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arXiv · 1803.07280

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

Kaïs Ammari·Zhuangyi Liu·Farhat Shel
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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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Kaïs Ammari, Zhuangyi Liu, Farhat Shel. 2018-03-20. Stability of the wave equations on a tree with local Kelvin-Voigt damping. https://arxiv.org/abs/1803.07280

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