5 papers · 1 filter
Exponential stability for the nonlinear Schrödinger equation on a star-shaped network
Kaïs Ammari, Ahmed Bchatnia, Naima Mehenaoui
In this paper, we prove the exponential stability of the solution of the nonlinear dissipative Schrödinger equation on a star-shaped network and where the damping is localized on o…
Decay of the local energy for the solutions of the critical Klein-Gordon equation
Ahmed Bchatnia, Naima Mehenaoui
In this paper, we prove the exponential decay of local energy for the Klein-Gordon equation with localized critical nonlinearity. The proof relies on generalized Strichartz estimat…
Improved results on the nonlinear feedback stabilization of a rotating body-beam system
K. Ammari, A. Bchatnia, B. Chentouf
This article is dedicated to the investigation of the stabilization problem of a flexible beam attached to the center of a rotating disk. We assume that the feedback law contains a…
A remark on observability of the wave equation with moving boundary
K. Ammari, A. Bchatnia, K. El Mufti
We deal with the wave equation with assigned moving boundary () upon which Dirichlet or mixed boundary conditions are specified, here is assumed to move slower tha…
Stabilization of the nonlinear damped wave equation via linear weak observability
K. Ammari, A. Bchatnia, K. El Mufti
We consider the problem of energy decay rates for nonlinearly damped abstract infinite dimensional systems. We prove sharp, simple and quasi-optimal energy decay rates through an i…