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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.
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
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.