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

par Billel Guelmame (ENS Lyon)

mardi 13 févr. 2024, 11:15 → 12:15 Europe/Paris

Amphi Schwartz (IMT)

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.