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THE INVARIANT REGION FOR THE EQUATIONS OF NONISENTROPIC GAS DYNAMICS

Part of: Hyperbolic equations and systems

Published online by Cambridge University Press:  06 March 2017

WEI-FENG JIANG  and
ZHEN WANG
WEI-FENG JIANG*
Affiliation:
China Jiliang University, Hangzhou, China email casujiang89@cjlu.edu.cn
ZHEN WANG
Affiliation:
Wuhan Institute of Physics and Mathematics of the Chinese Academy of Sciences, Wuhan, China email zhenwang@wipm.ac.cn
*
✉casujiang89@cjlu.edu.cn
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Abstract

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We study the existence of the invariant region for the equations of nonisentropic gas dynamics. We obtain the mean-integral of the conserved quantity after making an intensive study of the Riemann problem. Using the extremum principle and the Lagrangian multiplier method, we prove that the one-dimensional equations of nonisentropic gas dynamics for an ideal gas possess a unique invariant region. However, the invariant region is not bounded.

Keywords

gas dynamicsnonisentropicexistence of invariant region

MSC classification

Primary: 35L65: Conservation laws
Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 3-4 , April 2017 , pp. 428 - 435
Copyright
© 2017 Australian Mathematical Society 

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