Global existence results for water waves

Series
PDE Seminar
Time
Tuesday, November 1, 2011 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Pierre Germain – New York University, Courant Institute of Mathematical Sciences
Organizer
Andrzej Swiech
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.