Global Regularity to the Navier-Stokes Equations for A Class of Large Initial Data

Yukang Chen, Bin Han, Zhen Lei

We prove that for initial data of the form \begin{equation}\nonumber u_0^ε(x) = (v_0^h(x_ε), ε^{-1}v_0^n(x_ε))^T,\quad x_ε= (x_h, εx_n)^T, n \geq 4, \end{equation} the Cauchy probl…