报告题目：Long term wellposedness of the 3D gravity water wave equation with nonlocal initial data
报 告 人：郑凡（ICMAT博后）
报告时间：2020年5月28日下午3点开始
报告地点：腾讯会议线上直播
会议链接：//meeting.tencent.com/s/0MyYLgFxKa1U
会议ID：312 220 646
报告摘要：In this talk, I will focus on a fundamental model in fluid mechanics, namely the 3D gravity water wave system. This equation describes the flow under gravity of an incompressible fluid occupying half the 3D space. The results include: almost global wellposedness for unweighted Sobolev initial data and global wellposedness for weighted Sobolev initial data with weight |x|^\alpha, for any \alpha > 0. In the periodic case, if the initial data lives on an R by R torus, and epsilon close to the constant solution, then the life span of the solution is at least R/\epsilon^2(log R)^{O(1)}.
