The hydrodynamical relevance of the Camassa–Holm and Degasperis–Procesi equations A Constantin, D Lannes Archive for Rational Mechanics and Analysis 192 (1), 165-186, 2009 | 817 | 2009 |

The water waves problem: mathematical analysis and asymptotics D Lannes American Mathematical Soc., 2013 | 472* | 2013 |

Well-posedness of the water-waves equations D Lannes Journal of the American Mathematical Society 18 (3), 605-654, 2005 | 443 | 2005 |

Large time existence for 3 D water-waves and asymptotics B Alvarez-Samaniego, D Lannes Inventiones mathematicae 171 (3), 485-541, 2008 | 350 | 2008 |

Long wave approximations for water waves JL Bona, T Colin, D Lannes Archive for rational mechanics and analysis 178 (3), 373-410, 2005 | 288 | 2005 |

Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation D Lannes, P Bonneton Physics of fluids 21 (1), 016601, 2009 | 173 | 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 | 170 | 2011 |

Asymptotic models for internal waves JL Bona, D Lannes, JC Saut J. Math. Pures Appl 89 (6), 538-566, 2008 | 128 | 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 | 127 | 2012 |

Numerical simulation of strongly nonlinear and dispersive waves using a Green–Naghdi model F Chazel, D Lannes, F Marche Journal of Scientific Computing 48 (1), 105-116, 2011 | 121 | 2011 |

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 | 117 | 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 | 107 | 2015 |

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 | 101 | 2013 |

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 | 99 | 2008 |

A stability criterion for two-fluid interfaces and applications D Lannes Archive for Rational Mechanics and Analysis 208 (2), 481-567, 2013 | 85 | 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 | 83 | 2006 |

Dispersive effects for nonlinear geometrical optics with rectification D Lannes Asymptotic Analysis 18 (1, 2), 111-146, 1998 | 82 | 1998 |

Fully nonlinear long-waves models in presence of vorticity A Castro, D Lannes Journal of Fluid Mechanics 759, 642-675, 2014 | 60 | 2014 |

Weakly transverse Boussinesq systems and the Kadomtsev–Petviashvili approximation D Lannes, JC Saut Nonlinearity 19 (12), 2853, 2006 | 58 | 2006 |

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 | 50 | 2015 |