Séminaire MAC

Singularity formation and global weak solutions to the Serre–Green–Naghdi equations with surface tension

by Billel Guelmame (ENS Lyon)

Amphi Schwartz (IMT)

Amphi Schwartz



In this talk, we explore the Serre–Green–Naghdi equations, which describe shallow-water waves while considering the influence of surface tension. These equations are locally (in time) well-posed. We identify a class of smooth initial data, leading to the development of singularities in finite time for the corresponding strong solutions. Additionally, we demonstrate the existence of global weak solutions for small-energy initial data.

Organized by

Romain Duboscq, David Lafontaine