Global regularity for 2d water waves

Global regularity for 2d water waves

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Fabio Pusateri , Princeton University
Fine Hall 314

We consider the water waves system for the evolution of a perfect irrotational fluid with a free boundary, in 2 spatial dimensions, under the influence of gravity. We prove the existence of global solutions for suitably small and regular initial data. We also prove that the asymptotic behavior of solutions as time goes to infinity is different from linear, unlike the 3 dimensional case. This is joint work with A. Ionescu.