| 一类广义Navier-Stokes 方程的整体吸引子及其维数估计 |
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| 引用本文： | 何树红.一类广义Navier-Stokes 方程的整体吸引子及其维数估计[J].河南师范大学学报(自然科学版),2000,28(1):16-20. |
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| 作者姓名： | 何树红 |
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| 作者单位： | 云南大学数学系,云南,昆明,650091 |
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| 基金项目： | 云南省教育厅资助项目，98005， |
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| 摘 要： | 本证明一类广义Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程的整体吸引子的存在性，并得到了整体吸引子的Ｈａｕｓｄｏｒｆｆ维数，分形维数估计。
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| 关 键 词： | 整体吸引子 分形维数 广义N－S方程 |
| 文章编号： | 1000-2367(2000)01-0016-05 |
| 修稿时间： | 1999-10-05 |
Existence and Finite Dimensionality of the Global Attarctors for Generalized Navier-Stokes Equations |
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| HE Shu-hong.Existence and Finite Dimensionality of the Global Attarctors for Generalized Navier-Stokes Equations[J].Journal of Henan Normal University(Natural Science),2000,28(1):16-20. |
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| Authors: | HE Shu-hong |
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| Institution: | HE Shu-hong
(Departem of Mathematics,Yunnan
University,Kunming ,650091) |
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| Abstract: | In this work,we obtain the existence of the global attractors for generalized Navier Stokes equations and prove that the m dimensional volume element in the phase space decays exponentially as tapproaches to infinity,and the Hausdroff dimension and the fractal dimension of the attractors are finite. |
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| Keywords: | generalized Navier Stokes equations global attractor hausdorff dimension fractal dimension |
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