43 citations · 378 across the 28 of their papers we have counts for
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math.AP2010★ 13 cited
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…
math.AP2010★ 19 cited
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,…
math.AP2010★ 22 cited
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…