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We investigate a coupling between the compressible Navier-Stokes-Fouriersystem and the full Maxwell-Stefan equations. This model describes the motionof chemically reacting heat-conducting gaseous mixture. The viscositycoefficients are density-dependent functions vanishing on vacuum and theinternal pressure depends on species concentrations. By several levels ofapproximation we prove the global-in-time existence of weak solutions on thethree-dimensional torus.

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