activity
20092026
most citedAsymptotic shallow water models for internal waves in a two-fluid system with a free surface

43 citations · 378 across the 28 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

math.AP2012★ 26 cited

Decoupled and unidirectional asymptotic models for the propagation of internal waves

Vincent Duchene

We study the relevance of various scalar equations, such as inviscid Burgers', Korteweg-de Vries (KdV), extended KdV, and higher order equations (of Camassa-Holm type), as asymptot…

math.AP2012★ 15 cited

Scattering and Localization Properties of Highly Oscillatory Potentials

Vincent Duchêne, Iva Vukićević, Michael I. Weinstein

We investigate scattering, localization and dispersive time-decay properties for the one-dimensional Schrödinger equation with a rapidly oscillating and spatially localized potenti…