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A Hamiltonian structure of the {I}sobe-{K}akinuma model for water waves

 Vincent Duchêne , Tatsuo Iguchi
Water Waves, 2021, 3 (1), pp.193-211. ⟨10.1007/s42286-020-00025-x⟩
Article dans une revue hal-02299441v1
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Scattering and localization properties of highly oscillatory potentials

 Vincent Duchene , Iva Vukicevic , Michael I. Weinstein
Communications on Pure and Applied Mathematics, 2013, 67 (1), pp.83-128. ⟨10.1002/cpa.21459⟩
Article dans une revue hal-00655977v2

Scattering, homogenization and interface effects for oscillatory potentials with strong singularities

 Vincent Duchêne , Michael I. Weinstein
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2011, 9 (3), pp.1017-1063. ⟨10.1137/100811672⟩
Article dans une revue hal-00526230v1
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Homogenized description of defect modes in periodic structures with localized defects

 Vincent Duchêne , Iva Vukicevic , Michael I. Weinstein
Communications in Mathematical Sciences, 2015, 13 (3), pp.777-823. ⟨10.4310/CMS.2015.v13.n3.a9⟩
Article dans une revue hal-00773709v1
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Asymptotic shallow water models for internal waves in a two-fluid system with a free surface

 Vincent Duchene
SIAM Journal on Mathematical Analysis, 2010, 42 (5), pp.2229-2260. ⟨10.1137/090761100⟩
Article dans une revue hal-00391399v2
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Decoupled and unidirectional asymptotic models for the propagation of internal waves

 Vincent Duchene
Mathematical Models and Methods in Applied Sciences, 2013, 24 (01), pp.s00332-014-9200-2. ⟨10.1142/S0218202513500462⟩
Article dans une revue hal-00726128v2
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Many Models for Water Waves

 Vincent Duchêne
Analysis of PDEs [math.AP]. Université de Rennes 1, 2021
HDR tel-03282212v1
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Well-posedness of the Green-Naghdi and Boussinesq-Peregrine systems

 Vincent Duchêne , Samer Israwi
Annales Mathématiques Blaise Pascal, 2018, 25 (1), pp.21-74. ⟨10.5802/ambp.372⟩
Article dans une revue hal-01396137v2
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A new class of two-layer Green-Naghdi systems with improved frequency dispersion

 Vincent Duchêne , Samer Israwi , Raafat Talhouk
Studies in Applied Mathematics, 2016, 137 (3), pp.356-415. ⟨10.1111/sapm.12125⟩
Article dans une revue hal-01127972v2
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A mathematical analysis of the Kakinuma model for interfacial gravity waves. Part I: Structures and well-posedness

 Vincent Duchêne , Tatsuo Iguchi
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, In press, ⟨10.4171/AIHPC/82⟩
Article dans une revue hal-03177333v2
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On the rigid-lid approximation for two shallow layers of immiscible fluids with small density contrast

 Vincent Duchêne
Journal of Nonlinear Science, 2014, 24 (4), pp.579-632. ⟨10.1007/s00332-014-9200-2⟩
Article dans une revue hal-00861093v3
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Numerical study of the Serre-Green-Naghdi equations and a fully dispersive counterpart

 Vincent Duchêne , Christian Klein
Discrete and Continuous Dynamical Systems - Series B, 2022, 27 (10), pp.5905-5933. ⟨10.3934/dcdsb.2021300⟩
Article dans une revue hal-02617465v2
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A mathematical analysis of the Kakinuma model for interfacial gravity waves. Part II: Justification as a shallow water approximation

 Vincent Duchêne , Tatsuo Iguchi
2024
Pré-publication, Document de travail hal-03897788v2
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Stability and instability in scalar balance laws: fronts and periodic waves

 Vincent Duchêne , L. Miguel Rodrigues
Analysis & PDE, 2022, 15 (7), pp.1807-1859. ⟨10.2140/apde.2022.15.1807⟩
Article dans une revue hal-02880628v2

Wave operator bounds for 1-dimensional Schrödinger operators with singular potentials and applications

