Transfer of energy for pure-gravity water waves with constant vorticity
Speaker:
Federico Murgante, The Fields Institute
Date and Time:
Thursday, April 2, 2026 - 1:30pm to 2:30pm
Location:
Fields Institute, Room 210
Abstract:
I will describe the proof of our recent result on energy transfer for two-dimensional pure-gravity water waves with constant vorticity. We construct smooth small-amplitude solutions whose high Sobolev norms grow arbitrarily large while lower-order norms remain small, exhibiting a genuine cascade of energy to high frequencies. The mechanism is driven by quasi-resonant interactions in a quasilinear setting.

