Colloquium| Institute of Mathematical Sciences
Time：14:00-15:00 Friday, December 13 Friday
Location：Room S408, IMS
Speaker: Professor Ping Zhang from School of Mathematical Sciences University of Chinese Academy of Sciences, Beijing
Abstract: The goal of this paper is to extend this type of result to the 3-D anisotropic Navier-Stokes system $(ANS)$ with only horizontal dissipation. More precisely, given initial data $u_0=(u_0^\h,u_0^3)\in \cB^{0,\f12},$ $(ANS)$ has a unique global solution provided that $|D_\h|^{-1}\pa_3u_0$ is sufficiently small in the scaling invariant space $\cB^{0,\f12}.$