 Vincent Duchene , Jeremy L. Marzuola , Michael I. Weinstein
Journal of Mathematical Physics, 2011, 52 (1), pp.013505. ⟨10.1063/1.3525977⟩
Article dans une revue hal-00564759v1
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Rigorous justification of the Favrie-Gavrilyuk approximation to the Serre-Green-Naghdi model

 Vincent Duchêne
Nonlinearity, 2019, 32 (10), pp.3772-3797. ⟨10.1088/1361-6544/ab22fb⟩
Article dans une revue hal-01841384v2
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Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials

 Vincent Duchêne , Nicolas Raymond
Documenta Mathematica, 2018, 23, pp.599-636. ⟨10.25537/dm.2018v23.599-636⟩
Article dans une revue hal-01361768v2
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Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon

 Vincent Duchene
Nonlinearity, 2011, 24 (8), pp.2281-2323. ⟨10.1088/0951-7715/24/8/008⟩
Article dans une revue hal-00549360v2
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Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation

 Vincent Duchene
ESAIM: Mathematical Modelling and Numerical Analysis, 2012, 46 (1), pp.145-185. ⟨10.1051/m2an/2011037⟩
Article dans une revue hal-00503883v2
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On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity

 Roberta Bianchini , Vincent Duchêne
2022
Pré-publication, Document de travail hal-03666916v2

Spectral asymptotics of a broken delta interaction

 Vincent Duchene , Nicolas Raymond
Journal of Physics A: Mathematical and Theoretical, 2014, 47 (15), 19 p. ⟨10.1088/1751-8113/47/15/155203⟩
Article dans une revue hal-00922043v1
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A note on the well-posedness of the one-dimensional multilayer shallow water model

 Vincent Duchêne
2013
Pré-publication, Document de travail hal-00922045v1
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Solitary wave solutions to a class of modified Green-Naghdi systems

 Vincent Duchêne , Dag Nilsson , Erik Wahlén
Journal of Mathematical Fluid Mechanics, 2018, 20 (3), pp.1059-1091. ⟨10.1007/s00021-017-0355-0⟩
Article dans une revue hal-01548404v1

Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modes

 Vincent Duchêne , Iva Vukicevic , Michael I. Weinstein
SIAM Journal on Mathematical Analysis, 2015, 47 (5), pp.3832-3883. ⟨10.1137/140980302⟩
Article dans une revue hal-01059211v1
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A new fully justified asymptotic model for the propagation of internal waves in the Camassa-Holm regime

 Vincent Duchene , Samer Israwi , Raafat Talhouk
SIAM Journal on Mathematical Analysis, 2015, 47 (1), pp.240-290. ⟨10.1137/130947064⟩
Article dans une revue hal-00814008v3
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Stability and instability of traveling wave solutions to scalar balance laws

 Vincent Duchêne
Mathematical Analysis in Fluid and Gas Dynamics, Jul 2019, Kyoto, Japan
Communication dans un congrès hal-02971018v1
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The multilayer shallow water system in the limit of small density contrast

 Vincent Duchêne
Asymptotic Analysis, 2016, 98 (3), pp.189-235. ⟨10.3233/ASY-161366⟩
Article dans une revue hal-01174270v2
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Ondes internes en océanographie et cristaux photoniques : une approche mathématique

 Vincent Duchêne
Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2011. Français. ⟨NNT : ⟩
Thèse tel-00597514v1
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Rectification of a deep water model for surface gravity waves

 Vincent Duchêne , Benjamin Melinand
Pure and Applied Analysis, 2024, 6 (1), pp.73-128. ⟨10.2140/paa.2024.6.73⟩
Article dans une revue hal-03598747v2
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Shallow water asymptotic models for the propagation of internal waves

 Vincent Duchêne , Samer Israwi , Raafat Talhouk
Discrete and Continuous Dynamical Systems - Series S, 2014, 7 (2), pp.239-269. ⟨10.3934/dcdss.2014.7.239⟩
Article dans une revue hal-00830399v2
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