Simple waves and a characteristic decomposition of the two dimensional compressible euler equations

Jiequan Li; Tong Zhang; Yuxi Zheng

doi:10.1007/s00220-006-0033-1

Simple waves and a characteristic decomposition of the two dimensional compressible euler equations

Jiequan Li, Tong Zhang, Yuxi Zheng

Mathematics

Research output: Contribution to journal › Article › peer-review

72 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1-12
Number of pages	12
Journal	Communications In Mathematical Physics
Volume	267
Issue number	1
DOIs	https://doi.org/10.1007/s00220-006-0033-1
State	Published - Oct 1 2006

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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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.",

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