The invariant region for the equations of nonisentropic gas dynamics

Wei-Feng Jiang, Zhen Wang

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.


doi:10.1017/S144618111600033X

Keywords


gas dynamics, nonisentropic, existence of invariant region



DOI: http://dx.doi.org/10.21914/anziamj.v58i0.10975



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.