论文标题
2D Navier-Stokes方程的边界层的增长机理
The growth mechanism of boundary layers for the 2D Navier-Stokes equations
论文作者
论文摘要
我们详细描述了Inviscid限制问题中边界层的形成。更具体地说，我们证明边界附近的涡度的大小正在增长至$ 1/\sqrtν$的大小，并且该层的宽度在有限的时间内扩散到成比例的$ \sqrtν$。实际上，增长时间扩展几乎为$ν$
We give a detailed description of formation of the boundary layers in the inviscid limit problem. To be more specific, we prove that the magnitude of the vorticity near the boundary is growing to the size of $1/\sqrtν$ and the width of the layer is spreading out to be proportional the $\sqrtν$ in a finite time period. In fact, the growth time scaling is almost $ν$
