Global existence for the gravity water waves system in 2d

Global existence for the gravity water waves system in 2d

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Fabio Pusateri, Princeton University
Fine Hall 322

We will focus on the gravity water waves system in 2 dimensions and sketch the proof of global existence of small solutions. This is based on energy estimates performed in some special Lagrangian coordinates due to S. Wu, and on decay estimates which are proven using the Eulerian formulation of the system.