Numerics of the ”bad” Boussinesq equation for water waves

by Daniel Eriksson (KTH)

Thursday Sep 25, 2025, 3:00 PM → 4:00 PM Europe/Brussels

B/2nd floor-B.203 - Seminar room (Marc de Hemptinne (chemin du Cyclotron, 2, Louvain-la-Neuve))

The ”bad” Boussinesq equation is an ill-posed wave equation with one linear and one non-linear dispersion term. We discuss a numerical scheme and use it to validate earlier results by two of the authors and to illustrate key features of solutions: solitons, interaction of right and left waves and resolution of initial data into solitons. This is joint work with Christie Charlier and Jonatan Lenells.