| 广义Newton-Boussinesq方程组的整体吸引子(英文) |
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| 引用本文： | 张瑞凤,郭柏灵.广义Newton-Boussinesq方程组的整体吸引子(英文)[J].河南大学学报(自然科学版),2009,39(2). |
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| 作者姓名： | 张瑞凤 郭柏灵 |
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| 作者单位： | 1. 河南大学,数学与信息科学学院,应用数学系,河南,开封,475001
2. 北京应用物理与计算数学研究所,北京,100088 |
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| 基金项目： | Supported by the Natural Science Foundation of Henan Education Department(2008A110002 ;2007110004) |
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| 摘 要： | 研究Newton-Boussinesq方程组解的长时间行为. 通过一致先验估计,证明了周期边值问题整体吸引子的存在性,得到了整体吸引子Hausdorff维数及分形维数的上界估计.
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| 关 键 词： | Newton-Boussinesq方程组 先验估计 整体吸引子 Hausdorff维数和分形维数 |
Global Attractor for the Generalized Newton-Boussinesq Equations |
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| ZHANG Rui-feng,GUO Bo-ling.Global Attractor for the Generalized Newton-Boussinesq Equations[J].Journal of Henan University(Natural Science),2009,39(2). |
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| Authors: | ZHANG Rui-feng GUO Bo-ling |
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| Institution: | 1. Institute of Applied Mathematics;College of Mathematics and Information Science;Henan University;Kaifeng 475001;China;2. Institute of Applied Physics and Computational Mothematics;Beijing 10088;China |
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| Abstract: | The long time behavior of solution of the generalized Newton-Boussinesq equations is considered. The existence of global attractor of the periodic initial value problem is proved,and the estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractor are obtained by means of uniform a priori estimates method. |
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| Keywords: | Newton-Boussinesq equations a priori estimate global attractor Hausdorff and fractal dimensions |
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