31 citations · 42 across the 7 of their papers we have counts for
12 papers
Stability of a star-shaped network with local Kelvin-Voigt damping and non-smooth coefficient at interface
Fathi Hassine
In this paper, we study the stability problem of a star-shaped network of elastic strings with a local Kelvin-Voigt damping. Under the assumption that the damping coefficients have…
Logarithmic stabilization of an acoustic system with a damping term of Brinkman type
Kaïs Ammari, Fathi Hassine, Luc Robbiano
We study the problem of stabilization for the acoustic system with a spatially distributed damping. Without imposing any hypotheses on the structural properties of the damping term…
Stability for coupled waves with locally disturbed Kelvin-Voigt damping
Fathi Hassine, Nadia Souayeh
We consider a coupled wave system with partial Kelvin-Voigt damping in the interval (-1,1), where one wave is dissipative and the other does not. When the damping is effective in t…
Stabilization for vibrating plate with singular structural damping
Kaïs Ammari, Fathi Hassine, Luc Robbiano
We consider the dynamic elasticity equation, modeled by the Euler-Bernoulli plate equation, with a locally distributed singular structural (or viscoelastic ) damping in a boundary…
Stabilization of fractional-evolution systems
Kaïs Ammari, Fathi Hassine, Luc Robbiano
This paper is devoted to the analysis of the problem of stabilization of fractional (in time) partial differential equations. We consider the following equation $$ \partial^{α,η}_{…
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…