| 具有Kelvin-Voigt阻尼的弱耦合系统的能量衰减估计 |
| |
| 引用本文： | 樊美丽,章春国,谷尚武.具有Kelvin-Voigt阻尼的弱耦合系统的能量衰减估计[J].纯粹数学与应用数学,2014(6):634-641. |
| |
| 作者姓名： | 樊美丽 章春国 谷尚武 |
| |
| 作者单位： | 杭州电子科技大学数学系,浙江 杭州,310018 |
| |
| 摘 要： | 研究具有 Kelvin-Voigt 阻尼的弱耦合系统。首先在合适的假设条件下，应用线性算子半群理论证明了系统的适定性；进而运用线性算子半群的频域定理证明了具有Kelvin-Voigt阻尼的弱耦合梁―弦系统的能量是一致指数衰减的。
|
| 关 键 词： | Kelvin-Voigt阻尼 弱耦合系统 线性算子半群 一致指数衰减 |
Energy decay estimates for the weakly coupled systems with Kelvin-Voigt damping |
| |
| Fan Meili,Zhang Chunguo,Gu Shangwu.Energy decay estimates for the weakly coupled systems with Kelvin-Voigt damping[J].Pure and Applied Mathematics,2014(6):634-641. |
| |
| Authors: | Fan Meili Zhang Chunguo Gu Shangwu |
| |
| Institution: | (Department of Mathematics , Hangzhou Dianzi University, Hangzhou 310018, China) |
| |
| Abstract: | This paper studies the weakly coupled systems with Kelvin-Voigt damping. First, under the appro-priate hypothesis, we prove the well-posedness of the system by using the theory of linear operator semigroup. And then, we show that the energy of the weakly coupled system with Kelvin-Voigt damping is uniform expo-nential decay by applying the frequency domain result on Hilbert space. |
| |
| Keywords: | Kelvin-Voigt damping weakly coupled system linear operator semigroup uniform exponential decay |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
