15 citations · 22 across the 10 of their papers we have counts for
4 papers · 1 filter
Recovering the uniform boundary observability with spectral Legendre-Galerkin formulations of the 1-D wave equation
Ludovick Gagnon, José Urquiza
For a Legendre-Galerkin semi-discretization of the 1-D homogeneous wave equation, the high frequency components of the numerical solution prevent us from obtaining the boundary obs…
Rapid Stabilization of a Linearized Bilinear Schrödinger Equation
Jean-Michel Coron, Ludovick Gagnon, Morgan Morancey
We consider the one dimensional Schrödinger equation with a bilinear control and prove the rapid stabilization of the linearized equation around the ground state. The feedback law…
Qualitative Description of the Particle Trajectories for the -Solitons Solution of the Korteweg-de Vries Equation
Ludovick Gagnon
The qualitative properties of the particle trajectories of the -solitons solution of the KdV equation are recovered from the first order velocity field by the introduction of th…
Lagrangian Controllability of the 1-D Korteweg-de Vries Equation
Ludovick Gagnon
We consider in this paper the problem of the Lagrangian controllability for the Korteweg-de Vries equation. Using the -solitons solution, we prove that, for any length of the sp…