Finite depth gravity water waves in holomorphic coordinates

Finite depth gravity water waves in holomorphic coordinates

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Benjamin Harrop-Griffiths, NYU
Fine Hall 322

We consider irrotational gravity water waves with finite bottom in 2d. We discuss the local well-posedness of this problem in holomorphic coordinates and establish cubic lifespan bounds for small initial data. This is joint work with Mihaela Ifrim and Daniel Tataru.