for multi-connected bounded domains in two dimensions.The existence and uniqueness of solution are proved under suitable boundary conditions.We also prove the existence of global attractor A,the upper bound estimates of global attractor s Hausdorff and Fractal dimensions are also given. |
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| Keywords: | linear damping Navier-Stokes equations global attractor Hausdorff and fractal dimensions |
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