Title: Characteristic decomposition of compressible Euler equations for a non-ideal gas in two-dimensions
Abstract: We consider a two-dimensional compressible Euler system for a non-ideal gas, and use the characteristic decomposition to establish that any pseudo-steady isentropic irrotational flow, adjacent to a constant state, must be a simple wave. Further, the constancy of the entropy and vorticity along the pseudo-flow characteristics extends the foregoing conclusion to full Euler system. An attention is drawn to the fact that the result is also applicable to the shallow water system as it bears a close structural resemblance with the system under study. These results are generalization of the well-known theorem on reducible equations by Courant and Friedrichs [Supersonic Flow and Shock Waves (Springer-Verlag, New York, 1999)] and a recent result on compressible Euler system for an ideal gas by Li et al. [“Simple waves and a characteristic decomposition of the two-dimensional compressible Euler equations,” Commun. Math. Phys. 267, 1–12 (2006)]
Publication Year: 2014
Publication Date: 2014-09-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 10
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