41 citations · 69 across the 12 of their papers we have counts for
7 papers · 1 filter
Part II On strong and non uniform stability of locally damped Timoshenko beam: Mathematical corrections to the proof of Theorem 2.2 in the publication referenced as [1] in the bibliography
Fatiha Alabau-Boussouira
In part I of the rebuttal (see [2] to the article [1] entitled "Uniform stabilization for the Timoshenko beam by a locally distributed damping" published in 2003, in the journal El…
Part I: Rebuttal to "Uniform stabilization for the Timoshenko beam by a locally distributed damping"
Fatiha Alabau-Boussouira
A paper, entitled "Uniform stabilization for the Timoshenko beam by a locally distributed damping" was published in 2003, in the journal Electronic Journal of Differential Equation…
Rebuttal to "Well-posedness and optimal decay rates for the viscoelastic Kirchhoff equation"
Fatiha Alabau-Boussouira
A paper, entitled "Well-posedness and optimal decay rates for the viscoelastic Kirchhoff equation" was published in 2016, in the journal Boletim da Sociedade Paranaense de Matemati…
Nonlinear damped partial differential equations and their uniform discretizations
Fatiha Alabau-Boussouira, Yannick Privat, Emmanuel Trélat
We establish sharp energy decay rates for a large class of nonlinearly first-order damped systems, and we design discretization schemes that inherit of the same energy decay rates,…
Control and stabilization of degenerate wave equations
Fatiha Alabau-Boussouira, Piermarco Cannarsa, Günter Leugering
We study a wave equation in one space dimension with a general diffusion coefficient which degenerates on part of the boundary. Degeneracy is measured by a real parameter .…
Finite-time stabilization of a network of strings
Fatiha Alabau-Boussouira, Vincent Perrollaz, Lionel Rosier
We investigate the finite-time stabilization of a tree-shaped network of strings. Transparent boundary conditions are applied at all the external nodes. At any internal node, in ad…
Exponential stability of the wave equation with memory and time delay
Fatiha Alabau-Boussouira, Serge Nicaise, Cristina Pignotti
We study the asymptotic behaviour of the wave equation with viscoelastic damping in presence of a time-delayed damping. We prove exponential stability if the amplitude of the time…