Edit Profile (opens in new tab) Duchêne, Vincent Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1254.76045Duchêne, Vincent 17 2010 A new class of two-layer Green-Naghdi systems with improved frequency dispersion. Zbl 1356.35175Duchêne, V.; Israwi, S.; Talhouk, R. 16 2016 Scattering and localization properties of highly oscillatory potentials. Zbl 1292.34083Duchêne, V.; Vukićević, I.; Weinstein, M. I. 9 2014 Well-posedness of the Green-Naghdi and Boussinesq-Peregrine systems. Zbl 1405.35159Duchêne, Vincent; Israwi, Samer 8 2018 Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation. Zbl 1310.76050Duchêne, Vincent 8 2012 Spectral asymptotics of a broken \(\delta\)-interaction. Zbl 1288.81044Duchêne, V.; Raymond, N. 8 2014 A new fully justified asymptotic model for the propagation of internal waves in the Camassa-Holm regime. Zbl 1317.76027Duchêne, Vincent; Israwi, Samer; Talhouk, Raafat 8 2015 Scattering, homogenization, and interface effects for oscillatory potentials with strong singularities. Zbl 1258.34172Duchêne, Vincent; Weinstein, Michael I. 8 2011 Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications. Zbl 1314.81085Duchêne, Vincent; Marzuola, Jeremy L.; Weinstein, Michael I. 7 2011 Shallow water asymptotic models for the propagation of internal waves. Zbl 1273.76071Duchêne, Vincent; Israwi, Samer; Talhouk, Raafat 6 2014 On the rigid-lid approximation for two shallow layers of immiscible fluids with small density contrast. Zbl 1296.76025Duchêne, Vincent 6 2014 Decoupled and unidirectional asymptotic models for the propagation of internal waves. Zbl 1282.76081Duchêne, Vincent 6 2014 Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon. Zbl 1222.76024Duchêne, Vincent 6 2011 Solitary wave solutions to a class of modified Green-Naghdi systems. Zbl 1442.35333Duchêne, Vincent; Nilsson, Dag; Wahlén, Erik 5 2018 Homogenized description of defect modes in periodic structures with localized defects. Zbl 1325.34099Duchêne, Vincent; Vukićević, Iva; Weinstein, Michael I. 5 2015 Rigorous justification of the Favrie-Gavrilyuk approximation to the Serre-Green-Naghdi model. Zbl 1421.35208Duchêne, Vincent 4 2019 Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials. Zbl 1403.34063Duchêne, Vincent; Raymond, Nicolas 3 2018 Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modes. Zbl 1334.34184Duchêne, V.; Vukićević, I.; Weinstein, M. I. 2 2015 Large-time asymptotic stability of Riemann shocks of scalar balance laws. Zbl 1435.35050Duchêne, V.; Rodrigues, L. M. 2 2020 The multilayer shallow water system in the limit of small density contrast. Zbl 1351.35132Duchêne, Vincent 2 2016 Large-time asymptotic stability of Riemann shocks of scalar balance laws. Zbl 1435.35050Duchêne, V.; Rodrigues, L. M. 2 2020 Rigorous justification of the Favrie-Gavrilyuk approximation to the Serre-Green-Naghdi model. Zbl 1421.35208Duchêne, Vincent 4 2019 Well-posedness of the Green-Naghdi and Boussinesq-Peregrine systems. Zbl 1405.35159Duchêne, Vincent; Israwi, Samer 8 2018 Solitary wave solutions to a class of modified Green-Naghdi systems. Zbl 1442.35333Duchêne, Vincent; Nilsson, Dag; Wahlén, Erik 5 2018 Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials. Zbl 1403.34063Duchêne, Vincent; Raymond, Nicolas 3 2018 A new class of two-layer Green-Naghdi systems with improved frequency dispersion. Zbl 1356.35175Duchêne, V.; Israwi, S.; Talhouk, R. 16 2016 The multilayer shallow water system in the limit of small density contrast. Zbl 1351.35132Duchêne, Vincent 2 2016 A new fully justified asymptotic model for the propagation of internal waves in the Camassa-Holm regime. Zbl 1317.76027Duchêne, Vincent; Israwi, Samer; Talhouk, Raafat 8 2015 Homogenized description of defect modes in periodic structures with localized defects. Zbl 1325.34099Duchêne, Vincent; Vukićević, Iva; Weinstein, Michael I. 5 2015 Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modes. Zbl 1334.34184Duchêne, V.; Vukićević, I.; Weinstein, M. I. 2 2015 Scattering and localization properties of highly oscillatory potentials. Zbl 1292.34083Duchêne, V.; Vukićević, I.; Weinstein, M. I. 9 2014 Spectral asymptotics of a broken \(\delta\)-interaction. Zbl 1288.81044Duchêne, V.; Raymond, N. 8 2014 Shallow water asymptotic models for the propagation of internal waves. Zbl 1273.76071Duchêne, Vincent; Israwi, Samer; Talhouk, Raafat 6 2014 On the rigid-lid approximation for two shallow layers of immiscible fluids with small density contrast. Zbl 1296.76025Duchêne, Vincent 6 2014 Decoupled and unidirectional asymptotic models for the propagation of internal waves. Zbl 1282.76081Duchêne, Vincent 6 2014 Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation. Zbl 1310.76050Duchêne, Vincent 8 2012 Scattering, homogenization, and interface effects for oscillatory potentials with strong singularities. Zbl 1258.34172Duchêne, Vincent; Weinstein, Michael I. 8 2011 Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications. Zbl 1314.81085Duchêne, Vincent; Marzuola, Jeremy L.; Weinstein, Michael I. 7 2011 Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon. Zbl 1222.76024Duchêne, Vincent 6 2011 Asymptotic shallow water models for internal waves in a two-fluid system with a free surface. Zbl 1254.76045Duchêne, Vincent 17 2010 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year