On steady transonic flow by compensated compactness

  title={On steady transonic flow by compensated compactness},
  author={Cathleen Synge Morawetz},
This paper contains a theorem for the mixed equations of potential flow in two space variables that is analogous to DiPerna's theorem [2] on the existence of weak solutions for two hyperbolic conservation laws and is based on the Tartar-Murat Lemma for compensated compactness, see [6]. The application is plane flow for which a suitable "viscous" model exists, and this will be discussed in another paper. Some hypothesis about speed must be made. There are other conceivable applications such as… CONTINUE READING

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