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math.AP2007
Short Pulses Approximations in Dispersive Media
Mathieu Colin, David Lannes
We derive various approximations for the solutions of nonlinear hyperbolic systems with fastly oscillating initial data. We first provide error estimates for the so-called slowly v…
math.AP2007★ 1 cited
Asymptotic Models for Internal Waves
Jerry L. Bona, David Lannes, Jean-Claude Saut
We derived here in a systematic way, and for a large class of scaling regimes, asymptotic models for the propagation of internal waves at the interface between two layers of immisc…
physics.ao-ph2007
Derivation of asymptotic two-dimensional time-dependent equations for ocean wave propagation
David Lannes, Philippe Bonneton
A general method for the derivation of asymptotic nonlinear shallow water and deep water models is presented. Starting from a general dimensionless version of the water-wave equati…