A gas turbine combustor assembly includes a fuel injector, a dome stator around the fuel injector, and a dome sleeve coupled to the dome stator. The dome sleeve defines an air inlet opening with the dome stator, and is carried to move with respect to the dome stator to change a flow area of the air inlet opening. The dome sleeve also defines a nozzle sloping downstream from the air inlet opening toward an outlet of the combustor assembly. The sloping nozzle defines an annular pinch gap adjacent an outlet of the fuel injector, and is coupled to move with the dome sleeve to change a flow area through the pinch gap.