Global regularity for 2d water waves

Monday, December 9, 2013 -
3:15pm to 4:15pm
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.
Speaker: 
Fabio Pusateri
Princeton University
Event Location: 
Fine Hall 314