Curriculum vitae

Melinand Benjamin

Associate Professor
CEREMADE

melinandping@ceremade.dauphinepong.fr
Office : B514Bis

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.

Latest 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

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. (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

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. (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. (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.

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