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math.AP2010
Spectral analysis and stabilization of a chain of serially connected Euler-Bernoulli beams and strings
K. Ammari, D. Mercier, V. Régnier +1
We consider Euler-Bernoulli beams and strings alternatively connected to one another and forming a particular network which is a chain beginning with a string. We study two…
math.AP2008
Mean position of a particle submitted to a potential barrier
Denis Mercier, Virginie Regnier
A one-dimensional Klein-Gordon problem, which is a physical model for a quantum particle submitted to a potential barrier, is studied numerically : using a variational formulation…
math.AP2006★ 4 cited
Global existence and causality for a transmission problem with a repulsive nonlinearity
F. Ali Mehmeti, V. Regnier
It is well-known that the solution of the classical linear wave equation with compactly supported initial condition and vanishing initial velocity is also compactly supported in a…