David Lannes

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Publications

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A new open boundary condition for Boussinesq-type models, applied to irregular wave fields

Mathieu Rigal , Philippe Bonneton , David Lannes

Ocean Modelling, 2026, 201, pp.102713. ⟨10.1016/j.ocemod.2026.102713⟩

Article dans une revue hal-05068186v3
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A numerical method for wave-structure interactions in the boussinesq regime

Geoffrey Beck , David Lannes , Lisl Weynans

ESAIM: Mathematical Modelling and Numerical Analysis, 2025, 59 (6), pp.2895-2931. ⟨10.1051/m2an/2025075⟩

Article dans une revue hal-04151128v1
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The $2D$ nonlinear shallow water equations with a partially immersed obstacle

Tatsuo Iguchi , David Lannes

Journal of the European Mathematical Society, 2025, ⟨10.4171/JEMS/1636⟩

Article dans une revue hal-04142546v1
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An operational discontinuous Galerkin shallow water model for coastal flood assessment

Andrea Gilberto Filippini , Luca Arpaia , Vincent Perrier , Rodrigo Pedreros , Philippe Bonneton et al.

Ocean Modelling, 2024, 192, pp.102447. ⟨10.1016/j.ocemod.2024.102447⟩

Article dans une revue hal-04761792v1
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General boundary conditions for a Boussinesq model with varying bathymetry

David Lannes , Mathieu Rigal

Studies in Applied Mathematics, 2024

Article dans une revue hal-04441332v1

Well posedness of F. John's floating body problem for a fixed object

David Lannes , Mei Ming

Revista Matemática Iberoamericana, 2024, ⟨10.4171/RMI/1592⟩

Article dans une revue hal-04681001v1
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Freely Floating Objects on a Fluid Governed by the Boussinesq Equations

Geoffrey Beck , David Lannes

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2022, 39 (3), https://ems.press/journals/aihpc/articles/5300753. ⟨10.4171/AIHPC/15⟩

Article dans une revue hal-03122615v2
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Normal mode decomposition and dispersive and nonlinear mixing in stratified fluids

Benoît Desjardins , David Lannes , Jean-Claude Saut

Water Waves, 2021, 3 (1), pp.153-192. ⟨10.1007/s42286-020-00041-x⟩

Article dans une revue hal-02400903v1
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WAVES INTERACTING WITH A PARTIALLY IMMERSED OBSTACLE IN THE BOUSSINESQ REGIME

Didier Bresch , David Lannes , Guy Métivier

Analysis & PDE, 2021, 14 (4), pp.1085-1124. ⟨10.2140/apde.2021.14.1085⟩

Article dans une revue hal-02015531v1
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Relation between orbital velocities, pressure and surface elevation in non-linear nearshore water waves

Kévin Martins , Philippe Bonneton , David Lannes , Hervé Michallet

Journal of Physical Oceanography, 2021, ⟨10.1175/JPO-D-21-0061.1⟩

Article dans une revue hal-03450890v1
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MODELING SHALLOW WATER WAVES

David Lannes

Nonlinearity, 2020

Article dans une revue hal-02947779v1
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Generating boundary conditions for a Boussinesq system

Lisl Weynans , David Lannes

Nonlinearity, 2020, 33

Article dans une revue hal-01982925v2
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Hyperbolic free boundary problems and applications to wave-structure interactions

Tatsuo Iguchi , David Lannes

Indiana University Mathematics Journal, In press

Article dans une revue hal-01818940v1
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Field data-based evaluation of methods for recovering surface wave elevation from pressure measurements

A. Mouragues , P. Bonneton , David Lannes , B. Castelle , V. Marieu

Coastal Engineering, 2019, 150, pp.147-159. ⟨10.1016/j.coastaleng.2019.04.006⟩

Article dans une revue hal-02174159v2
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The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations

David Lannes , Guy Metivier

Journal de l'École polytechnique — Mathématiques, 2018, 5, pp.455-518

Article dans une revue hal-01614321v1
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A nonlinear weakly dispersive method for recovering the elevation of irrotational surface waves from pressure measurements

Philippe Bonneton , David Lannes , Kévin Martins , Hervé Michallet

Coastal Engineering, 2018, 138, pp.1 - 8. ⟨10.1016/j.coastaleng.2018.04.005⟩

Article dans une revue hal-01778147v1
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ON THE DYNAMICS OF FLOATING STRUCTURES

David Lannes

Annals of PDE, 2017, 3 (1), pp.11. ⟨10.1007/s40818-017-0029-5⟩

Article dans une revue hal-01366200v2
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Recovering water wave elevation from pressure measurements

