Stabilization of transmission system of Kirchhoff plate and wave equations with a localized Kelvin-Voigt damping

被引：3

作者：

Hong, Gimyong ^{[1
]}

Hong, Hakho ^{[2
]}

机构：

[1] Univ Sci, Fac Math, Pyongyang, North Korea

[2] State Acad Sci, Inst Math, Pyongyang, North Korea

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2021年 / 21卷 / 02期

关键词：

Transmission problem; Kirchhoff plate; Wave equation; Kelvin– Voigt damping; Energy decay; Carleman estimate;

D O I：

10.1007/s00028-021-00682-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the stabilization for the Kirchhoff plate and equations connected by transmission conditions. We show that the energy of the transmission system is stable with logarithmic decay rate when feedback control acts on the small part of the plate as a viscoelastic material with Kelvin-Voigt constitutive relation. The proof is based on a new resolvent estimate by using some careful analysis for Kirchhoff plate-wave transmission system.

引用

页码：2239 / 2264

页数：26

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