We have received a very small number of customer support questions about  PS3’s 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: ***********/RockstarSupport
PlayStation 3 Support: us.playstation.com/support/ 
PlayStation 3 Support EU: www.eu.playstation.com