David Lannes

Publications

Article dans une revue (41)

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
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
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
An operational discontinuous Galerkin shallow water model for coastal flood assessment Andrea Gilberto Filippini,Luca Arpaia,Vincent Perrier,Rodrigo Pedreros,Philippe Bonnetonet al. Ocean Modelling, 2024, 192, pp.102447. ⟨10.1016/j.ocemod.2024.102447⟩ Article dans une revue hal-04761792v1
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
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
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
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
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
MODELING SHALLOW WATER WAVES David Lannes Nonlinearity, 2020 Article dans une revue hal-02947779v1
Generating boundary conditions for a Boussinesq system Lisl Weynans,David Lannes Nonlinearity, 2020, 33 Article dans une revue hal-01982925v2
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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 Lanneset 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
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
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
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
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
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

Communication dans un congrès (5)

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
UHAINA : A parallel high performance unstructured near-shore wave model Andrea Gilberto Filippini,Sébastien de Brye,Vincent Perrier,Fabien Marche,Mario Ricchiutoet 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
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 Detandtet al. Journées Nationales Génie Côtier - Génie Civil, May 2018, La Rochelle, France. ⟨10.5150/jngcgc.2018.013⟩ Communication dans un congrès hal-01830292v1

Ouvrages (2)

The Water Waves Problem: Mathematical Analysis and Asymptotics David Lannes , 188, 2013, Mathematical Surveys and Monographs Ouvrages hal-01101991v1
Preface: special issue on asymptotic description of natural phenomena Jerry L. Bona,Mathieu Colin,Thierry Colin,David Lannes 2009 Ouvrages hal-01254666v1

Chapitre d'ouvrage (1)

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

Pré-publication, Document de travail (10)

THE F. JOHN MODEL AND CUMMINS' EQUATIONS FOR FREELY FLOATING OBJECTS David Lannes,Martin Oen Paulsen 2025 Pré-publication, Document de travail hal-05376196v1
The moving contact line problem for the $2D$ nonlinear shallow water equations Tatsuo Iguchi,David Lannes 2025 Pré-publication, Document de travail hal-04915965v1
Mathematics for 2d Interfaces Claude Bardos,David Lannes 2010 Pré-publication, Document de travail hal-00487357v1
Short Pulses Approximations in Dispersive Media Mathieu Colin,David Lannes 2007 Pré-publication, Document de travail hal-00201084v1
Derivation of asymptotic two-dimensional time-dependent equations for ocean wave propagation David Lannes,Philippe Bonneton 2007 Pré-publication, Document de travail hal-00177251v1
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations Adrian Constantin,David Lannes 2007 Pré-publication, Document de travail hal-00170213v1
Asymptotic Models for Internal Waves Jerry Bona,David Lannes,Jean-Claude Saut 2007 Pré-publication, Document de travail hal-00201083v1
Large time existence for $3D$ water-waves and asymptotics Borys Alvarez-Samaniego,David Lannes 2007 Pré-publication, Document de travail hal-00128402v2
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

Vidéo (3)

Geoffrey Beck and David Lannes - Wave-structure interactions 2 David Lannes,Fanny Bastien 2023 Vidéo hal-04743810v1
Geoffrey Beck and David Lannes - Wave-structure interactions 3 David Lannes,Fanny Bastien 2023 Vidéo hal-04743798v1
Geoffrey Beck and David Lannes - Wave-structure interactions 1 David Lannes,Fanny Bastien 2023 Vidéo hal-04743805v1