A model for relativistic fluid mixture with different pressure laws

Abstract

In the present paper a model for a compressible relativistic fluid 2-component mixture with different temperature, and even different pressure laws, is obtained. Total pressure is then the sum of the two independent pressures, which are supposed to be described by an evolution equation formally analogous to the usual one governing the pressure of a simple fluid. The deduced system is able to describe different complex situations, like plasma physics where the temperature of the electrons must be different from the temperatures of the other species. Weak discontinuities compatible with such kind of mixtures are also studied. In the isentropic case the governing equations are put into symmetric hyperbolic form in which the dependent variables are the two pressures plus a generalized velocity vector defined by the fluid's unit 4-velocity divided pointwise by the fluid's index.

A model of relativistic compressible two-phase flows with a general equation of state

“…-Multi-phase mixtures play a crucial role in many natural and industrial contexts. Over the past years, due to the wide range of applications, considerable attention has been devoted to the modeling of this kind of flows in classical and relativistic [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] framework.…”

Diffuse interface method for two-species relativistic flows with heat transfer and particle interconversion

“…There are several approaches to multi-fluid flow processes in the classical [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] and relativistic [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] contexts.…”

Weak discontinuity waves in a relativistic mixture of two stiffened gas components

“…Previous investigations [30][31][32] have been devoted to gas-dust, dust-liquid and liquid-gas systems, also in the relativistic context [33][34][35][36][37][38][39][40][41][42][43].…”