Research projects

Project CEMAPRE internal

TitleDispersive PDEs
ParticipantsFilipe Oliveira (Principal Investigator)
SummaryIn this project we address the qualitative study of several nonlinear dispersive models, such as the
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.