Global existence results for water waves

PDE Seminar
Tuesday, November 1, 2011 - 15:05
1 hour (actually 50 minutes)
Skiles 005
New York University, Courant Institute of Mathematical Sciences
I will describe results of global existence and scattering for water waves (inviscid, irrotational), in the case of small data. I will examine two physical settings: gravity, but no capillarity; or capillarity, but no gravity. The proofs rely on the space-time resonance method, which I will briefly present. This is joint work with Nader Masmoudi and Jalal Shatah.