Shock Waves in Hyperbolic Systems of Nonequilibrium Thermodynamics

Sub-shock formation in shock structure of a binary mixture of polyatomic gases

“…However, this necessary condition becomes also sufficient when the shock speed is greater than the maximum characteristic velocity evaluated in the unperturbed field, as was proved in a theorem by Boillat and Ruggeri [21]. The present status of the subshock formation is summarized in a recent survey [22] and in the book [9].…”

Shock structure in the 14 moment system of extended thermodynamics with high order closure based on the maximum entropy principle

“…The so-called subshocks -at least in the monatomic gas case -appear as undesirable artificial discontinuities that are not actually observed in experimental results. The case of a polyatomic gas turns out to be quite different from the case of monatomic gas, as was pointed out for example, in [15][16][17].…”

“…The features of the solution of the system of non-linear equations given in Eq. ( 9) for the 14 moment system when a first, second, and third order closures are exploited, could be studied along the lines presented in [19] for the case of the 13 moment system, restricted to only the first two order of the closure (for the linear closure of the 13 moment system, see also [24]).…”

Rankine–Hugoniot conditions obtained by using the space–time Hamilton action

“…Although shock waves are an important research topic for many years, the importance of the Riemann problem is not so clear in multidimensional situations. In case of complex medium, the Rankine-Hugoniot conditions are often the subject of discussions [3].…”