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

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 刘彦麟，北京师范大学
Inviter:
Title:
 Long-time asymptotics of 3-D axisymmetric Navier-Stokes equations in critical spaces
Time & Venue:
 2021.05.23 16:00-17:00 思源楼S803室
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.

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