Asymptotic shallow water models for internal waves in a two-fluid system with a free surface V Duchêne SIAM Journal on Mathematical Analysis 42 (5), 2229-2260, 2010 | 53 | 2010 |

A New Class of Two‐Layer Green–Naghdi Systems with Improved Frequency Dispersion V Duchêne, S Israwi, R Talhouk Studies in Applied Mathematics 137 (3), 356-415, 2016 | 36 | 2016 |

Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications V Duchêne, JL Marzuola, MI Weinstein Journal of Mathematical Physics 52 (1), 013505, 2011 | 31 | 2011 |

Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation V Duchêne ESAIM: Mathematical Modelling and Numerical Analysis 46 (01), 145-185, 2012 | 30 | 2012 |

Spectral asymptotics of a broken δ-interaction V Duchene, N Raymond Journal of Physics A: Mathematical and Theoretical 47 (15), 155203, 2014 | 25 | 2014 |

Scattering and localization properties of highly oscillatory potentials V Duchêne, I Vukićević, MI Weinstein Communications on Pure and Applied Mathematics 67 (1), 83-128, 2014 | 25 | 2014 |

Homogenized description of defect modes in periodic structures with localized defects V Duchêne, I Vukićević, MI Weinstein arXiv preprint arXiv:1301.0837, 2013 | 21 | 2013 |

Scattering, Homogenization, and Interface Effects for Oscillatory Potentials with Strong Singularities V Duchêne, MI Weinstein Multiscale Modeling & Simulation 9 (3), 1017-1063, 2011 | 21 | 2011 |

Decoupled and unidirectional asymptotic models for the propagation of internal waves V Duchêne Mathematical Models and Methods in Applied Sciences 24 (01), 1-65, 2014 | 20 | 2014 |

A new fully justified asymptotic model for the propagation of internal waves in the Camassa-Holm regime V Duchêne, S Israwi, R Talhouk | 20 | 2013 |

Well-posedness of the Green–Naghdi and Boussinesq–Peregrine systems V Duchêne, S Israwi Annales mathématiques Blaise Pascal 25 (1), 21-74, 2018 | 18 | 2018 |

On the rigid-lid approximation for two shallow layers of immiscible fluids with small density contrast V Duchêne Journal of Nonlinear Science 24 (4), 579-632, 2014 | 17 | 2014 |

SHALLOW WATER ASYMPTOTIC MODELS FOR THE PROPAGATION OF INTERNAL WAVES. V Duchêne, S Israwi, R Talhouk Discrete & Continuous Dynamical Systems-Series S 7 (2), 2014 | 16 | 2014 |

Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon V Duchêne Nonlinearity 24 (8), 2281, 2011 | 15 | 2011 |

Large-time asymptotic stability of Riemann shocks of scalar balance laws V Duchêne, LM Rodrigues SIAM Journal on Mathematical Analysis 52 (1), 792-820, 2020 | 13 | 2020 |

Solitary wave solutions to a class of modified Green–Naghdi systems V Duchêne, D Nilsson, E Wahlén Journal of Mathematical Fluid Mechanics 20, 1059-1091, 2018 | 13 | 2018 |

A Hamiltonian structure of the Isobe–Kakinuma model for water waves V Duchêne, T Iguchi Water Waves 3 (1), 193-211, 2021 | 11 | 2021 |

Rigorous justification of the Favrie–Gavrilyuk approximation to the Serre–Green–Naghdi model V Duchêne Nonlinearity 32 (10), 3772, 2019 | 11 | 2019 |

Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modes V Duchêne, I Vukicevic, MI Weinstein SIAM Journal on Mathematical Analysis 47 (5), 3832-3883, 2015 | 11 | 2015 |

Stability and instability in scalar balance laws: fronts and periodic waves V Duchêne, LM Rodrigues Analysis & PDE 15 (7), 1807-1859, 2022 | 9 | 2022 |