Titlebook: Stabilization of Kelvin-Voigt Damped Systems; Kaïs Ammari,Fathi Hassine Book 2022 The Editor(s) (if applicable) and The Author(s), under e

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1571-8689 ization of Kelvin-Voigt Damped Systems. will be a useful reference for researchers in mechanics, particularly those interested in the study of control theory of PDEs..978-3-031-12521-8978-3-031-12519-5Series ISSN 1571-8689 Series E-ISSN 1876-9896

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,Energy Decay Estimates of Elastic Transmission Wave/Beam Systems with a Local Kelvin–Voigt Damping,We consider a beam and a wave equation coupled on an elastic beam through transmission conditions. The damping that is locally distributed acts through one of the two equations only; its effect is transmitted to the other equation through the coupling. First, we consider the case where the dissipation acts through the beam equation

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,Asymptotic Behavior of the Transmission Euler–Bernoulli Plate and Wave Equation with a Localized KeLet a fourth and a second order evolution equation be coupled via the interface by transmission conditions, and suppose that the first one is stabilized by a localized distributed feedback. What will then be the effect of such a partial stabilization on the decay of solutions at infinity?

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Kaïs Ammari,Fathi HassineExamines the stability of a variety of coupled systems with local Kelvin-Voigt damping.Reviews the development in the stability analysis of elastic structures with local Kelvin-Voigt damping.Serves as

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