non-linear breaking of waves in polarizable dielectric media

The propagation of weak discontinuities in a polarizable medium, when dielectric relaxation phenomena are taken into account, is considered. The fundamental transport equations governing the growth and the decay of discontinuities associated to the waves have been obtained and solved. Moreover a criterior for the "breakdown" of weak discontinuities is give

On the Shock Wave Discontinuities in Grad Hierarchy for a Binary Mixture of Inert Gases

The shock wave problem is investigated for a binary mixture of inert gases described at each closure level within the hierarchy of Grad 13–moment system. The analysis focuses on the occurrence of singularities as the Mach number increases: their compatibility with jump discontinuities is examined through a geometric approach, and confirmed by stability arguments

Sub-shock formation in Grad 10-moment equations for a binary gas mixture

The shock structure problem for Grad 10-moment equations for an inert binary mixture is investigated: necessary conditions for the formation of sub-shocks in fields of only one gas or of both components are rigorously obtained, and a detailed comparison with the shock-wave structure of its principal sub-system (deduced assuming vanishing viscous stress tensors) and of the equilibrium Euler sub-system is performed. Some numerical simulations for a mixture of argon and helium are presented

On the steady deflagration process for a gas mixture undergoing irreversible reactions

Steady deflagration waves are investigated for a mixture of four gases undergoing a bimolecular irreversible reaction. The influence of Mach number, of concentrations in the unperturbed state and of the chemical energy is shown via numerical simulations