Travelling wave solutions to abcd systems

Speaker: Olivier Goubet

Université de Lille – CNRS, France

Date: Monday, September 11th, 2023 at 12 Santiago time

Abstract:  We are interested in
the so-called \( abcd\) system introduced by J. Bona, M. Chen and JC. Saut.
This system reads $$h_{t}+v_x-bh_{txx}+av_{xxx}+(hv)_x=0,$$
$$v_{t}+h_x-dv_{txx}+ch_{xxx}+vv_x=0.$$ Here  we revisit the existence and stability results for travelling waves solutions of these systems.

Venue:  Sala de Seminarios, 5th floor, Beauchef 851 / Online via Zoom
Chair: Rayssa Caju