Article contents
THE INVARIANT REGION FOR THE EQUATIONS OF NONISENTROPIC GAS DYNAMICS
Published online by Cambridge University Press: 06 March 2017
Abstract
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.
MSC classification
- Type
- Research Article
- Information
- Copyright
- © 2017 Australian Mathematical Society
References
- 1
- Cited by