42 citations · 199 across the 17 of their papers we have counts for
18 papers
Stability of a degenerate thermoelastic equation
Kaïs Ammari, Fathi Hassine, Luc Robbiano
This work is dedicated to the study of a linear model arising in thermoelastic rod of homogeneous material. The system is resulting from a coupling of a heat and a wave equation in…
Uniform stabilization of an acoustic system
Kaïs Ammari, Fathi Hassine, Luc Robbiano
We study the problem of stabilization for the acoustic system with a spatially distributed damping. With imposing hypothesis on the structural properties of the damping term, we id…
Stabilization for Euler-Bernoulli beam equation with a local degenerated Kelvin-Voigt damping
Fathi Hassine
We consider the Euler-Bernoulli beam equation with a local Kelvin-Voigt dissipation type in the interval . The coefficient damping is only effective in and is degen…
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}_{…
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…
Logarithmic stabilization of the Euler-Bernoulli transmission plate equation with locally distributed Kelvin-Voigt damping
Fathi Hassine
In this paper we will study the asymptotic behaviour of the energy decay of a transmission plate equation with locally distributed Kelvin-Voigt feedback. Precisly, we shall prove t…
A review of depth-averaged models for dry granular flows: Savage-Hutter and -rheology
Fathi Hassine
In this work we present a review of the most popular depth-averaged models to simulate dry granular flows such as aerial avalanches. The classical Savage-Hutter model and recent on…
Weak stabilization of a transmission Euler-Bernoulli plate equation with force and moment feedback
Fathi Hassine
In this paper we will study the asymptotic behaviour of the energy decay of a transmission plate equation with force and moment feedback. Precisly, we shall prove that the energy d…