论文标题
Timoshenko系统的传输问题，其中一个局部开尔文 - voigt抑制和非平滑系数在接口处
A transmission problem for the Timoshenko system with one local Kelvin-Voigt damping and non-smooth coefficient at the interface
论文作者
论文摘要
在本文中，我们研究了Timoshenko系统在完全差异或混合边界条件下使用局部或全球开尔文 - voigt阻尼的间接稳定性。与H. L. Zhao，K。S。Liu和C. G. Zhang以及X. Tian和Q. Zhang的结果不同，在本文中，我们考虑了Timoshenko系统，只有一个本地或全球分布的kelvin-voigt抑制作用。实际上，我们证明系统的能量在多项式上衰减，并且获得的衰减速率在某种意义上是最佳的。该方法基于频域方法与乘数方法结合。
In this paper, we study the indirect stability of Timoshenko system with local or global Kelvin-Voigt damping, under fully Dirichlet or mixed boundary conditions. Unlike the results of H. L. Zhao, K. S. Liu, and C. G. Zhang and of X. Tian and Q. Zhang, in this paper, we consider the Timoshenko system with only one locally or globally distributed Kelvin-Voigt damping. Indeed, we prove that the energy of the system decays polynomially and that the obtained decay rate is in some sense optimal. The method is based on the frequency domain approach combining with multiplier method.
