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Number of documents

48


Journal articles30 documents

  • A. Mouragues, P. Bonneton, David Lannes, B. Castelle, V. Marieu. Field data-based evaluation of methods for recovering surface wave elevation from pressure measurements. Coastal Engineering, Elsevier, 2019, 150, pp.147-159. ⟨10.1016/j.coastaleng.2019.04.006⟩. ⟨hal-02174159⟩
  • Tatsuo Iguchi, David Lannes. Hyperbolic free boundary problems and applications to wave-structure interactions. Indiana University Mathematics Journal, Indiana University Mathematics Journal, In press. ⟨hal-01818940⟩
  • David Lannes, Guy Metivier. The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations. Journal de l'Ecole Polytechnique, Ecole Polytechnique, 2018, 5, pp.455-518. ⟨hal-01614321⟩
  • Philippe Bonneton, David Lannes, Kévin Martins, Hervé Michallet. A nonlinear weakly dispersive method for recovering the elevation of irrotational surface waves from pressure measurements. Coastal Engineering, Elsevier, 2018, 138, pp.1 - 8. ⟨10.1016/j.coastaleng.2018.04.005⟩. ⟨hal-01778147⟩
  • David Lannes. ON THE DYNAMICS OF FLOATING STRUCTURES. Annals of PDE, Springer, 2017, 3 (1), pp.11. ⟨10.1007/s40818-017-0029-5⟩. ⟨hal-01366200v2⟩
  • Philippe Bonneton, David Lannes. Recovering water wave elevation from pressure measurements. Journal of Fluid Mechanics, Cambridge University Press (CUP), In press, 833, pp.399-429. ⟨hal-01588687⟩
  • David Lannes, Mei Ming. The Kelvin-Helmholtz instabilities in two-fluids shallow water models. Fields Institute Communications, Springer, 2015, 75, pp.185-234. ⟨hal-01101993⟩
  • David Lannes, Fabien Marche. A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations. Journal of Computational Physics, Elsevier, 2015, 282, pp.238-268. ⟨10.1016/j.jcp.2014.11.016⟩. ⟨hal-00932858v2⟩
  • Angel Castro, David Lannes. WELL-POSEDNESS AND SHALLOW-WATER STABILITY FOR A NEW HAMILTONIAN FORMULATION OF THE WATER WAVES EQUATIONS WITH VORTICITY. Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2015, 64, pp.1169-1270. ⟨hal-01101988⟩
  • David Lannes, Fabien Marche. Nonlinear wave-current interactions in shallow water. Studies in Applied Mathematics, Wiley-Blackwell, 2015, 136 (4), pp.382-423. ⟨10.1111/sapm.12110⟩. ⟨hal-01331247v2⟩
  • Angel Castro, David Lannes. Fully nonlinear long-waves models in presence of vorticity. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2014, 759, pp.642-675. ⟨hal-01007564v2⟩
  • Fabien Marche, Florent Chazel, Philippe Bonneton, Marion Tissier, David Lannes. Nearshore Dynamics of Tsunami-like Undular Bores using a Fully Nonlinear Boussinesq Model.. Journal of Coastal Research, Coastal Education and Research Foundation, 2013, SI64, pp.603-607. ⟨hal-00799006⟩
  • David Lannes. A stability criterion for two-fluid interfaces and applications. Archive for Rational Mechanics and Analysis, Springer Verlag, 2013, 208, pp.481-567. ⟨hal-00486237⟩
  • David Lannes, Joanna Jongwane. Mettre les vagues en équations. Interstices, INRIA, 2013. ⟨hal-01350463⟩
  • David Lannes, Jean-Claude Saut. REMARKS ON THE FULL DISPERSION KADOMTSEV-PETVIASHVLI EQUATION. Kinetic and Related Models , AIMS, 2013, 6, pp.1. ⟨10.3934/krm.2013.6.xx⟩. ⟨hal-01101990⟩
  • Fabien Marche, Florent Chazel, Philippe Bonneton, David Lannes, Marion Tissier. A new approach to handle wave breaking in fully non-linear Boussinesq models.. Coastal Engineering, Elsevier, 2012, 67, pp.54--66. ⟨hal-00798996⟩
  • Walter Craig, David Lannes, Catherine Sulem. Water waves over a rough bottom in the shallow water regime. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2012, 29, pp.233-259. ⟨hal-00634817⟩
  • Philippe Bonneton, Eric Barthélemy, Florent Chazel, Rodrigo Cienfuegos, David Lannes, et al.. Recent advances in Serre-Green Naghdi modelling for wave transformation, breaking and runup processes. European Journal of Mechanics - B/Fluids, Elsevier, 2011, pp.doi:10.1016/j.euromechflu.2011.02.005. ⟨hal-00606543⟩
  • Philippe Bonneton, Eric Barthélemy, Florent Chazel, Rodrigo Cienfuegos, David Lannes, et al.. Recent advances in Serre-Green Naghdi modelling for wave transformation, breaking and runup processes. European Journal of Mechanics - B/Fluids, Elsevier, 2011, 30 (30), pp.589-597. ⟨10.1016/j.euromechflu.2011.02.005⟩. ⟨hal-00482560⟩
  • Florent Chazel, David Lannes, Fabien Marche. Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model. Journal of Scientific Computing, Springer Verlag, 2011, 48 (1-3), pp.105-116. ⟨10.1007/s10915-010-9395-9⟩. ⟨hal-00482561⟩
  • Philippe Bonneton, Florent Chazel, David Lannes, Fabien Marche, Marion Tissier. A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model. Journal of Computational Physics, Elsevier, 2010, 230 (4), pp.1479-1498. ⟨10.1016/j.jcp.2010.11.015⟩. ⟨hal-00482564⟩
  • David Lannes, Mathieu Colin. Short pulses approximation in dispersive media. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2009, 41 (2), pp.708-732. ⟨10.1137/070711724⟩. ⟨inria-00440349⟩
  • David Lannes, Jerry Bona, Jean-Claude Saut. Asymptotic models for internal waves. Journal de Mathématiques Pures et Appliquées, Elsevier, 2008, sous presse. ⟨hal-00281510⟩
  • David Lannes, Adrian Constantin. The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Archive for Rational Mechanics and Analysis, Springer Verlag, 2008, sous presse. ⟨hal-00281511⟩
  • David Lannes, Borys Alvarez-Samaniego. A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations. Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2008, 57 (1), pp.97-131. ⟨hal-00281508⟩
  • David Lannes, Borys Alvarez-Samaniego. Large time existence for 3D water-waves and asymptotics. Inventiones Mathematicae, Springer Verlag, 2008, 171, pp.485-541. ⟨hal-00281509⟩
  • David Lannes, Jean-Claude Saut. Weakly transverse Boussinesq systems and the KP approximation. Nonlinearity, IOP Publishing, 2006, pp.2853-2875. ⟨hal-00281507⟩
  • David Lannes. Sharp Estimates for pseudo-differential operators with symbolsof limited smoothness and commutators. Journal of Functional Analysis, Elsevier, 2006, pp.495-539. ⟨hal-00281506⟩
  • David Lannes. Well-Posedness of the Water Waves Equations. J. Am. Math. Soc.,, 2005, 18, pp.605-654. ⟨hal-00258834⟩
  • David Lannes, Thierry Colin, Jerry Bona. Long Wave Approximations for Water-Waves. Archive for Rational Mechanics and Analysis, Springer Verlag, 2005, 178, pp.373-410. ⟨hal-00258833⟩

