论文标题
具有局部开尔文 - voigt阻尼的星形网络的稳定性和界面的非平滑系数
Stability of a star-shaped network with local Kelvin-Voigt damping and non-smooth coefficient at interface
论文作者
论文摘要
在本文中，我们研究了带有局部开尔文 - voigt阻尼的弹性字符串网络的稳定性问题。假设阻尼系数在传输点附近具有一些奇异性，我们证明与系统相对应的半群是多项式稳定的，衰减速率取决于退化的速度。该结果提高了与系统的早期结果相关的半群的衰减速率。
In this paper, we study the stability problem of a star-shaped network of elastic strings with a local Kelvin-Voigt damping. Under the assumption that the damping coefficients have some singularities near the transmission point, we prove that the semigroup corresponding to the system is polynomially stable and the decay rates depends on the speed of the degeneracy. This result improves the decay rate of the semigroup associated to the system on an earlier result of Z.~Liu and Q.~Zhang in \cite{LZ} involving the wave equation with local Kelvin-Voigt damping and non-smooth coefficient at interface.
