数学
数学分析
开尔文–Voigt材料
理论(学习稳定性)
树(集合论)
流离失所(心理学)
指数函数
多项式的
物理
粘弹性
心理学
计算机科学
热力学
机器学习
心理治疗师
作者
Kaïs Ammari,Zhuangyi Liu,Farhat Shel
出处
期刊:Semigroup Forum
[Springer Nature]
日期:2019-09-26
卷期号:100 (2): 364-382
被引量:21
标识
DOI:10.1007/s00233-019-10064-7
摘要
In this paper we study the stability problem of a tree of elastic strings with local Kelvin–Voigt damping on some of the edges. Under the compatibility condition of displacement and strain and continuity condition of damping coefficients at the vertices of the tree, exponential/polynomial stability are proved. Our results generalize the case of single elastic string with local Kelvin–Voigt damping in Liu and Rao (Z. Angew Math Phys 56:630–644, 2005), Liu and Liu (Z. Angew Math Phys 53:265–280, 2002).
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