A Saturation Paradigm of Kelvin-Helmholtz Turbulence

At this time, we can explore the concept of going beyond the simplistic physical perspective and delve into a more comprehensive understanding. We can embark on a quantitative analysis to investigate how this instability functions. One possible approach is to examine the velocity gradient, as depicted in the provided scheme. The velocity is oriented along the X axis and exhibits variations along the Z axis. This represents the average flow in the X direction, which can be further examined through an equation to understand its evolution.