Conference papers3 documents

  • Arthur Mouragues, Philippe Bonneton, David Lannes, Vincent Marieu, Guillaume Detandt, et al.. Étude comparative des méthodes de reconstruction du champ de vagues à partir de la mesure de pression : Application à la plage de La Salie. Journées Nationales Génie Côtier - Génie Civil, May 2018, La Rochelle, France. ⟨10.5150/jngcgc.2018.013⟩. ⟨hal-01830292⟩
  • Andrea Gilberto Filippini, Sébastien de Brye, Vincent Perrier, Fabien Marche, Mario Ricchiuto, et al.. UHAINA : A parallel high performance unstructured near-shore wave model. Journées Nationales Génie Côtier - Génie Civil, May 2018, La Rochelle, France. pp.47-56, ⟨10.5150/jngcgc.2018.006⟩. ⟨hal-01824108⟩
  • Philippe Bonneton, Arthur Mouragues, David Lannes, Kévin Martins, Hervé Michallet. A simple and accurate nonlinear method for recovering the surface wave elevation from pressure measurements. 36th International Conference on Coastal Engineering 2018, Jul 2018, Baltimore, United States. ⟨hal-02047125⟩

Books1 document

  • David Lannes. The Water Waves Problem: Mathematical Analysis and Asymptotics. 188, 2013, Mathematical Surveys and Monographs. ⟨hal-01101991⟩

Book sections1 document

  • Eric Dumas, David Lannes, Jeremie Szeftel. Variants of the focusing NLS equation. Derivation, justification and open problems related to filamentation. CRM Series in Mathematical Physics, Springer International Publishing, pp.19-75, 2016, Laser Filamentation. ⟨hal-00997611v2⟩

Directions of work or proceedings2 documents

  • David Lannes. Several models for wave-structure interactions. Workshop on Nonlinear Water Waves, 2109, pp.144-155, 2018, RIMS Kôkyûroku. ⟨hal-02505302⟩
  • Jerry Bona, Mathieu Colin, Thierry Colin, David Lannes. Preface: special issue on asymptotic description of natural phenomena. poitiers, France. 2009. ⟨hal-01254666⟩

Preprints, Working Papers, ...10 documents

  • D. Bresch, David Lannes, Guy Metivier. WAVES INTERACTING WITH A PARTIALLY IMMERSED OBSTACLE IN THE BOUSSINESQ REGIME. 2019. ⟨hal-02015531⟩
  • Benoit Desjardins, David Lannes, Jean-Claude Saut. Normal mode decomposition and dispersive and nonlinear mixing in stratified fluids. 2019. ⟨hal-02400903⟩
  • Claude Bardos, David Lannes. Mathematics for 2d Interfaces. 2010. ⟨hal-00487357⟩
  • Borys Alvarez-Samaniego, David Lannes. Large time existence for $3D$ water-waves and asymptotics. 2007. ⟨hal-00128402v2⟩
  • Borys Alvarez-Samaniego, David Lannes. A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations. 2007. ⟨hal-00126256⟩
  • David Lannes, Philippe Bonneton. Derivation of asymptotic two-dimensional time-dependent equations for ocean wave propagation. 2007. ⟨hal-00177251⟩
  • Adrian Constantin, David Lannes. The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. 2007. ⟨hal-00170213⟩
  • Mathieu Colin, David Lannes. Short Pulses Approximations in Dispersive Media. 2007. ⟨hal-00201084⟩
  • Jerry Bona, David Lannes, Jean-Claude Saut. Asymptotic Models for Internal Waves. 2007. ⟨hal-00201083⟩
  • Remi Carles, David Lannes. Focusing at a point with caustic crossing for a class of nonlinear equations. 2003. ⟨hal-00128346⟩

Reports1 document

  • Lisl Weynans, David Lannes. Generating boundary conditions for a Boussinesq system. [Research Report] RR 9248, INRIA Bordeaux. 2019. ⟨hal-01982925v2⟩