Stability of the wave equations on a tree with local Kelvin-Voigt damping
classification
🧮 math.AP
keywords
dampingstabilitytreeconditionkelvin-voigtlocalcoefficientscompatibility
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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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