具有Kelvin-Voigt阻尼的弱耦合系统的能量衰减估计

摘要

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.%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。