The hydrodynamical relevance of the Camassa–Holm and Degasperis–Procesi equations A Constantin, D Lannes Archive for Rational Mechanics and Analysis 192, 165-186, 2009 | 998 | 2009 |

The water waves problem: mathematical analysis and asymptotics D Lannes American Mathematical Soc., 2013 | 725* | 2013 |

Well-posedness of the water-waves equations D Lannes Journal of the American Mathematical Society 18 (3), 605-654, 2005 | 521 | 2005 |

Large time existence for 3D water-waves and asymptotics B Alvarez-Samaniego, D Lannes Inventiones Mathematicae 171, 2008 | 397 | 2008 |

Long wave approximations for water waves JL Bona, T Colin, D Lannes Archive for rational mechanics and analysis 178, 373-410, 2005 | 340 | 2005 |

Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation D Lannes, P Bonneton Physics of fluids 21 (1), 2009 | 216 | 2009 |

A splitting approach for the fully nonlinear and weakly dispersive Green–Naghdi model P Bonneton, F Chazel, D Lannes, F Marche, M Tissier Journal of Computational Physics 230 (4), 1479-1498, 2011 | 199 | 2011 |

Asymptotic models for internal waves JL Bona, D Lannes, JC Saut J. Math. Pures Appl 89 (6), 538-566, 2008 | 182 | 2008 |

A new approach to handle wave breaking in fully non-linear Boussinesq models M Tissier, P Bonneton, F Marche, F Chazel, D Lannes Coastal Engineering 67, 54-66, 2012 | 160 | 2012 |

The Cauchy problem for the Euler–Poisson system and derivation of the Zakharov–Kuznetsov equation D Lannes, F Linares, JC Saut Studies in phase space analysis with applications to PDEs, 181-213, 2013 | 143 | 2013 |

Numerical simulation of strongly nonlinear and dispersive waves using a Green–Naghdi model F Chazel, D Lannes, F Marche Journal of Scientific Computing 48, 105-116, 2011 | 140 | 2011 |

A new class of fully nonlinear and weakly dispersive Green–Naghdi models for efficient 2D simulations D Lannes, F Marche Journal of Computational Physics 282, 238-268, 2015 | 137 | 2015 |

Recent advances in Serre–Green Naghdi modelling for wave transformation, breaking and runup processes P Bonneton, E Barthélemy, F Chazel, R Cienfuegos, D Lannes, F Marche, ... European Journal of Mechanics-B/Fluids 30 (6), 589-597, 2011 | 137 | 2011 |

A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations B Alvarez-Samaniego, D Lannes Indiana University mathematics journal 57 (1), 97-131, 2008 | 115 | 2008 |

A stability criterion for two-fluid interfaces and applications D Lannes Archive for Rational Mechanics and Analysis 208, 481-567, 2013 | 108 | 2013 |

Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators D Lannes Journal of Functional Analysis 232 (2), 495-539, 2006 | 94 | 2006 |

Dispersive effects for nonlinear geometrical optics with rectification D Lannes Asymptotic Analysis 18 (1-2), 111-146, 1998 | 85 | 1998 |

On the dynamics of floating structures D Lannes Annals of PDE 3 (1), 11, 2017 | 82 | 2017 |

Fully nonlinear long-waves models in presence of vorticity A Castro, D Lannes Journal of Fluid Mechanics 759, 642-675, 2014 | 77 | 2014 |

Well-posedness and shallow-water stability for a new Hamiltonian formulation of the water waves equations with vorticity A Castro, D Lannes Indiana Univ. Math. J. 64, 1169-1270., 2015 | 72 | 2015 |