As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
DESCRIPTION FROM THE PIC. WHILE DESCENDING THROUGH 320 I INCREASED THE RATE OF DESCENT FROM 1000 FPM TO 3000 FPM AS I PULLED THE THROTTLES TO AN IDLE THE NO 1 ENGINE FLAMES OUT. THE EMERGENCY CHECKLIST FOLLOWED BY THE AIR RESTART CHECKLIST WAS RAN. THE ENGINE RESTARTED WITH NO FURTHER INCIDENT.