Geometric Analysis Seminar
D gravity-capillary water waves
Location: Hill 705
Date & time: Tuesday, 19 January 2016 at 3:00PM - 3:11PM
Yu Deng, Princeton University: Abstract: We discuss the 3D irrotational gravity-capillary water wave system in infinite depth. Jointly with A. Ionescu, B. Pausader and F. Pusateri, we prove the global regularity (and appropriate decay properties) of small solutions. This extends previous results of Wu, Germain-Masmoudi-Shatah and Ionescu-Pusateri where either the gravity or the surface tension term is absent.