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Detonations and flames, -just like shocks -, are steep and rapid transitions between two equilibria which represent regular singularities. The nature of the singular points is more difficult to identify than for shock waves, because of more variable-fields. After a review of the Chapman-Jouguet theory the fields of velocity, pressure, temperature, entropy and entropy production are calculated for two detonations with Mach number 7. Problems with flames in viscous gases are briefly discussed.

This paper presents a thermodynamic theory of light and sound. It demonstrates that extended thermodynamics permits the explicit calculation of the main part of the equations of balance of energy for photons and phonons. Wave speeds are calculated and the limiting cases of near-equilibrium and free streaming are discussed.