4 citations · 6 across the 5 of their papers we have counts for
5 papers
Solitary wave solutions to the Isobe-Kakinuma model for water waves
Mathieu Colin, Tatsuo Iguchi
We consider the Isobe-Kakinuma model for two-dimensional water waves in the case of the flat bottom. The Isobe-Kakinuma model is a system of Euler-Lagrange equations for a Lagrangi…
BD Entropy and Bernis-Friedman Entropy
Didier Bresch, Mathieu Colin, Khawla Msheik +2
In this note, we propose in the full generality a link between the BD entropy introduced by D. Bresch andB. Desjardins for the viscous shallow-water equations and the Bernis-Friedm…
Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schrödinger equations
Mathieu Colin, Masahito Ohta
We consider a system of nonlinear Schrödinger equations related to the Raman amplification in a plasma. We study the orbital stability and instability of standing waves bifurcating…
Stability and instability results for standing waves of quasi-linear Schrödinger equations
Mathieu Colin, Louis Jeanjean, Marco Squassina
We study a class of quasi-linear Schrödinger equations arising in the theory of superfluid film in plasma physics. First, using gauge transforms and a derivation process we solve,…
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…