It is the power steering fluid being low, I had the EXACT same thing on my old NA car... corner a little too hard and it gets loud and whiney until you shut the car off and start it up again, and it's magically gone until next time. My dipstick on the ps fluid was dry. Filled it up a little and this problem never happened again.

Check the fluid, it's not hard, just look behind the alternator. Unscrew the cap, wipe off the dipstick, reinsert and check the level, parked on a level surface preferably with the motor cold. Use a long funnel to fill it... only fill it a little at a time, the reservoir doesnt take much.