| 具有线性记忆和线性阻尼的Kirchhoff梁方程的指数吸引子 |
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| 引用本文： | 王彩霞,刘强强,马巧珍.具有线性记忆和线性阻尼的Kirchhoff梁方程的指数吸引子[J].吉林大学学报(理学版),2022,60(1):1-0014. |
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| 作者姓名： | 王彩霞 刘强强 马巧珍 |
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| 作者单位： | 西北师范大学 数学与统计学院, 兰州 730070 |
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| 摘 要： | 考虑具有线性记忆和线性阻尼的Kirchhoff梁方程的指数吸引子. 首先, 用能量估计方法给出强弱空间中的有界吸收集; 其次, 用算子分解方法在弱拓扑空间中证明具有线性记忆项和线性阻尼项的Kirchhoff型梁方程指数吸引子的存在性.
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| 关 键 词： | 线性记忆 有界吸收集 算子分解 指数吸引子 |
| 收稿时间： | 2021-04-21 |
Exponential Attractor of Kirchhoff Beam Equation with Linear Memory and Linear Damping |
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| WANG Caixia,LIU Qiangqiang,MA Qiaozhen.Exponential Attractor of Kirchhoff Beam Equation with Linear Memory and Linear Damping[J].Journal of Jilin University: Sci Ed,2022,60(1):1-0014. |
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| Authors: | WANG Caixia LIU Qiangqiang MA Qiaozhen |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | We considered exponential attractor of Kirchhoff beam equation with linear memory and linear damping. Firstly, we gave the bounded absorbing sets in the strong-weak space by using the method of energy estimation. Secondly, we proved the existence of exponential attractors for Kirchhoff type beam equations with linear memory term and linear damping term in weak topological space by using the method of operator decomposition. |
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| Keywords: | linear memory bounded absorbing set operator decomposition exponential attractor |
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