中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：刘彦麟 副教授（北京师范大学）
题 目：Some large solutions to 3-D incompressible Navier-Stokes equations
时 间：2023.11.16（星期四）15:00-16:00
地 点：腾讯会议：297-718-303
摘 要：We prove that the classical 3-D Navier-Stokes equations have a unique global strong solution with the following three kinds of initial data: (1) The $H^{-\frac12,0}$ norm of $\partial_3u_0$ is sufficiently small. (2) In the cylindrical coordinates, $\partial_\theta (u_0^r,u_0^\thete,u_0^z)$ and $u_0^\theta$ are sufficiently small. (3) In the cylindrical coordinates, the initial data are of the form: $A(r,z)\cos N\theta +B(r,z)\sin N\theta$, provided that $N$ is large enough.
附件：