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

Qingtang Su
Institution: 
University of Southern California (Los Angeles)
Schedule: 
Tuesday, October 26, 2021 - 17:00 to 18:00
Location: 
TBC(to be checked)
Abstract: 

In this talk, we show that the 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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