Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner

  • Wancheng ShengEmail author
  • Aidi Yao


The two-dimensional (2D) pseudo-steady isothermal flow, which is isentropic and irrotational, around a convex corner is studied. The self-similar solutions for the supersonic flow around the convex corner are constructed, where the properties of the centered simple wave are used for the 2D isentropic irrotational pseudo-steady Euler equations. The geometric procedures of the center simple waves are given. It is proven that the supersonic flow turns the convex corner by an incomplete centered expansion wave or an incomplete centered compression wave, depending on the conditions of the downstream state.

Key words

pseudo-steady flow isothermal flow two-dimensional (2D) Euler equation centered expansion simple wave centered compression simple wave 

Chinese Library Classification


2010 Mathematics Subject Classification

35L60 35L65 35L67 35R03 


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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsShanghai UniversityShanghaiChina
  2. 2.School of Mathematics and Big DataAnhui University of Science and TechnologyHuainan, Anhui ProvinceChina

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