Title：Long term wellposedness of the 3D gravity water wave equation with nonlocal initial data
Speaker：郑 凡 （普林斯顿大学）
Time：2019年9月3日（周二） 下午 15:00-16:00
Room：东区管理科研楼 365英国上市官网1418室
Abstract：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, 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)}.
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