科学研究
Long-Time Asymptotics of 3-D Axisymmetric Navier-Stokes Equations in Critical Spaces
发布时间:2021-06-03浏览次数:

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) 13:50-14:50

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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