43 citations · 378 across the 28 of their papers we have counts for
5 papers · 1 filter
Spectral asymptotics of a broken delta interaction
Vincent Duchene, Nicolas Raymond
This paper is concerned with the spectral analysis of a Hamiltonian with a -interaction supported along a broken line with angle . The bound states with energy slightly below…
On the rigid-lid approximation for two shallow layers of immiscible fluids with small density contrast
Vincent Duchene
The rigid-lid approximation is a commonly used simplification in the study of density-stratified fluids in oceanography. Roughly speaking, one assumes that the displacements of the…
Shallow water asymptotic models for the propagation of internal waves
Vincent Duchene, Samer Israwi, Raafat Talhouk
We are interested in asymptotic models for the propagation of internal waves at the interface between two shallow layers of immiscible fluid, under the rigid-lid assumption. We rev…
A new fully justified asymptotic model for the propagation of internal waves in the Camassa-Holm regime
Vincent Duchene, Samer Israwi, Raafat Talhouk
This study deals with asymptotic models for the propagation of one-dimensional internal waves at the interface between two layers of immiscible fluids of different densities, under…
Homogenized description of defect modes in periodic structures with localized defects
Vincent Duchêne, Iva Vukićević, Michael I. Weinstein
A spatially localized initial condition for an energy-conserving wave equation with periodic coefficients disperses (spatially spreads) and decays in amplitude as time advances. Th…