42 citations · 199 across the 17 of their papers we have counts for
7 papers · 1 filter
Rapid exponential stabilization of a 1-D transmission wave equation with in-domain anti-damping
Fathi Hassine
We consider the problem of pointwise stabilization of a one-dimensional wave equation with an internal spatially varying anti-damping term. We design a feedback law based on the ba…
Asymptotic behavior of the transmission Euler-Bernoulli plate and wave equation with a localized Kelvin-Voigt damping
Fathi Hassine
Let a fourth and a second order evolution equations be coupled via the interface by transmission conditions, and suppose that the first one is stabilized by a localized distributed…
Energy decay estimates of elastic transmission wave/beam systems with a local Kelvin-Voigt damping
Fathi Hassine
We consider a beam and a wave equations coupled on an elastic beam through transmission conditions. The damping which is locally distributed acts through one of the two equations o…
Stability of elastic transmission systems with a local Kelvin-Voigt damping
Fathi Hassine
In this paper, we consider the longitudinal and transversal vibrations of the transmission Euler-Bernoulli beam with Kelvin-Voigt damping distributed locally on any subinterval of…
Remark on the pointwise stabilization of an elastic string equation
Fathi Hassine
We consider an initial and boundary value problem the one dimensional wave equation with damping concentrated at an interior point. We prove a result of a logarithmic decay of the…
Stabilization for the wave equation with singular Kelvin-Voigt damping
Kaïs Ammari, Fathi Hassine, Luc Robbiano
We consider the wave equation with Kelvin-Voigt damping in a bounded domain. The exponential stability result proposed by Liu and Rao or Tébou for that system assumes that the damp…
Fractional-feedback stabilization for a class of evolution systems
Kaïs Ammari, Fathi Hassine, Luc Robbiano
We study the problem of stabilization for a class of evolution systems with fractional-damping. After writing the equations as an augmented system we prove in this article first th…