Gong Chen: Nonlinear modulational instability of the Stokes waves in 2D full water waves

Submitted by Jorge Cisneros on

Speaker: Gong Chen, University of Toronto

Date: December 2, 2021

Title: Nonlinear modulational instability of the Stokes waves in 2D full water waves

Abstract: The well-known Stokes waves refer to periodic traveling waves under the gravity at the free surface of a two dimensional full water wave system. In this talk, I will illustrate that the 2D small-amplitude Stokes waves with infinite depth are nonlinearly unstable under long-wave perturbations. Our approach is based on the modulational approximation of the water wave system and the instability mechanism of the focusing cubic nonlinear Schrödinger equation. This is joint work with Qingtang Su (USC).