Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Applications of invariant transformations in one-dimensional non-steady gasdynamics

Authors: S. P. Castell and C. Rogers
Journal: Quart. Appl. Math. 32 (1974), 241-251
DOI: https://doi.org/10.1090/qam/99682
MathSciNet review: QAM99682
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Abstract: Certain reciprocal and adjoint transformations available for one-dimensional non-steady gasdynamic flow are applied to an existing solution to construct new exact solutions of the governing equations. The particle trajectories and the pressure-density relations on these trajectories are calculated. An application of the adjoint transformation in studying the flow between a piston and a non-uniform shock wave is indicated.

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DOI: https://doi.org/10.1090/qam/99682
Article copyright: © Copyright 1974 American Mathematical Society

American Mathematical Society