43 citations · 378 across the 28 of their papers we have counts for
4 papers · 1 filter
Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon
Vincent Duchene
This paper deals with the dead-water phenomenon, which occurs when a ship sails in a stratified fluid, and experiences an important drag due to waves below the surface. More genera…
Scattering, homogenization and interface effects for oscillatory potentials with strong singularities
Vincent Duchêne, Michael I. Weinstein
We study one-dimensional scattering for a decaying potential with rapid periodic oscillations and strong localized singularities. In particular, we consider the Schrödinger equatio…
Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation
Vincent Duchene
We study here some asymptotic models for the propagation of internal and surface waves in a two-fluid system. We focus on the so-called long wave regime for one dimensional waves,…
Wave operator bounds for 1-dimensional Schrödinger operators with singular potentials and applications
Vincent Duchêne, Jeremy L. Marzuola, Michael I. Weinstein
Boundedness of wave operators for Schrödinger operators in one space dimension for a class of singular potentials, admitting finitely many Dirac delta distributions, is proved. App…