Publications

Mahieddine Adim, Roberta Bianchini, Vincent Duchêne (2024). On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity. ArXiv preprint.

Roberta Bianchini, Vincent Duchêne (2024). On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity. Comm. Partial Differential Equations.

Vincent Duchêne, Benjamin Melinand (2024). Rectification of a deep water model for surface gravity waves. Pure Appl. Anal..

Vincent Duchêne, Tatsuo Iguchi (2024). A mathematical analysis of the Kakinuma model for interfacial gravity waves. Part II. Proc. Roy. Soc. Edinburgh Sect. A.

Vincent Duchêne, Tatsuo Iguchi (2023). A mathematical analysis of the Kakinuma model for interfacial gravity waves. Part I.. Ann. Inst. H. Poincaré Anal. Non Linéaire.

Vincent Duchêne, L. Miguel Rodrigues (2022). Stability and instability in scalar balance laws: fronts and periodic waves. Anal. PDE.

Vincent Duchêne, Christian Klein (2021). Numerical study of the Serre-Green-Naghdi equations and a fully dispersive counterpart. Discrete Contin. Dyn. Syst. Ser. B.

Vincent Duchêne (2020). Stability and instability of traveling wave solutions to scalar balance laws. RIMS Kôkyûroku.

Vincent Duchêne, L. Miguel Rodrigues (2020). Large-time asymptotic stability of Riemann shocks of scalar balance laws. SIAM J. Math. Anal..

Vincent Duchêne, Tatsuo Iguchi (2020). A Hamiltonian structure of the Isobe–Kakinuma model for water waves. Water Waves.

Vincent Duchêne (2019). Rigorous justification of the Favrie–Gavrilyuk approximation to the Serre–Green–Naghdi model. Nonlinearity.

Vincent Duchêne, Samer Israwi (2018). Well-posedness of the Green–Naghdi and Boussinesq–Peregrine systems. Ann. Math. Blaise Pascal.

Vincent Duchêne, Dag Nilsson, Erik Wahlén (2017). Solitary Wave Solutions to a Class of Modified Green–Naghdi Systems. J. Math. Fluid Mech..

Vincent Duchêne, Nicolas Raymond (2017). Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials. Doc. Math..

Vincent Duchêne (2016). The multilayer shallow water system in the limit of small density contrast. Asymptot. Anal..

Vincent Duchêne, Samer Israwi, Raafat Talhouk (2016). A new class of two-layer Green-Naghdi systems with improved frequency dispersion. Stud. Appl. Math..

Vincent Duchêne, Iva Vukićević, Michael I. Weinstein (2015). Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modes. SIAM J. Math. Anal..

Vincent Duchêne, Iva Vukićević, Michael I. Weinstein (2015). Homogenized description of defect modes in periodic structures with localized defects. Commun. Math. Sci..

Vincent Duchêne, Samer Israwi, Raafat Talhouk (2015). A New Fully Justified Asymptotic Model for the Propagation of Internal Waves in the Camassa–Holm Regime. SIAM J. Math. Anal..

Vincent Duchêne, Samer Israwi, Raafat Talhouk (2014). Shallow water asymptotic models for the propagation of internal waves. Discrete Contin. Dyn. Syst. Ser. S.

Vincent Duchêne, Nicolas Raymond (2014). Spectral asymptotics of a broken $δ$-interaction. J. Phys. A.

Vincent Duchêne (2014). On the rigid-lid approximation for two shallow layers of immiscible fluids with small density contrast. J. Nonlinear Sci..

Vincent Duchêne (2013). A note on the well-posedness of the one-dimensional multilayer shallow water model. HaL preprint.

Vincent Duchêne (2013). Decoupled and unidirectional asymptotic models for the propagation of internal waves. Math. Models Methods Appl. Sci..

Vincent Duchêne, Iva Vukićević, Michael I. Weinstein (2013). Scattering and localization properties of highly oscillatory potentials. Comm. Pure Appl. Math..

Vincent Duchêne (2011). Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation. ESAIM Math. Model. Numer. Anal..

Vincent Duchêne, Michael I. Weinstein (2011). Scattering, homogenization, and interface effects for oscillatory potentials with strong singularities. Multiscale Model. Simul..

Vincent Duchêne (2011). Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon. Nonlinearity.

Vincent Duchêne, Jeremy L. Marzuola, Michael I. Weinstein (2011). Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications. J. Math. Phys..

Vincent Duchêne (2010). Asymptotic shallow water models for internal waves in a two-fluid system with a free surface. SIAM J. Math. Anal..