Shock structure problem in multi-temperature gaseous mixtures

Abstract

This paper discusses the shock structure problem in hyperbolic model of multitemperature gaseous mixtures. The model is used as a paradigm for physically motivated hyperbolic dissipative systems. Existence of continuous shock profile is usually related to the properties of simpler, equilibrium subsystem. The purpose of this paper is to show that appearance of the admissible shock profile can be related to stability properties of equilibrium states. This result can be obtained by analysis of the complete hyperbolic system, i.e. without prior study of equilibrium subsystem.