Philippe Bonneton , David Lannes

Journal of Fluid Mechanics, 2017, 833, pp.399-429. ⟨10.1017/jfm.2017.666⟩

Article dans une revue hal-01588687v1
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The Kelvin-Helmholtz instabilities in two-fluids shallow water models

David Lannes , Mei Ming

Fields Institute Communications, 2015, 75, pp.185-234

Article dans une revue hal-01101993v1
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A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations

David Lannes , Fabien Marche

Journal of Computational Physics, 2015, 282, pp.238-268. ⟨10.1016/j.jcp.2014.11.016⟩

Article dans une revue hal-00932858v2
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WELL-POSEDNESS AND SHALLOW-WATER STABILITY FOR A NEW HAMILTONIAN FORMULATION OF THE WATER WAVES EQUATIONS WITH VORTICITY

Angel Castro , David Lannes

Indiana University Mathematics Journal, 2015, 64, pp.1169-1270

Article dans une revue hal-01101988v1
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Nonlinear wave-current interactions in shallow water

David Lannes , Fabien Marche

Studies in Applied Mathematics, 2015, 136 (4), pp.382-423. ⟨10.1111/sapm.12110⟩

Article dans une revue hal-01331247v2
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Fully nonlinear long-waves models in presence of vorticity

Angel Castro , David Lannes

Journal of Fluid Mechanics, 2014, 759, pp.642-675

Article dans une revue hal-01007564v2
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REMARKS ON THE FULL DISPERSION KADOMTSEV-PETVIASHVLI EQUATION

David Lannes , Jean-Claude Saut

Kinetic and Related Models , 2013, 6, pp.1. ⟨10.3934/krm.2013.6.xx⟩

Article dans une revue hal-01101990v1

Nearshore Dynamics of Tsunami-like Undular Bores using a Fully Nonlinear Boussinesq Model.

Fabien Marche , Florent Chazel , Philippe Bonneton , Marion Tissier , David Lannes

Journal of Coastal Research, 2013, SI64, pp.603-607

Article dans une revue hal-00799006v1
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A stability criterion for two-fluid interfaces and applications

David Lannes

Archive for Rational Mechanics and Analysis, 2013, 208, pp.481-567

Article dans une revue hal-00486237v1

Mettre les vagues en équations

David Lannes , Joanna Jongwane

Interstices, 2013

Article dans une revue hal-01350463v1
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Water waves over a rough bottom in the shallow water regime

Walter Craig , David Lannes , Catherine Sulem

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2012, 29, pp.233-259. ⟨10.1016/j.anihpc.2011.10.004⟩

Article dans une revue hal-00634817v1

A new approach to handle wave breaking in fully non-linear Boussinesq models.

Fabien Marche , Florent Chazel , Philippe Bonneton , David Lannes , Marion Tissier

Coastal Engineering, 2012, 67, pp.54--66. ⟨10.1016/j.coastaleng.2012.04.004⟩

Article dans une revue istex hal-00798996v1

Recent advances in Serre-Green Naghdi modelling for wave transformation, breaking and runup processes

Philippe Bonneton , Eric Barthélemy , Florent Chazel , Rodrigo Cienfuegos , David Lannes et al.

European Journal of Mechanics - B/Fluids, 2011, pp.doi:10.1016/j.euromechflu.2011.02.005. ⟨10.1016/j.euromechflu.2011.02.005⟩

Article dans une revue istex hal-00606543v1

Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model

Florent Chazel , David Lannes , Fabien Marche

Journal of Scientific Computing, 2011, 48 (1-3), pp.105-116. ⟨10.1007/s10915-010-9395-9⟩

Article dans une revue hal-00482561v1
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A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model

Philippe Bonneton , Florent Chazel , David Lannes , Fabien Marche , Marion Tissier

Journal of Computational Physics, 2010, 230 (4), pp.1479-1498. ⟨10.1016/j.jcp.2010.11.015⟩

Article dans une revue hal-00482564v1

Short pulses approximation in dispersive media

David Lannes , Mathieu Colin

SIAM Journal on Mathematical Analysis, 2009, 41 (2), pp.708-732. ⟨10.1137/070711724⟩

