PeteCO, good question. I don't know the answer off the top of my head, but I do have a few thoughts. First, we know that sound travels in pressure waves. We also know that pressure waves build up in airflow as an object reaches the speed of sound. It can't be coincidental that the two are related. Hopefully someone with a better memory than I can put the two together.
I can tell you that Mach Tuck is not directly related to your question. Mach Tuck is just a RESULT of the fact that airflow changes as an airfoil approaches Mach 1. Basically, mach tuck is what happens when a subsonic airfoil if forced into trans-sonic speed and the center of pressure moves aft. Mach tuck can be overcome by good aircraft design. Things like proper airfoil selection, horizontal stab planform, stab airfoil etc, can be designed to minimize tuck effects.
There is a Gulfstream test pilot on this forum who knows a heck of a lot about these issues. Maybe if I post something that could be construed as a slight to the GV winglets, he'll see it and enter this string. (just kidding with ya, Gulfstream testpilot)
enigma