output
20072023
most citedA splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model

189 citations

9 papers

math.GN2023

The monoid of numbers of the form 1 < a^q /b^p < a

Laurent Fallot

This paper is a study of the set of rational numbers of the form 1 < a^q /b^p < a with a and b co-prime integers. The set F (a,b) of these numbers, with an appropriate binary law,…

math.NA2019

Implementation and Evaluation of Breaking Detection Criteria for a Hybrid Boussinesq Model

Paola Bacigaluppi, Mario Ricchiuto, Philippe Bonneton

The aim of the present work is to develop a model able to represent the propagation and transformation of waves in nearshore areas. The focus is on the phenomena of wave breaking,…

physics.flu-dyn2017★ 33 cited

Recovering water wave elevation from pressure measurements

Philippe Bonneton, David Lannes

The reconstruction of water wave elevation from bottom pressure measurements is an important issue for coastal applications, but corresponds to a difficult mathematical problem. In…

astro-ph.IM2016★ 24 cited

The self-coherent camera as a focal plane fine phasing sensor

Pierre Janin-Potiron, Patrice Martinez, Pierre Baudoz +1

Direct imaging of Earth-like exoplanets requires high contrast imaging capability and high angular resolution. Primary mirror segmentation is a key technological solution for large…

astro-ph.EP2016★ 11 cited

Effects of disc asymmetries on astrometric measurements - Can they mimic planets?

Quentin Kral, Jean Schneider, Grant Kennedy +1

Astrometry covers a parameter space that cannot be reached by RV or transit methods to detect terrestrial planets on wide orbits. In addition, high accuracy astrometric measurement…

astro-ph.EP2015★ 60 cited

Photo-dynamical mass determination of the multi-planetary system K2-19

S. C. C. Barros, J. M. Almenara, O. Demangeon +32

K2-19 is the second multi-planetary system discovered with K2 observations. The system is composed of two Neptune size planets close to the 3:2 mean-motion resonance. To better cha…

math.NA2010★ 189 cited

A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model

Philippe Bonneton, Florent Chazel, David Lannes +2

The fully nonlinear and weakly dispersive Green-Naghdi model for shallow water waves of large amplitude is studied. The original model is first recast under a new formulation more…

physics.ao-ph2010★ 33 cited

Comments on "The Depth-Dependent Current and Wave Interaction Equations: A Revision"

Anne-Claire Bennis, Fabrice Ardhuin

Equations for the wave-averaged three-dimensional momentum equations have been published in this journal. It appears that these equations are not consistent with the known depth-in…

physics.ao-ph2007

Derivation of asymptotic two-dimensional time-dependent equations for ocean wave propagation

David Lannes, Philippe Bonneton

A general method for the derivation of asymptotic nonlinear shallow water and deep water models is presented. Starting from a general dimensionless version of the water-wave equati…