| 时滞2D-Navier-Stokes方程的全局吸引子 |
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| 引用本文： | 韩天勇,李树勇. 时滞2D-Navier-Stokes方程的全局吸引子[J]. 四川师范大学学报(自然科学版), 2006, 29(3): 257-261 |
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| 作者姓名： | 韩天勇 李树勇 |
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| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066;四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 国家自然科学基金;四川省应用基础研究计划 |
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| 摘 要： | 研究了含分布时滞的2D-Navier-Stokes方程在非齐次条件下的全局吸引子存在性问题．利用Baekground流函数齐次化系统后，借助Poincare不等式、Sobolev嵌入定理、能量不等式和一致Gronwall不等式等技巧，证明了解半群的渐近紧性．
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| 关 键 词： | 2D-Navier-Stokes方程 非齐次边界条件 Background流 分布时滞 全局吸引子 |
| 文章编号： | 1001-8395（2006）03-0257-05 |
| 收稿时间： | 2005-09-26 |
| 修稿时间： | 2005-09-26 |
The Global Attractor of 2D-Navier-Stokes Equations with Delays |
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| HAN Tian-yong,LI Shu-yong. The Global Attractor of 2D-Navier-Stokes Equations with Delays[J]. Journal of Sichuan Normal University(Natural Science), 2006, 29(3): 257-261 |
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| Authors: | HAN Tian-yong LI Shu-yong |
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| Affiliation: | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan |
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| Abstract: | In this paper, the existence of the global attractor for 2D-Navier-Stokes equations with delays is obtained. We reduce the problem to homogeneous boundary equations by constructing a background now, then by using the Poincare inequality, imbedding theorem, energy inequality and the uniform Gronwall Lemma, the asyrnptotical compactness is obtained. |
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| Keywords: | 2D-Navier-Stokes equation Non-homogeneous boundary condition Background flow Distributed delays Global attractor |
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