Stability of the wave equations on a tree with local Kelvin-Voigt damping

2018/03/20 by Ammari, Kaïs, Liu, Zhuangyi, Shel, Farhat
#35B35 #35B40 #93D20 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1803.07280

Abstract

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.

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