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题目： Long-time asymptotics of 3-D axisymmetric Navier-Stokes equations in critical spaces

报告人：刘彦麟 （北京师范大学）

时间：2021年7月1日（周四）上午10：30-11：30

地点：教二楼727

Abstract:  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.

联系人： 牛冬娟

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