Table 5.

For the distinguished polytropic equation of state (2.21).

conserved density TdescriptionQT/δρQiTui
Embedded Imagepolytropic energyEmbedded Imageρui
Embedded Imagesimilarity energyEmbedded ImageEmbedded Image
Embedded Imagedilational energyEmbedded Imagetρ(tuixi)
Embedded Image