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| 带记忆的非自治黏弹性棒方程的吸引子的存在性 | |
| 引用本文： | 汪璇,马巧珍.带记忆的非自治黏弹性棒方程的吸引子的存在性[J].山东大学学报(理学版),2010,45(12):67-74. |
| 作者姓名： | 汪璇 马巧珍 |
| 作者单位： | 1. 西北师范大学数学与信息科学学院, 甘肃 兰州 730070; 2. 兰州大学数学与统计学院, 甘肃 兰州 730000 |
| 摘 要： | 讨论了带衰退记忆的半线性非自治黏弹性棒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， 当外力项满足(C*)条件而非平移紧时, 证明了一致吸引子在Vθ×H×L2μ (R+;Vθ)上的存在性, 此结果推广和改进了一些已有结果。 |
| 关 键 词： | 非自治黏弹性棒方程 一致吸引子 记忆核 |
| 收稿时间： | 2009-12-10 |
Existence of attractors for the non-autonomous viscoelastic rod equations with memory |
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| WANG Xuan,MA Qiao-zhen.Existence of attractors for the non-autonomous viscoelastic rod equations with memory[J].Journal of Shandong University,2010,45(12):67-74. | |
| Authors: | WANG Xuan MA Qiao-zhen |
| Institution: | 1. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070， Gansu, China; 2. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Gansu, China |
| Abstract: | The long-time dynamical behavior of the non-autonomous viscoelastic rod equations with memory is discussed in this paper. Based on some new results and energy estimates, the uniformly decay estimate is obtained. When the forcing term f only satisfies condition (C*) instead of translation compact, the existence of uniform attractors in Vθ× H × L2μ (R+ ; Vθ) is proven, which extends and improves some known results. |
| Keywords: | non-autonomous viscoelastic rod equation uniform attractor memory kernel |
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