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Characteristic decomposition of compressible Euler equations for a non-ideal gas in two-dimensions

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Title Characteristic decomposition of compressible Euler equations for a non-ideal gas in two-dimensions
 
Creator ZAFAR, M
SHARMA, VD
 
Subject PRESSURE-GRADIENT SYSTEM
4 RAREFACTION WAVES
 
Description 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)] (C) 2014 AIP Publishing LLC.
 
Publisher AMER INST PHYSICS
 
Date 2014-12-28T11:04:52Z
2014-12-28T11:04:52Z
2014
 
Type Article
 
Identifier JOURNAL OF MATHEMATICAL PHYSICS, 55(9)
0022-2488
1089-7658
http://dx.doi.org/10.1063/1.4896080
http://dspace.library.iitb.ac.in/jspui/handle/100/16312
 
Language English