PS and Rockstar have both just released the following statement:

“We have received a very small number of customer support questions about PS3s overheating or shutting down while playing L.A. Noire. At this time, Rockstar Games and Sony can confirm that neither L.A. Noire or firmware update 3.61 are causing the PS3 hardware to overheat. We are both committed to working hard to find solutions to this and any issues that may arise. If you are experiencing any issues with L.A. Noire or your PS3 hardware, please contact technical support using any of the means provided below:
Rockstar Support: www.rockstargames.com/support
Rockstar Support on Twitter: twitter.com/RockstarSupport
PlayStation 3 Support: http://us.playstation.com/support/ ”

I have been playing with no issues, however, while a screen is loading, I have noticed that I hear my disc, or HDD running more than usual. Anyone else have any issues with crashing or overheating?