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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,Stabilization for the Wave Equation with Singular Kelvin–Voigt Damping,o as time goes to infinity. Our method is based on the frequency domain method. The main feature of our contribution is to write the resolvent problem as a transmission system to which we apply a specific Carleman estimate.

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,Stability of Elastic Transmission Systems with a Local Kelvin–Voigt Damping,d locally on any subinterval of the region occupied by the beam and only in one side of the transmission point. We prove that the semigroup associated with the equation for the transversal motion of the beam is exponentially stable, although the semigroup associated with the equation for the longitu

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Conclusion and Perspectives, the wave equation not only induces exponential energy decay but also generates an analytic semigroup, while the entire medium of the viscous type associates only an exponential semigroup and does not have any smoothing property since the spectrum of the semigroup generator has a vertical asymptote

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,Stability of Elastic Transmission Systems with a Local Kelvin–Voigt Damping,dinal motion of the beam is polynomially stable. Due to the locally distributed and unbounded nature of the damping, we use a frequency domain method and combine a contradiction argument with the multiplier technique to carry out a special analysis for the resolvent.

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den feldtheoretischen Grundlagen wird für Licht als elektromagnetische Welle eine Theorie zur Lösung praxisrelevanter Probleme der hochbitratigen optischen Nachrichtenübertragung entwickelt. Durch einen Ansatz mit allen drei Komponenten des jeweiligen Feldvektors lassen sich in Form des erweiterten

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Kaïs Ammari,Fathi Hassine den feldtheoretischen Grundlagen wird für Licht als elektromagnetische Welle eine Theorie zur Lösung praxisrelevanter Probleme der hochbitratigen optischen Nachrichtenübertragung entwickelt. Durch einen Ansatz mit allen drei Komponenten des jeweiligen Feldvektors lassen sich in Form des erweiterten