Abstract
We present a mathematical analysis for sonic-supersonic jet flows exhausting into a vacuum (and an atmosphere) from a two-dimensional (2D) nozzle. We assume that the flow is governed by the 2D steady Euler system and the state of the flow is given at the exit of the nozzle. When the nozzle is surrounded by a vacuum, the global existence of locally Lipschitz continuous sonic-supersonic jet flows expanding into the vacuum from the nozzle is established. When the nozzle is surrounded by a static atmosphere with a lower pressure than the pressure of the flow at the exit of the nozzle, the local existence of sonic-supersonic jet flows exhausting into the atmosphere is established.
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