Communications in Mathematical Physics

, Volume 267, Issue 1, pp 1–12

Simple Waves and a Characteristic Decomposition of the Two Dimensional Compressible Euler Equations


  • Jiequan Li
    • Department of MathematicsCapital Normal University
  • Tong Zhang
    • Institute of MathematicsChinese Academy of Sciences
  • Yuxi Zheng
    • Department of MathematicsThe Pennsylvania State University

DOI: 10.1007/s00220-006-0033-1

Cite this article as:
Li, J., Zhang, T. & Zheng, Y. Commun. Math. Phys. (2006) 267: 1. doi:10.1007/s00220-006-0033-1


We present a characteristic decomposition of the potential flow equation in the self-similar plane. The decomposition allows for a proof that any wave adjacent to a constant state is a simple wave for the adiabatic Euler system. This result is a generalization of the well-known result on 2-d steady potential flow and a recent similar result on the pressure gradient system.

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© Springer-Verlag 2006