具有混合阻尼的弱耦合系统的稳定性

Stability of the Weakly Coupled Systems with Mixed Damping

研究具有混合阻尼的弱耦合梁-弦系统．首先在合适的假设下，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混合阻尼的弱耦合梁-弦系统的能量是一致指数稳定的．

This paper studies the weakly coupled beam-string systems with mixed damping. First, under the appropriate hypothesis, we proved that 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 beam-string system with local memory damping is uniform exponential stable by applying the frequence domain result on Hilbert space.