Multi-temperature mixture of fluids (original) (raw)

We present a survey on some recent results concerning the different models of a mixture of compressible fluids. In particular we discuss the most realistic case of a mixture when each constituent has its own temperature (MT ) and we first compare the solutions of this model with the one with a unique common temperature (ST ). In the case of Eulerian fluids it will be shown that the corresponding (ST ) differential system is a principal subsystem of the (MT ) one. Global behavior of smooth solutions for large time for both systems will also be discussed through the application of the Shizuta-Kawashima condition.