1k citations · 1.9k across the 27 of their papers we have counts for
31 papers
General boundary conditions for a Boussinesq model with varying bathymetry
David Lannes, Mathieu Rigal
This paper is devoted to the theoretical and numerical investigation of the initial boundary value problem for a system of equations used for the description of waves in coastal ar…
A numerical method for wave-structure interactions in the Boussinesq regime
Geoffrey Beck, David Lannes, Lisl Weynans
The goal of this work is to study waves interacting with partially immersed objects allowed to move freely in the vertical direction, and in a regime in which the propagation of th…
The nonlinear shallow water equations with a partially immersed obstacle
David Lannes, Tatsuo Iguchi
This article is devoted to the proof of the well-posedness of a model describing waves propagating in shallow water in horizontal dimension and in the presence of a fixed par…
Freely floating objects on a fluid governed by the Boussinesq equations
Geoffrey Beck, David Lannes
We investigate here the interactions of waves governed by a Boussinesq system with a partially immersed body allowed to move freely in the vertical direction. We show that the whol…
Modeling shallow water waves
David Lannes
We review here the derivation of many of the most important models that appear in the literature (mainly in coastal oceanography) for the description of waves in shallow water. We…
Normal mode decomposition and dispersive and nonlinear mixing in stratified fluids
Benoit Desjardins, David Lannes, Jean-Claude Saut
Motivated by the analysis of the propagation of internal waves in a stratified ocean, we consider in this article the incompressible Euler equations with variable density in a flat…