Smooth Transonic Flows in De Laval Nozzles

@inproceedings{Wang2013SmoothTF,
  title={Smooth Transonic Flows in De Laval Nozzles},
  author={Chunpeng Wang and Zhouping Xin},
  year={2013}
}
This paper concerns smooth transonic flows of Meyer type in finite de Laval nozzles, which are governed by an equation of mixed type with degeneracy and singularity at the sonic state. First we study the properties of sonic curves. For any $C^2$ transonic flow of Meyer type, the set of exceptional points is shown to be a closed line segment (may be empty or only one point). Furthermore, it is proved that a flow with nonexceptional points is unstable for a $C^1$ small perturbation in the shape… CONTINUE READING

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