Research projects

Project CEMAPRE internal

TitleDispersive PDEs
ParticipantsFilipe Oliveira (Principal Investigator)
SummaryThis 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.