What was found
OPERATOR REPORTED DURING DESCENT FROM FL 410 WHEN POWER LEVERS WERE RETARDED, LEFT ENGINE ROLLED BACK AND FLAMED OUT. A SUBSEQUENT AIR-START WAS NOT ATTEMPTED. OPERATOR DESCENDED AND LANDED AT DESTINATION AIRPORT. TROUBLESHOOTING OF DISCREPANCY PER MM REVEALED NO ABNORMALITIES. WILLIAMS/ROLLS WAS CONTACTED AND RECOMMENED REMOVAL OF FUEL CONTROL UNIT FOR EVALUATION. INSTALLED REPLACEMENT FUEL CONTROL UNIT AND CHECKED FUEL NOZZLE FLOW PER SUGGESTION FROM WILLIAMS/ROLLS. NOTE: WAITING FOR FUEL CONTROL UNIT EVALUATION.