43 citations · 172 across the 24 of their papers we have counts for
33 papers
On gravito-inertial surface waves
Yves Colin de Verdière, Jérémie Vidal
In geophysical environments, wave motions that are shaped by the action of gravity and global rotation bear the name of gravito-inertial waves. We present a geometrical description…
Internal waves in 2D domains with ergodic classical dynamics
Yves Colin de Verdière, Zhenhao Li
We study a model of internal waves in an effectively 2D aquarium under periodic forcing. In the case when the underlying classical dynamics has sufficiently irrational rotation num…
Spectral asymptotics for sub-Riemannian Laplacians
Yves Colin de Verdìère, Luc Hillairet, Emmanuel Trélat
We study spectral properties of sub-Riemannian Laplacians, which are hypoelliptic operators. The main objective is to obtain quantum ergodicity results, what we have achieved in th…
Periodic geodesics for contact sub-Riemannian 3D manifolds
Yves Colin de Verdìère
The goal of this paper is to study periodic geodesics for sub-Riemannian metrics on a contact 3D-manifold.We develop two rather independent subjects:1) The existence of closed geod…
Propagation of well-prepared states along Martinet singular geodesics
Yves Colin de Verdière, Cyril Letrouit
We prove that for the Martinet wave equation with "flat" metric, which a subelliptic wave equation, singularities can propagate at any speed between 0 and 1 along any singular geod…
Large time asymptotics of the wave fronts length II: surfaces with integrable Hamiltonians
Yves Colin de Verdìère
In a previous work, David Vicente gave a formula showing that the wave front issued of a point of the unit disk hasa large time linear asymptotics. In the present paper, we extend…