07/09/2016, 09:40 — 10:20 — Amphitheatre Pa2, Mathematics Building
João Paulo Dias, Universidade de Lisboa

On a quasilinear non-local Benney system

We consider the quasilinear non-local Benney system

We study the existence and uniqueness of the local strong solutions to the initial boundary value problem, their possible blowup, the existence of global weak solutions and we exhibit bound-state solutions in some special cases.This talk is based on a submitted paper by J. P. Dias and F. Oliveira with the same title.