Preprint 2005-035

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

Abstract: 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.

Paper:

Available as PDF (152 Kbytes)

Author(s):

Jiequan Li

Tong Zhang

Yuxi Zheng, <yzheng@math.psu.edu>

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<yzheng@math.psu.edu> September 14 2005.