消散
边界(拓扑)
数学
数学分析
领域(数学分析)
理论(学习稳定性)
接口(物质)
指数稳定性
指数衰减
偏微分方程
机械
物理
计算机科学
非线性系统
气泡
量子力学
机器学习
最大气泡压力法
核物理学
热力学
作者
F. Bucci,Irena Lasiecka
标识
DOI:10.1080/0003681021000004555
摘要
We study uniform stability properties of a strongly coupled system of Partial Differential Equations of hyperbolic/parabolic type, which arises from the analysis and control of acoustic models with structural damping on an interface. A challenging feature of the present model is the presence of additional strong boundary damping which is responsible for lack of uniform stability of the free system ( overdamping phenomenon). It has been shown recently that by applying full viscous damping in the interior of the domain and suitable static damping on the interface, then the corresponding feedback system is uniformly stable. In this article we prove that uniform decay rates of solutions to the system can be achieved even if viscous damping is active just in an arbitrary thin layer near the interface.
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