Home /  Water waves and other interface problems (Part 2): Nonlinear modulational instabililty of the Stokes waves in 2d full water waves

Seminar

Water waves and other interface problems (Part 2): Nonlinear modulational instabililty of the Stokes waves in 2d full water waves March 09, 2021 (09:30 AM PST - 10:30 AM PST)
Parent Program:
Location: SLMath: Online/Virtual
Speaker(s) Qingtang Su (Morningside Center of Mathematics)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Nonlinear Modulational Instabililty of the Stokes Waves in 2d Full Water Waves

Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Abstract: 

In this talk, we illustrate that 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 Gong Chen.

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Nonlinear Modulational Instabililty of the Stokes Waves in 2d Full Water Waves