Séminaire MAC

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

by Billel Guelmame (ENS Lyon)

Europe/Paris
Amphi Schwartz (IMT)

Amphi Schwartz

IMT

Description

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