BIRS Workshop Lecture Videos
Computational exploration of water waves in two acts. 1. Diving under rotational water waves and 2. Wave collapse for ripples. Milewski, Paul
Act 1: We consider periodic traveling waves in a flow with constant vorticity and look in detail at the internal structure of the flow, including particle paths, stagnation points and pressure fields. The results illustrate some of the known theoretical results and also point to new interesting features. <br/> <br/> Act 2: Capillary gravity wave packets are described asymptotically by the focussing 2D NLS equation. This equation has solutions that blow up in finite time. We explore the dynamics of blowup initial data under the full Euler equations.
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