2 papers
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…
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…