Boundary Driven Instabilities of Couette Flows

期刊论文
发表日期：

2025年8月1日

查看全文

Dongfen Bian,
Emmanuel Grenier,
Nader Masmoudi,
Weiren Zhao

摘要

In this article, we prove that the threshold of instability of the classical Couette flow in $H^s$ $H^{s}$ for large s is $\nu ^{1/2}$ $ν^{1 / 2}$ . The instability is completely driven by the boundary. The dynamic of the flow creates a Prandtl type boundary layer of width $\nu ^{1/2}$ $ν^{1 / 2}$ which is itself linearly unstable. This leads to a secondary instability which in turn creates a sub-layer.