HEAT-CONDUCTING, COMPRESSIBLE MIXTURES WITH MULTICOMPONENT DIFFUSION: CONSTRUCTION OF A WEAK SOLUTION

Abstract

We investigate a coupling between the compressible Navier-Stokes-Fourier system and the full Maxwell-Stefan equations. This model describes the motion of a chemically reacting heat-conducting gaseous mixture.

The viscosity coefficients are density-dependent functions vanishing in a vacuum and the internal pressure depends on species concentrations. By several levels of approximation we prove the global-in-time existence of weak solutions on the three-dimensional torus.

Keywords

• mixtures
• chemically reacting gas
• compressible Navier-Stokes-Fourier system
• Maxwell-Stefan equations
• weak solutions