题目🌭：Long-Time Asymptotics of 3-D Axisymmetric Navier-Stokes Equations in Critical Spaces

报告人🏊🏿‍♀️：刘彦麟 博士（北京师范大学） 

地点：致远楼108室

时间：2021年6月3日（星期四） 13：50-14𓀓：50

摘要：We show that any unique global solution (here we do not require any smallness condition beforehand) to 3-D axisymmetric Navier-Stokes equations in some scaling invariant spaces must eventually become a small solution. In particular, we show that the limits of $\|\omega^\theta(t)/r\|_{L^1}$ and $\|u^\theta(t)/\sqrt r\|_{L^2}$ are all $0$ as $t$ tends to infinity. And by using this, we can refine some decay estimates for the axisymmetric solutions.

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