CEREMADE
Melinand Benjamin
Associate Professor
Biography
Benjamin Melinand is a lecturer in mathematics at the University Paris Dauphine. After years of studies at the ENS Rennes, he obtained his PhD at the University of Bordeaux. He then did a post-doctorate at Indiana University. Benjamin Melinand works on problems related to wave propagation and more generally to fluid mechanics.
Publications
Articles
Melinand B. (2024), Dispersive estimates for nonhomogeneous radial phases: an application to weakly dispersive equations and water wave models, Journal of Functional Analysis, vol. 286, n°1, p. 110204 
Melinand B., Zumbrun K. (2019), Existence and stability of steady compressible Navier–Stokes solutions on a finite interval with noncharacteristic boundary conditions, Physica D : Nonlinear Phenomena, vol. 394, n°1, p. 16-25
Melinand B. (2018), The KP Approximation Under a Weak Coriolis Forcing, Journal of Mathematical Fluid Mechanics, vol. 20, n°3, p. 1229-1247
Melinand B. (2018), Long wave approximation for water waves under a Coriolis forcing and the Ostrovsky equation, Proceedings of the Royal Society of Edinburgh. Section A, Mathematical and Physical Sciences, vol. 148, n°6, p. 1201-1237
Bouharguane A., Melinand B. (2018), A splitting method for deep water with bathymetry, IMA Journal of Numerical Analysis, vol. 38, n°3, p. 1324-1350
Melinand B. (2017), Coriolis effect on water waves, ESAIM: Mathematical Modelling and Numerical Analysis, vol. 51, n°5, p. 1957-1985
Melinand B. (2015), A mathematical study of meteo and landslide tsunamis: the Proudman resonance, Nonlinearity, vol. 28, n°11, p. 4037-4080
Prépublications / Cahiers de recherche
Melinand B., Miguel Rodrigues L. (2024), Phase sinks and sources around two-dimensional periodic-wave solutions of reaction-diffusion-advection systems, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 69 p.
Melinand B. (2023), Rigid Lid limit in shallow water over a flat bottom, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 25 p.
Duchêne V., Melinand B. (2022), Rectification of a deep water model for surface gravity waves, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 52 p.
Barker B., Melinand B., Zumbrun K. (2020), Existence and stability of steady non characteristic solutions on a finite interval of full compressible Navier-Stokes equations, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 25 p.