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09-03【郑凡】管楼1418偏微分方程系列报告

澳门新葡新京:系统管理员发布时间:2019-08-31浏览次数:18


TitleLong term wellposedness of the 3D gravity water wave equation with nonlocal initial data
Speaker郑 凡    (普林斯顿大学
Time2019年9月3日(周二)      下午  15:00-16:00
Room东区管理科研楼   澳门新葡新京1418室

AbstractIn 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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