## Duchêne, Vincent

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 Author ID: duchene.vincent Published as: Duchêne, Vincent; Duchêne, V. Homepage: https://perso.univ-rennes1.fr/vincent.duchene/ External Links: MGP · ORCID · Google Scholar · dblp · IdRef · theses.fr
 Documents Indexed: 21 Publications since 2010 Reviewing Activity: 2 Reviews Co-Authors: 10 Co-Authors with 14 Joint Publications 246 Co-Co-Authors
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### Co-Authors

 7 single-authored 5 Weinstein, Michael I. 4 Israwi, Samer 3 Talhouk, Raafat 3 Vukićević, Iva 2 Raymond, Nicolas 1 Iguchi, Tatsuo 1 Marzuola, Jeremy L. 1 Nilsson, Dag Viktor 1 Rodrigues, Luis Miguel 1 Wahlén, Erik
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### Serials

 4 SIAM Journal on Mathematical Analysis 2 Nonlinearity 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Studies in Applied Mathematics 1 Asymptotic Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Nonlinear Science 1 Annales Mathématiques Blaise Pascal 1 Documenta Mathematica 1 Journal of Mathematical Fluid Mechanics 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Discrete and Continuous Dynamical Systems. Series S 1 Water Waves
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### Fields

 17 Partial differential equations (35-XX) 13 Fluid mechanics (76-XX) 6 Ordinary differential equations (34-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

