  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 $1/\sqrt{\nu}$ and the
width of the layer is spreading out to be proportional the $\sqrt{\nu}$ in a
finite time period. In fact, the growth time scaling is almost ${\nu}$
