There could be a number of reasons why your PlayStation 4 might start flashing blue and then turn off. One possibility is that there is something wrong with the power cord. If you have trouble turning on your PlayStation 4, it might be worth checking to see if the power cord is properly plugged in and if it’s been damaged in any way. Another possibility is that something is causing the PlayStation 4 to overheat. If this happens, you might need to take it to a nearby store or service center to get it fixed.