中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
报告人: 邓 煜 博士(Courant研究所,USA)
题 目:3D gravity-capillary water waves
时 间:2017.12.27(星期三),15 :00-17:00
地 点:数学院南楼N913室
摘 要:We discuss the 3D irrotational gravity-capillary water wave system in infinite depth. Jointly with A. Ionescu, B. Pausader and F. Pusateri, we prove global regularity (and appropriate decay) for 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.