20 Publications have been cited 136 times in 95 Documents Cited by Year
Asymptotic shallow water models for internal waves in a two-fluid system with a free surface. Zbl 1254.76045
Duchêne, Vincent
2010
A new class of two-layer Green-Naghdi systems with improved frequency dispersion. Zbl 1356.35175
Duchêne, V.; Israwi, S.; Talhouk, R.
2016
Scattering and localization properties of highly oscillatory potentials. Zbl 1292.34083
Duchêne, V.; Vukićević, I.; Weinstein, M. I.
2014
Well-posedness of the Green-Naghdi and Boussinesq-Peregrine systems. Zbl 1405.35159
Duchêne, Vincent; Israwi, Samer
2018
Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation. Zbl 1310.76050
Duchêne, Vincent
2012
Spectral asymptotics of a broken $$\delta$$-interaction. Zbl 1288.81044
Duchêne, V.; Raymond, N.
2014
A new fully justified asymptotic model for the propagation of internal waves in the Camassa-Holm regime. Zbl 1317.76027
Duchêne, Vincent; Israwi, Samer; Talhouk, Raafat
2015
Scattering, homogenization, and interface effects for oscillatory potentials with strong singularities. Zbl 1258.34172
Duchêne, Vincent; Weinstein, Michael I.
2011
Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications. Zbl 1314.81085
Duchêne, Vincent; Marzuola, Jeremy L.; Weinstein, Michael I.
2011
Shallow water asymptotic models for the propagation of internal waves. Zbl 1273.76071
Duchêne, Vincent; Israwi, Samer; Talhouk, Raafat
2014
On the rigid-lid approximation for two shallow layers of immiscible fluids with small density contrast. Zbl 1296.76025
Duchêne, Vincent
2014
Decoupled and unidirectional asymptotic models for the propagation of internal waves. Zbl 1282.76081
Duchêne, Vincent
2014
Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon. Zbl 1222.76024
Duchêne, Vincent
2011
Solitary wave solutions to a class of modified Green-Naghdi systems. Zbl 1442.35333
Duchêne, Vincent; Nilsson, Dag; Wahlén, Erik
2018
Homogenized description of defect modes in periodic structures with localized defects. Zbl 1325.34099
Duchêne, Vincent; Vukićević, Iva; Weinstein, Michael I.
2015
Rigorous justification of the Favrie-Gavrilyuk approximation to the Serre-Green-Naghdi model. Zbl 1421.35208
Duchêne, Vincent
2019
Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials. Zbl 1403.34063
Duchêne, Vincent; Raymond, Nicolas
2018
Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modes. Zbl 1334.34184
Duchêne, V.; Vukićević, I.; Weinstein, M. I.
2015
Large-time asymptotic stability of Riemann shocks of scalar balance laws. Zbl 1435.35050
Duchêne, V.; Rodrigues, L. M.
2020
The multilayer shallow water system in the limit of small density contrast. Zbl 1351.35132
Duchêne, Vincent
2016
Large-time asymptotic stability of Riemann shocks of scalar balance laws. Zbl 1435.35050
Duchêne, V.; Rodrigues, L. M.
2020
Rigorous justification of the Favrie-Gavrilyuk approximation to the Serre-Green-Naghdi model. Zbl 1421.35208
Duchêne, Vincent
2019
Well-posedness of the Green-Naghdi and Boussinesq-Peregrine systems. Zbl 1405.35159
Duchêne, Vincent; Israwi, Samer
2018
Solitary wave solutions to a class of modified Green-Naghdi systems. Zbl 1442.35333
Duchêne, Vincent; Nilsson, Dag; Wahlén, Erik
2018
Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials. Zbl 1403.34063
Duchêne, Vincent; Raymond, Nicolas
2018
A new class of two-layer Green-Naghdi systems with improved frequency dispersion. Zbl 1356.35175
Duchêne, V.; Israwi, S.; Talhouk, R.
2016
The multilayer shallow water system in the limit of small density contrast. Zbl 1351.35132
Duchêne, Vincent
2016
A new fully justified asymptotic model for the propagation of internal waves in the Camassa-Holm regime. Zbl 1317.76027
Duchêne, Vincent; Israwi, Samer; Talhouk, Raafat
2015
Homogenized description of defect modes in periodic structures with localized defects. Zbl 1325.34099
Duchêne, Vincent; Vukićević, Iva; Weinstein, Michael I.
2015
Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modes. Zbl 1334.34184
Duchêne, V.; Vukićević, I.; Weinstein, M. I.
2015
Scattering and localization properties of highly oscillatory potentials. Zbl 1292.34083
Duchêne, V.; Vukićević, I.; Weinstein, M. I.
2014
Spectral asymptotics of a broken $$\delta$$-interaction. Zbl 1288.81044
Duchêne, V.; Raymond, N.
2014
Shallow water asymptotic models for the propagation of internal waves. Zbl 1273.76071
Duchêne, Vincent; Israwi, Samer; Talhouk, Raafat
2014
On the rigid-lid approximation for two shallow layers of immiscible fluids with small density contrast. Zbl 1296.76025
Duchêne, Vincent
2014
Decoupled and unidirectional asymptotic models for the propagation of internal waves. Zbl 1282.76081
Duchêne, Vincent
2014
Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation. Zbl 1310.76050
Duchêne, Vincent
2012
Scattering, homogenization, and interface effects for oscillatory potentials with strong singularities. Zbl 1258.34172
Duchêne, Vincent; Weinstein, Michael I.
2011
Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications. Zbl 1314.81085
Duchêne, Vincent; Marzuola, Jeremy L.; Weinstein, Michael I.
2011
Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon. Zbl 1222.76024
Duchêne, Vincent
2011
Asymptotic shallow water models for internal waves in a two-fluid system with a free surface. Zbl 1254.76045
Duchêne, Vincent
2010
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### Cited by 136 Authors

