Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution

Piotr Bogsław Mucha, Milan Pokorný, Ewelina Zatorska

Published 2014-01-20, updated 2014-05-04Version 2

We investigate a coupling between the compressible Navier-Stokes-Fourier system and the full Maxwell-Stefan equations. This model describes the motion of chemically reacting heat-conducting gaseous mixture. The viscosity coefficients are density-dependent functions vanishing on 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.