Project CEMAPRE internal
|Participants||Filipe Oliveira (Principal Investigator)|
|Summary||This project is the continuation of the 2022 internal project "Dispersive PDEs".|
In this project we address the qualitative study of several nonlinear dispersive models, such as
Schrödinger-Debye system, the Benney equations and Cubic and Quadratic NLS systems. We will give
special emphasis to the study of the so-called abcd-Boussinesq system, which describes 2-wave
approximations of the incompressible and irrotational, two dimensional water wave equations in the
shallow water wave regime, in the spirit of the original Boussinesq derivation.