一类大初值下Navier-Stokes方程的全局正则性
偏微分方程分析
2015-04-09 v2
摘要
我们证明，对于形如\begin{equation}\nonumber u_0^\epsilon(x) = (v_0^h(x_\epsilon), \epsilon^{-1}v_0^n(x_\epsilon))^T,\quad x_\epsilon = (x_h, \epsilon x_n)^T, n \geq 4, \end{equation}的初值，只要初始速度剖面关于解析，且的某一范数充分小且与无关，则上不可压Navier-Stokes方程的Cauchy问题对所有小全局适定。
引用
@article{arxiv.1503.05659,
title = {Global Regularity to the Navier-Stokes Equations for A Class of Large Initial Data},
author = {Yukang Chen and Bin Han and Zhen Lei},
journal= {arXiv preprint arXiv:1503.05659},
year = {2015}
}