一类具有局部记忆阻尼的弱耦合系统的能量衰减估计

Energy Decay Estimates for the Weakly Coupled Systems with Local Memory Damping

研究具有局部记忆阻尼弱耦合梁-弦系统.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局部记忆阻尼弱耦合梁-弦系统的能量是一致指数衰减的.

This paper studies the weakly coupled beam-string systems with local memory 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 decay by applying the frequence domain result on Hilbert space.