4 citations · 5 across the 5 of their papers we have counts for
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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…
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…
Sharp estimates for pseudodifferential operators with symbols of limited smoothness and commutators
David Lannes
We consider here pseudo-differential operators whose symbol is not infinitely smooth with respect to . Decomposing such symbols into four -sometimes five- components an…
Focusing at a point with caustic crossing for a class of nonlinear equations
Remi Carles, David Lannes
We consider the asymptotic behavior of solutions to nonlinear partial differential equations in the limit of short wavelength. For initial data which cause focusing at one point, w…