Article dans une revue inria-00440349v1

The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

David Lannes , Adrian Constantin

Archive for Rational Mechanics and Analysis, 2008, sous presse

Article dans une revue hal-00281511v1

A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations

David Lannes , Borys Alvarez-Samaniego

Indiana University Mathematics Journal, 2008, 57 (1), pp.97-131

Article dans une revue hal-00281508v1

Asymptotic models for internal waves

David Lannes , Jerry Bona , Jean-Claude Saut

Journal de Mathématiques Pures et Appliquées, 2008, sous presse

Article dans une revue hal-00281510v1

Large time existence for 3D water-waves and asymptotics

David Lannes , Borys Alvarez-Samaniego

Inventiones Mathematicae, 2008, 171, pp.485-541

Article dans une revue hal-00281509v1

Weakly transverse Boussinesq systems and the KP approximation

David Lannes , Jean-Claude Saut

Nonlinearity, 2006, pp.2853-2875

Article dans une revue hal-00281507v1

Sharp Estimates for pseudo-differential operators with symbolsof limited smoothness and commutators

David Lannes

Journal of Functional Analysis, 2006, 232, pp.495-539

Article dans une revue hal-00281506v1

Long Wave Approximations for Water-Waves

David Lannes , Thierry Colin , Jerry Bona

Archive for Rational Mechanics and Analysis, 2005, 178, pp.373-410

Article dans une revue hal-00258833v1

Well-Posedness of the Water Waves Equations

David Lannes

J. Am. Math. Soc.,, 2005, 18, pp.605-654

Article dans une revue hal-00258834v1
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Wave power farm made of many rigid floating structures in Boussinesq regime

Geoffrey Beck , David Lannes , Lisl Weynans

WAVES 2022 — 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jul 2022, Palaiseau, France

Communication dans un congrès hal-03628899v1

Several models for wave-structure interactions

David Lannes

Workshop on Nonlinear Water Waves, May 2018, Kyoto, Japan. pp.144-155

Communication dans un congrès hal-02505302v1
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UHAINA : A parallel high performance unstructured near-shore wave model

Andrea Gilberto Filippini , Sébastien de Brye , Vincent Perrier , Fabien Marche , Mario Ricchiuto et al.

Journées Nationales Génie Côtier - Génie Civil, May 2018, La Rochelle, France. pp.47-56, ⟨10.5150/jngcgc.2018.006⟩

Communication dans un congrès hal-01824108v1

A simple and accurate nonlinear method for recovering the surface wave elevation from pressure measurements

Philippe Bonneton , Arthur Mouragues , David Lannes , Kévin Martins , Hervé Michallet

36th International Conference on Coastal Engineering 2018, Jul 2018, Baltimore, United States. ⟨10.9753/icce.v36.waves.46⟩

Communication dans un congrès hal-02047125v1
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Étude comparative des méthodes de reconstruction du champ de vagues à partir de la mesure de pression : Application à la plage de La Salie

Arthur Mouragues , Philippe Bonneton , David Lannes , Vincent Marieu , Guillaume Detandt et al.

Journées Nationales Génie Côtier - Génie Civil, May 2018, La Rochelle, France. ⟨10.5150/jngcgc.2018.013⟩

Communication dans un congrès hal-01830292v1
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Variants of the focusing NLS equation. Derivation, justification and open problems related to filamentation

Eric Dumas , David Lannes , Jeremie Szeftel

CRM Series in Mathematical Physics, Springer International Publishing, pp.19-75, 2016, Laser Filamentation

Chapitre d'ouvrage hal-00997611v2
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THE F. JOHN MODEL AND CUMMINS' EQUATIONS FOR FREELY FLOATING OBJECTS

David Lannes , Martin Oen Paulsen

2025

Pré-publication, Document de travail hal-05376196v1
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The moving contact line problem for the $2D$ nonlinear shallow water equations

Tatsuo Iguchi , David Lannes

2025

Pré-publication, Document de travail hal-04915965v1
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Mathematics for 2d Interfaces

Claude Bardos , David Lannes

2010

Pré-publication, Document de travail hal-00487357v1
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Short Pulses Approximations in Dispersive Media

Mathieu Colin , David Lannes

2007

Pré-publication, Document de travail hal-00201084v1
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Derivation of asymptotic two-dimensional time-dependent equations for ocean wave propagation

David Lannes , Philippe Bonneton

2007

Pré-publication, Document de travail hal-00177251v1
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The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

Adrian Constantin , David Lannes

2007

Pré-publication, Document de travail hal-00170213v1
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Asymptotic Models for Internal Waves

Jerry Bona , David Lannes , Jean-Claude Saut

2007

Pré-publication, Document de travail hal-00201083v1
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Large time existence for $3D$ water-waves and asymptotics

Borys Alvarez-Samaniego , David Lannes

2007

Pré-publication, Document de travail hal-00128402v2
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A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations

Borys Alvarez-Samaniego , David Lannes

2007

Pré-publication, Document de travail hal-00126256v1

Focusing at a point with caustic crossing for a class of nonlinear equations

Remi Carles , David Lannes

2003

Pré-publication, Document de travail hal-00128346v1