do a search and look upp how to run the fuel pump constant. you just need to jump two terminals on a check connector. remember how to do that and when it dies again try that. it seems like the car is running out of fuel if it dies away. if it runs after you jump the connector its probably your fuel pump ecu. or my other guess would be a relay which dies after it heats up or something. but if thats the cause you can replace the fuel pump ecu or just have another relay wired in to power your fuel pump.