| 非自治吊桥方程的一致吸引子 |
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| 引用本文： | 汪璇,马巧珍.非自治吊桥方程的一致吸引子[J].四川大学学报(自然科学版),2011,48(2):291-298. |
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| 作者姓名： | 汪璇 马巧珍 |
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| 作者单位： | 1. 西北师范大学数学与信息科学学院,兰州,730070;兰州大学数学与统计学院,兰州,730000
2. 西北师范大学数学与信息科学学院,兰州,730070 |
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| 基金项目： | 国家自然科学基金（10771089）; 国家自然科学基金（10871060） |
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| 摘 要： | 作者讨论了非自治吊桥面方程的长时间动力学行为.通过应用一些新的结果和能量估计技巧，获得了能量的一致衰退估计.当外力项f满足条件（C*）（而非平移紧）时，作者证明了一致吸引子在H20（Ω）×L2(Ω)上的存在性，此结果推广和改进了一些已有结果.
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| 关 键 词： | 非自治吊桥方程 一致（C）条件 一致吸引子 |
Uniform attractors for non-autonomous suspension bridge equations |
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| WANG Xuan and MA Qiao-Zhen.Uniform attractors for non-autonomous suspension bridge equations[J].Journal of Sichuan University (Natural Science Edition),2011,48(2):291-298. |
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| Authors: | WANG Xuan and MA Qiao-Zhen |
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| Institution: | College of Mathematics and Information Science, Northwest Normal University;School of Mathematics and Statistics, Lanzhou University;College of Mathematics and Information Science, Northwest Normal University |
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| Abstract: | The long-time dynamical behavior of the non-autonomous suspension bridge equations is discussed in this paper. On the basis of some new results and technique of energy estimates, the uniformly decay estimate is obtained. When forcing term f only satisfies Condition(C* ) instead of translation compact,the existence of uniform attractors in H20 (Ω)× L2 (Ω) is proven. The result extends and improves some known results. |
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| Keywords: | non-autonomous suspension bridge equation uniform Condition(C) uniform attractor |
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