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Shock waves are very efficient at compressing fluid. Ideally, the maximum mass compression ratio is $f+1$, where f accounts for molecular degrees of freedom. Sufficiently strong shocks, those that induce very high temperatures downstream, may alter f by adding vibrational modes or promoting molecular dissociation. In addition, the nonadiabaticity of these effects, and others like ionization and/or radiation, also affect the mass compression ratio and other shock properties. These changes ultimately modify the D'yakov-Kontorovich limits associated with the acoustic stability of planar isolated shocks.
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Huete et al. (2020) studied this question.
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