What is described is a burner system with a premix burner (1), in which is provided at least one vortex generator (2), through which passes an air-containing gaseous main flow (ZL) which flows axially through the premix burner (1) and into which gaseous and/or liquid fuel is injected, downstream of the vortex generator (2), as a secondary flow for generating a fuel/air mixture, and with a combustion chamber (5) which adjoins the premix burner (1) downstream of the latter and has a combustion chamber cross section (C2) which is larger than the flow cross section (C1), delimited by the premix burner (1), directly upstream of the combustion chamber (5). The invention is distinguished in that, between the premix burner (1) and the combustion chamber (5), a flow duct (10) is provided, delimited by side walls which create a gradual transition between the flow cross section (C1) and the combustion chamber cross section (C2), and in that upstream, within and/or downstream of the flow duct (10) is provided at least one flow stall structure (11), by means of which the fuel/air mixture passing through the flow duct (10) is separated locally from the side wall of the flow duct (10).