2 citations · 3 across the 7 of their papers we have counts for
8 papers
Polynomial energy decay rate of a 2D Piezoelectric beam with magnetic effect on a rectangular domain without geometric conditions
Mohammad Akil, Virginie Régnier
In this paper, we investigate the stability of coupled equations modelling a 2D piezoelectric beam with magnetic effect with only one local viscous damping on a rectangular domain…
Do Shape Memory Alloy cables restrain the vibrations of girder bridges? -- a mathematical point of view
Virginie Régnier
We study the energy decay of a damped Euler-Bernoulli beam which is subject to a pointwise feedback force representing a Shape Memory Alloy (SMA) cable. The problem we consider is…
Stabilization of coupled wave equations with viscous damping on cylindrical and non-regular domains: Cases without the geometric control condition
Mohammad Akil, Haidar Badawi, Serge Nicaise +1
In this paper, we investigate the direct and indirect stability of locally coupled wave equations with local viscous damping on cylindrical and non-regular domains without any geom…
Non uniform stability for the Timoshenko beam with tip load
Denis Mercier, Virginie Régnier
In this paper we consider a hybrid elastic model consisting of a Timoshenko beam and a tip load at the free end of the beam. Under the equal speed wave propagation condition, we sh…
Energy flow above the threshold of tunnel effect
Felix Ali Mehmeti, Robert Haller-Dintelmann, Virginie Régnier
We consider the Klein-Gordon equation on two half-axes connected at their origins. We add a potential that is constant but different on each branch. In a previous paper, we studied…
The Influence of the Tunnel Effect on L-infinity-time decay
Felix Ali Mehmeti, Robert Haller-Dintelmann, Virginie Régnier
We consider the Klein-Gordon equation on a star-shaped network composed of n half-axes connected at their origins. We add a potential which is constant but different on each branch…