 10 Duchêne, Vincent 7 Israwi, Samer 7 Weinstein, Michael I. 5 Lteif, Ralph 4 Drouot, Alexis 4 Talhouk, Raafat 4 Vila, Jean-Paul 3 Camassa, Roberto 3 Dinvay, Evgueni 3 Falqui, Gregorio 3 Fefferman, Charles Louis 3 Gerbi, Stéphane 3 Lannes, David 3 Lu, Jianfeng 3 Mitsotakis, Dimitrios E. 3 Ortenzi, Giovanni 3 Parisot, Martin 3 Saut, Jean-Claude 3 Watson, Alexander B. 3 Yajima, Kenji 2 Bona, Jerry Lloyd 2 Bourdarias, Christian 2 Carvajal, Xavier Paredes 2 Duran, Angel 2 Duran, Arnaud 2 Erbay, Husnuata A. 2 Erbay, Saadet 2 Erkip, Albert Kohen 2 Exner, Pavel 2 Gavrilyuk, Sergey L. 2 Godlewski, Edwige 2 Kachmar, Ayman 2 Kalisch, Henrik 2 Katsaounis, Theodoros 2 Khorbatly, Bashar 2 Kondej, Sylwia 2 Kuznetsov, Nikolai Germanovich 2 Lee-Thorp, James P. 2 Lotoreichik, Vladimir 2 Michelangeli, Alessandro 2 Motygin, Oleg Valer’evich 2 Nilsson, Dag Viktor 2 Ourmiéres-Bonafos, Thomas 2 Pankrashkin, Konstantin 2 Panthee, Mahendra 2 Pedroni, Marco 2 Raymond, Nicolas 2 Vukićević, Iva 2 Xu, Li 1 Aguillon, Nina 1 Alvarez, Enrique E. 1 Ammari, Habib M. 1 Angulo Pava, Jaime 1 Audusse, Emmanuel 1 Baraille, Rémy 1 Bonnet-Ben Dhia, Anne-Sophie 1 Bresch, Didier 1 Bristeau, Marie-Odile 1 Busto, Saray 1 Cathala, Mathieu 1 Chakrabarti, Aloknath 1 Chen, Su-Su 1 Cheviakov, Alexei F. 1 Cornean, Horia D. 1 Couderc, Frédéric 1 Dalibard, Anne-Laure 1 Dell’Antonio, Gian Fausto 1 Desjardins, Benoît 1 Dougalis, Vassilios A. 1 Dumbser, Michael 1 Ehrnström, Mats 1 Emerald, Louis 1 Escalante, Cipriano 1 Favrie, Nicolas 1 Fitzpatrick, Brian 1 Flamencourt, Brice 1 Fukaya, Noriyoshi 1 Georgiev, Vladimir S. 1 Goloshchapova, Nataliia 1 Gosse, Laurent 1 Groves, Mark D. 1 Grue, John 1 Guillopé, Colette 1 Han-Kwan, Daniel 1 Helffer, Bernard 1 Hiltunen, Erik Orvehed 1 Ho, T. T. Vu 1 Ikeda, Masahiro 1 Imperiale, Sébastien 1 Isrwai, Samer 1 Kazerani, Dena 1 Keraval, Pierig 1 Krejčiřík, David 1 Le, Uyen 1 Li, Fengquan 1 Li, He 1 Liu, Yue 1 Luo, Ting 1 Mangeney, Anne 1 Martha, Subash Chandra ...and 36 more Authors
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### Cited in 53 Serials

 7 SIAM Journal on Mathematical Analysis 6 Nonlinearity 4 Journal of Mathematical Analysis and Applications 4 Journal of Nonlinear Science 3 Journal of Mathematical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Differential Equations 3 Physica D 3 SIAM Journal on Applied Mathematics 2 Applicable Analysis 2 Computers and Fluids 2 Communications in Mathematical Physics 2 Journal of Computational Physics 2 Memoirs of the American Mathematical Society 2 Studies in Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Annales Henri Poincaré 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Discrete and Continuous Dynamical Systems. Series S 2 Water Waves 1 Communications on Pure and Applied Mathematics 1 Reviews in Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 BIT 1 Canadian Journal of Mathematics 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Physics of Fluids 1 Annales Mathématiques Blaise Pascal 1 Mathematical Physics, Analysis and Geometry 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. B. Fluids 1 Communications in Contemporary Mathematics 1 The ANZIAM Journal 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Communications on Pure and Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Confluentes Mathematici 1 Bulletin of Mathematical Sciences 1 S$$\vec{\text{e}}$$MA Journal 1 Pure and Applied Analysis
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### Cited in 17 Fields

 73 Partial differential equations (35-XX) 50 Fluid mechanics (76-XX) 10 Numerical analysis (65-XX) 9 Operator theory (47-XX) 8 Quantum theory (81-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Ordinary differential equations (34-XX) 6 Geophysics (86-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Mechanics of deformable solids (74-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 $$K$$-theory (19-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX)