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05 May 2006
Simple Waves and a Characteristic Decomposition of the Two Dimensional Compressible Euler Equations
 Jiequan Li,
 Tong Zhang,
 Yuxi Zheng
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We present a characteristic decomposition of the potential flow equation in the selfsimilar 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 wellknown result on 2d steady potential flow and a recent similar result on the pressure gradient system.
Research partially supported by NSF of China with No. 10301022, NSF from Beijing Municipality, Fok Ying Tong Educational Foundation, and the Key Program from Beijing Educational Commission with no. KZ200510028018.
Research partially supported by NSFDMS0305497, 0305114.
Communicated by P. Constantin
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 Title
 Simple Waves and a Characteristic Decomposition of the Two Dimensional Compressible Euler Equations
 Journal

Communications in Mathematical Physics
Volume 267, Issue 1 , pp 112
 Cover Date
 20061001
 DOI
 10.1007/s0022000600331
 Print ISSN
 00103616
 Online ISSN
 14320916
 Publisher
 SpringerVerlag
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 Authors

 Jiequan Li ^{(1)}
 Tong Zhang ^{(2)}
 Yuxi Zheng ^{(3)}
 Author Affiliations

 1. Department of Mathematics, Capital Normal University, Beijing, 100037, P.R. China
 2. Institute of Mathematics, Chinese Academy of Sciences, Beijing, 100080, P.R. China
 3. Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA