Analysis of Maxwell–Stefan systems for heat conducting fluid mixtures

The global-in-time existence of bounded weak solutions to the Maxwell–Stefan–Fourier equations in Fick–Onsager form is proved. model consists mass balance for partial densities and energy equation total energy. diffusion heat fluxes depend linearly on gradients thermo-chemical potentials gradient temperature include Soret Dufour effects. cross-diffusion system exhibits an entropy structure, which originates from thermodynamic modeling. lack positive definiteness matrix compensated by fact that density constant time. estimate yields a.e. positivity temperature. Also matrices are considered degenerate vanishing densities.