Proof of modulational instability of Stokes waves in deep water

event Monday, November 9, 2020
access_time 3:30 PM (CT)
room Zoom

Abstract: It is proven that small-amplitude steady periodic water waves with infinite depth are unstable with respect to long-wave perturbations. This modulational instability was first observed more than half a century ago by Benjamin and Feir. It has never been proven rigorously except in the case of finite depth. We provide a completely different and self-contained approach to prove the spectral modulational instability for water waves in both the finite and infinite depth cases. This is joint work with W. Strauss (Brown U).

For more information on this event, please contact Yilun (Allen) Wu.